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Lesson Posted on 24 Feb CBSE/Class 7/Maths CBSE/Class 6/Maths

Circular Motions & Typical Time Speed & Distance

Sujoy D.

1. Strong concept building classes. 2. Weekly tests in weak areas for students to improve their confidence. 3....

Question: A and B run around a circular track at speeds of 7m/s and 11m/s starting from the same point simultaneously in the same direction. At how many distinct points on the track will A and B meet if they run forever ? Answer: As the bodies are moving in same direction hence number of distinct... read more

Question:

A and B run around a circular track at speeds of 7m/s and 11m/s starting from the same point simultaneously in the same direction. At how many distinct points on the track will A and B meet if they run forever ?

Answer:

As the bodies are moving in same direction hence number of distinct points: (11-7) = 4

No the points will be same always as distinct are asked so only 4

Oa : 4

As the bodies are moving in same direction hence number of distinct points: (11-7) = 4

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Lesson Posted on 24 Feb CBSE/Class 6/Maths CBSE/Class 8/Maths

Circular Motions & ypical Time Speed & Distance

Sujoy D.

1. Strong concept building classes. 2. Weekly tests in weak areas for students to improve their confidence. 3....

Concept 1: Circular Motions is mostly based on two or three objects moving around a circular track. In such cases the relative speed becomes effective speed of the bodies. Let us assume the three objects are moving with a speed of a, b & c on a track of length L. (a>b>c) 1) If two bodies... read more

Concept 1: Circular Motions  is mostly based on two or three objects moving around a circular track.

In such cases the relative speed becomes effective speed of the bodies.

Let us assume the three objects are moving with a speed of a, b & c on a track of length L. (a>b>c)

1) If two bodies are moving in the same direction, their relative speed is (a-b).

2) If two bodies are moving in the opposite direction, their relative speed is (a+b)

Number of distinct Points at which body meets on a track:

1) If they are moving in same direction, they will meet at (a-b) distinct points, where a and b are coprimes

2) If they are moving in opposite directions, they will meet at (a+b) distinct points, where a and b are coprimes

3) All these points will be equidistant from each other.

Note: If they aren't coprimes then cancel the common part, make them coprime (a:b) and then use the above points.

Ex 1: If two bodies are moving in the opposite direction at speed 7 and 19, then they will meet at (7+19) = 26 distinct points on the track.

Ex 2: If two bodies are moving in the same direction at speed 6 and 15, (6:15 :: 2 : 5)then they will meet at (5-2) = 3 distinct points on the track.

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Lesson Posted on 24 Feb CBSE/Class 6/Maths

Circular Motions & Typical Time Speed & Distance 4

Sujoy D.

1. Strong concept building classes. 2. Weekly tests in weak areas for students to improve their confidence. 3....

Question: Arun, Barun and Kiranmala start from the same place and travel in the same direction at speeds of 30 km/hr, 40 km/hr and 60 km/hr respectively. Barun starts two hours after Arun. If Barun and Kiranmala overtake Arun at the same instant, how many hours after Arun did Kiranmala start? 1) 3... read more

Question:

Arun, Barun and Kiranmala start from the same place and travel in the same direction at speeds of 30 km/hr, 40 km/hr and 60 km/hr respectively. Barun starts two hours after Arun. If Barun and Kiranmala overtake Arun at the same instant, how many hours after Arun did Kiranmala start?

1) 3
2) 3.5
3) 4
4) 4.5
5) 5

Answer:

speed ---30---40---60 (HP)

Whereas time t---(t-2) -----???,

Since speed is in HP, so

Time Must be in AP,

So ans is Time is 4 hrs.


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Lesson Posted on 24 Feb CBSE/Class 6/Maths

Circular Motions & Typical Time Speed & Distance 6

Sujoy D.

1. Strong concept building classes. 2. Weekly tests in weak areas for students to improve their confidence. 3....

Concept 1 Post 2: Number of Distinct points 3 bodies will meet on a circular track. Step 1: Find out pairwise distinct meeting points. Step 2 : The overall answer will be the Highest Common Factor of the pairwise values. Example: suppose A, B and C are running with speeds of 7, 9 and 13 on a circular... read more

Concept 1 Post 2: Number of Distinct points 3 bodies will meet on a circular track.

Step 1: Find out pairwise distinct meeting points.

Step 2 : The overall answer will be the Highest Common Factor of the pairwise values.

Example: suppose A, B and C are running with speeds of 7, 9 and 13 on a circular track.

A and B are running clockwise, whereas C is running anti-clockwise.

A and B will have 9 - 7 = 2 distinct meeting points.

A and C will have 7 + 13 = 20 distinct meeting points.

B and C will have 9 + 13 = 22 distinct meeting points.

A, B and C will have HCF (2, 20, 22) = 2 distinct meeting points.

They will meet at 2 distinct points on the track.

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Lesson Posted on 24 Feb CBSE/Class 6

Explain Any Three Types Of Formations In Which Minerals Occur

Sujoy D.

1. Strong concept building classes. 2. Weekly tests in weak areas for students to improve their confidence. 3....

Three main types of formations in which mineral occurs are: (i) Veins and lodes In igneous and metamorphic rocks minerals may occur in the cracks, crevices, faults or joints. Smaller occurrences are called veins and larger ones are called lodes. (ii) Beds or Layers In sedimentary rocks, minerals... read more

Three main types of formations in which mineral occurs are:


(i) Veins and lodes In igneous and metamorphic rocks minerals may occur in the cracks, crevices, faults or joints. Smaller occurrences are called veins and larger ones are called lodes.


(ii) Beds or Layers In sedimentary rocks, minerals occur in bed or layers. They are formed as a result of deposition, accumulation and concentration in horizontal strata, (layers).


(iii) Placer Deposits Certain minerals occur as alluvial deposits in sands of valley floors and the base of hills as placer deposits.

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Lesson Posted on 24 Feb CBSE/Class 6

Describe The Spread Of Non-Cooperation Movement In The Countryside

Sujoy D.

1. Strong concept building classes. 2. Weekly tests in weak areas for students to improve their confidence. 3....

The Non-Cooperation Movement spread to the countryside. The following points state its spread: (i) In Awadh, peasants under the leadership of Baba Ram Chandra revolted against the talukdars and the landlords who demanded very high rent and different taxes from them. The peasant demanded reduction of... read more

The Non-Cooperation Movement spread to the countryside. The following points state its spread:

(i) In Awadh, peasants under the leadership of Baba Ram Chandra revolted against the talukdars and the landlords who demanded very high rent and different taxes from them. The peasant demanded reduction of revenue, abolition of begar and social boycott of oppressive landlords. In many places, local leaders told peasants that Gandhiji had declared that no taxes were to be paid and land was to be redistributed among the poor.

(ii) In the Gudem hills of Andhra Pradesh, a Militant Guerrilla Movement spread. The colonial government had closed large forest areas which affected the livelihood of the forest people. When the government forced them to contribute begar or free labour, they revolted. Alluri Sitaram Raju inspired by Gandhiji’s ideals came to lead them and the Gudem rebels attacked police stations and carried on guerrilla warfare for achieving Swaraj.

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Lesson Posted on 24 Feb CBSE/Class 6

Who Was Dietrich Brandis? Explain His Achievement In India

Sujoy D.

1. Strong concept building classes. 2. Weekly tests in weak areas for students to improve their confidence. 3....

Dietrich Brandis, a German expert, was appointed the first Inspector-General of Forests in India. His ideas and achievements for the management of forests are stated in the points below (i) He formulated new forest legislation and helped establish research and training institutions. The Imperial Forest... read more

Dietrich Brandis, a German expert, was appointed the first Inspector-General of Forests in India.

His ideas and achievements for the management of forests are stated in the points below

(i) He formulated new forest legislation and helped establish research and training institutions. The Imperial Forest Research Institute at Dehradun was founded by him in 1906.

(ii) He set up the Indian Forest Service (IFS) in 1864 and helped to formulate the Indian Forest Act of 1865.

(iii) He took an interest in the forest flora of North-West and Central India and Indian trees.

(iv) He was among the earliest expert in India to formally link forest protection with local people.

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Lesson Posted on 24 Feb CBSE/Class 6/Science

Getting To Know Plants

Manjit Singh

Currently i am doing PhD Degree in Instrumentation Engineering from Thapar University. I have 5 years...

Plants can be classified on the basis of their height, stem and branches. On these parameters, plants can be of three types, viz. Herbs, shrubs and tree. Herbs: Herbs are small plants which have soft stem. Examples: Wheat, paddy, cabbage, grass, coriander, etc. Shrubs: These are bushy and medium-... read more

Plants can be classified on the basis of their height, stem and branches. On these parameters, plants can be of three types, viz. Herbs, shrubs and tree.

tree, herb, srub

  1. Herbs: Herbs are small plants which have soft stem. Examples: Wheat, paddy, cabbage, grass, coriander, etc.
  2. Shrubs: These are bushy and medium- sized plants plant and they are somewhat bigger than herbs. Their branches start from just above the ground. Examples: Lemon, Coriander, Henna, Rose, etc. 
  3. Tree: These are tall and large plants with hard and woody stem. A single main-stem arises from the ground. The main-stem is called trunk. The trunk gives out many branches at certain height. The branches carry leaves, flowers and fruits. Examples: Mango, banyan, acacia, coconut, poplar, willow, etc.

Creepers: Plants with weak stem that cannot stand upright and spread on the ground are called creepers. Examples: Pumpkin, Watermelon, sweet potato, etc.

Climber: Plants with weak stem that needs support is called climber. Examples: Grapevine, money-plant, cucumber, bean, etc.

Structure of a typical plant: A typical plant contains two main parts, viz. roots and stem. The stem bears leaves, flowers and fruits.

Root: The underground part of a plant is called root. It is usually pale in colour.

Plant structure root

The root system consists of two types of root.

  1. Tap root: This is composed of a main root which grows from the base of the stem. Many branches and sub-branches come out of the main root (tap root). Examples: pea, radish, carrot, mango, marigold, mustard etc.
  2. Fibrous root: In this type, a cluster of thin fibre-like roots arise from the base of the stem. These roots spread out in the soil. Examples: Maize, grass, wheat, millet, etc.

Functions of roots:

  • Roots hold the plant firmly in the soil and thus provide anchorage to the plant. 
  • Roots absorb water and minerals from the soil.

Stem: Stem usually grows above the ground. The stem makes the main structural framework of the plant. The stem bears leaves, branches, buds, flowers and fruits. The point from where branches or leaves grow is called node. The portion of a stem between two consecutive nodes is called the internode.

Functions of the stem:
  • The stem gives structural support to the plant.
  • It bears branches, leaves, flowers and fruits.
  • The stem carries water and minerals from the roots to different parts of the plant.
  • Stem gets modified for food storage in some plants, e.g. potato, ginger, turmeric, etc.

Leaf: The leaf is a thin, flat and green structure which arises from the node of the stem. The green colour of leaves is due to the presence of chlorophyll. Chlorophyll is a green-coloured pigment. The flat green portion of the leaf is called leaf-blade or lamina. The leaf is attached to the stem by a short stalk; called petiole.

tree, herb, srub

Venation: Arrangement of veins in a leaf is called venation. When the veins make a network like structure, it is called reticulate venation, e.g. leaves of banyan, mango, jackfruit, etc. When the veins run parallel to each other, it is called parallel venation, e.g. leaves of paddy, wheat, grass, etc.

Stomata: There are many small openings on the lower surface of a leaf. These are called stomata. Stomata allow gases to enter or exit the leaf. Unwanted water is also removed through stomata; in the form of water vapour.

Transpiration: Loss of water vapour from plants through stomata and lenticels is called transpiration. A major portion of transpiration happens through stomata.

Functions of Leaves:

Photosynthesis: This is the main function of a leaf. Plants prepare food from carbon dioxide and water; in the presence of chlorophyll and sunlight. This process is called Photosynthesis.

Class VI, Science, Chapter, Getting to know Plants, Getting to Know Plants - Class Notes, Science, Class 6

Breathing: Stomata in leaves also facilitate breathing by leaves.

Flower: Flower is the most beautiful and colourful part of a flowering plant. It is the reproductive part of a plant.

Structure of a flower:

tree, herb, srub

Sepal: The outer green leafy structure in a flower is called sepal. Petals make the first whorl of a flower. This whorl is called calyx. It protects the flower at bud stage.

Petals: The coloured leaf-like structures; next to the sepals; are called petals. The bright colours of the petals, attracts insects. This helps the plants in reproduction. The whorl formed by the petals is called corolla.

Stamens: Around the centre of the flower there are many little stalks with swollen tops. These are called Stamen. It is the male part of the flower. Each stamen consists of a green stalk called filament. A capsule-like structure; called anther is at the top of the stamen. The anther produces pollen grains. Pollen grains are powder like particles and take part in reproduction.

Pistil: It is the female part of the flower. It is a flask- shaped structure in the middle of the flower. It is divided into three parts.

  1. Ovary: The lower broader portion of the pistil is called ovary. It contains the ovules which take part in reproduction.
  2. Style:The narrow middle portion of the pistil is called style. 
  3. Stigma: The sticky end at the top of the style is called stigma.
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Lesson Posted on 06 Feb CBSE/Class 7 CBSE/Class 6

Geometry (Triangle Basic Concepts)

Sujoy D.

1. Strong concept building classes. 2. Weekly tests in weak areas for students to improve their confidence. 3....

Three types of triangles: Acute (all angles less than 90°), Right Angle (one angle is 90°), Obtuse (one angle is more than 90°). Angle opposite to the larger side is always greater than angle opposite to smaller side. Sum of two sides is greater than third. So, in a trianlgle ABC... read more

Three types of triangles:

Acute (all angles less than 90°),

Right Angle (one angle is 90°),

Obtuse (one angle is more than 90°).

Angle opposite to the larger side is always greater than angle opposite to smaller side.

Sum of two sides is greater than third.

So, in a trianlgle ABC
AB + BC > AC,
AB + AC > BC
And AC + BC > AB

For acute angle triangle: AB² + BC² > AC², AB² + AC² > AB² and BC² + AC² > AB²

For right angle triangle: AB² + BC² = AC², where AC is hypotenuse

For obtuse angle triangle: AB² + BC² < AC², where AC is the largest side

There is one more way of classifying the triangles as:

i. Scalene (none of the sides are equal), Isosceles (two sides are equal) and equilateral triangle (all of the sides are equal).

ii. Congruency of triangles: Two or more triangles are congruent when they are equal in all aspects (shape, size and everything).

Conditions for congruency:
i) SSS congruency: When all the sides of the given two or more triangles are equal, then the triangles are congruent.

ii) SAS congruency: When two sides of the given two or more triangles are equal and angle formed by these two sides are also equal, then also the two triangles are congruent.

iii) ASA congruency: When two angles of the given two or more triangles are equal and side between these two angles are also equal, then also the two triangles are congruent.

iv) RHS congruency: If in two or more triangles we have right angle, equal hypotenuse and one of the other sides also equal, then the triangles will be congruent.

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Lesson Posted on 05/09/2017 CBSE/Class 6/Social Studies/Geography

Geography Class 6: Chapter 1

Shambhawee

I. The Earth and the Solar System: 1. The sun, the moon and all those objects shining in the night sky are called celestial bodies. 2. Some celestial bodies are very big. They are made up of gases. They have their own heat and light which they emit in large amounts. They are called stars. 3. Various... read more

I. The Earth and the Solar System:

1. The sun, the moon and all those objects shining in the night sky are called celestial bodies. 

2.  Some celestial bodies are very big. They are made up of gases. They have their own heat and light which they emit in large amounts. They are called stars.

3. Various patterns formed by different groups of stars in the sky. These are called constellations. Big bear or Ursa major and small bear or saptrishi (seven sages) are examples of such constellations.

4. The north star or pole star indicates the north direction. 

5. The word 'planet' has been derived from the Greek word 'Planetai' that means wanderers. 

II. The Solar System:

1. The sun, eight planets, and other celestial bodies like asteroids, meteoroids form together the Solar System.

2. In roman mythology, 'Sol' means the Sun-god. Solar means related to the sun.

III. The sun:

1. It is a huge ball of gases. It provides the pulling force that binds the whole solar system. The sun is about 150million kms. away from us. 

IV. Planets:

1. There are eight planets in the Solar System- Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus and Neptune.  

2. A new planet 2003 UB313 has been discovered in our solar system. 

V. The Earth:

According to size, it is the fifth largest planet. It's slightly flattered at the poles. That is why it's shape is described as Geoid, which means earth-like shape.

VI. The moon:

1. Its diameter is only one-quarter that of the Earth. It is about 3,84,400 km away from the Earth. The moon takes about 27days to complete one rotation and revolution of the Earth. It has no air or water available but it has mountains, plains and depressions on its surface.

VII. Asteroids:

1. Numerous tiny bodies (except stars, planets and satellites) which moves around the sun are called asteroids. They are mainly found between the orbit of mars and Jupiter.

2. The largest asteroid is called the Ceres. Scientists believe that te asteroids are also part of the planets. 

VIII. Meteoroids:

1. Small pieces of rocks which move around the sun are called meteoroids. They come near the Earth and tend to drop and during this they warm up and burn due to friction. A flash of light is often seen in the sky as a result of it. Sometimes, a meteor falls on the Earth and creates a hollow. 

IX. Extra points to remember:

1. Human made satellites are designed by scientists to gather information about the universe or for communication purpose. It is carried out by the rocket and placed in the orbit of the Earth.

2. INSAT, IRS, EDUSAT are few examples of indian satellites.

3. Neil Armstrong was the first man to step on the surface of the moon on July 29, 1969.

4. Satellites: As the planets move around the sun, satellites move around the planets.

5. The speed of light is about 300,000km per second. It takes 8 light minutes to reach sun from the Earth.

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