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M

Mukund 03 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

What is the formula for volume of a sphere?

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Tapas replied | 6 days ago

Please see the attachment.

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Answer

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P

Pinaki 03 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Volumes

Find the volume of a sphere whose radius is 6 cm?

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Tapas replied | 6 days ago

Please see the attachment.

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Answer

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A

Avinesh 03 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Real Numbers

Find twenty rational numbers lying between 0 and 0.5?

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Sreedevi replied | 5 days ago

1/100,2/100, 3/100, ....,2/10 are the 20 rational numbers in between 0 and 0.5.
You can also use mean method to find the 20 rational numbers that lie between 0 an 0.5.
for example: 0< (0+1/2)/2<1/2 that is the average of the two given numbers always lie in between the two given rational numbers. by proceeding like that we can find 'n' rational numbers in between any two rational numbers.

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A

A.mohamed 03 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Real Numbers

Every point on the number line corresponds to a ____ number which may be either ____ or ______ ?

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S

Sadhana replied | 5 days ago

real, positive, negative

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Answer

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K

Kevin 03 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Real Numbers

Is 2 + square root of 2 is not a rational number?

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Show previous answers

Sridharlaramesh replied | 18 Nov

No

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Ram Mohan replied | 21 Nov

Mr Kevin, the Author of the Question, wants to know, whether his presumption, that " (2 + sqrt 2) is not a RATIONAL NUMBER" is TRUE or FALSE.. "Sqrt 2" is an irrational number. "( 2 + sqrt 2)" is a compound number, containing an irrational part. Therefore the whole one, is an irrational number. That is; "(2+ sqrt2)" is not a rational number. Therefore the presumption of Mr Kevin...  more»
Mr Kevin, the Author of the Question, wants to know, whether his presumption, that " (2 + sqrt 2) is not a RATIONAL NUMBER" is TRUE or FALSE.. "Sqrt 2" is an irrational number. "( 2 + sqrt 2)" is a compound number, containing an irrational part. Therefore the whole one, is an irrational number. That is; "(2+ sqrt2)" is not a rational number. Therefore the presumption of Mr Kevin the Author is TRUE. Hence the answer to this Question should be Either 'TRUE' OR " YES" But not the "NO" given by Mr Sreedharlaramesh and Mr Dheerendra. Please verify . «less

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K

Kunal 03 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Real Numbers

Express 7/64 as a decimal form?

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Tapas replied | 29 Nov

7/64 = 0.109375 = 0.11 (approximately)

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Answer

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M

Mahesh 03 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Real Numbers

Express 12/125 as a decimal fraction?

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Tapas replied | 29 Nov

12/125 is a fraction. In decimal form 12/125 = 0.096.

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Answer

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K

Kavitha 03 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Real Numbers

What is the largest number which divides 70 and 125, leaving remainders 5 and 8?

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Tapas replied | 29 Nov

So, we need to find out the largest number which divides (70-5) = 65, and (125 - 8) = 117 leaving no remainder.
So, we need to find the HCF of 65 and 117, which is 13.
Answer: 13

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M

Murugan 03 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Real Numbers

Solve: 1457/1250?

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Tapas replied | 29 Nov

1457/1250 = 1.1656.

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Answer

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A

Afreen 03 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Quadratic Equations

Check whether the following equation is quadratic or not: square of x - 6 x - 4 = 0?

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Tapas replied | 6 days ago

This is a quadratic equation as highest power of x is 2.

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Answer

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U

Ushashree 03 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Quadratic Equations

Using factorization, find the roots of the quadratic equation: 9(square of x) - 16 = 0?

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Tapas replied | 6 days ago

9x^2 - 16 = 0
=> (3x)^2 = 4^2 =0
=> (3x + 4)(3x - 4)=0
so, 3x = 4 --> x = 4/3
or, 3x = -4 --> x = -4/3
Answer: x = 4/3 or -4/3.

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Answer

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P

Pravin 03 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Quadratic Equations

Solve: 4(square of x) + 2x + 1 = 0?

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Jeet replied | 4 days ago

{-1+i(root3)}/4 and {-1-i(root3)}/4.

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Answer

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A

Abhishek 03 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Quadratic Equations

Determine the value of p for which the given quadratic equation has real roots: p(square of x) + 4x + 1 = 0?

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Tapas replied | 29 Nov

The equation: px^2 + 4x + 1 = 0. The roots are real if the discriminant is zero or positive.
So, 4^2 - 4p >= 0 (>= means greater than or equal to).
=> p is smaller than or equal to 4.
Answer: p must be equal to 4 or smaller.

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Answer

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S

Sajini 03 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Quadratic Equations

The hypotenuse of a grassy land in the shape of right triangle is 1 meter more than twice the shortest side. If the third side is 7 meters more than the shortest side, find the sides of the grassy land?

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Tapas replied | 29 Nov

Let the length of the shortest side be x. Then, the two sides other than the hypotenuse are x and (x + 7). So, by the given condition:
(2x +1)^2 = x^2 + (x + 7)^2.

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Tapas replied | 29 Nov

Let the length of the shortest side be x. Then, the two sides other than the hypotenuse are x and (x + 7). So, by the given condition:
(2x +1)^2 = x^2 + (x + 7)^2
=> 4x^2 + 4x + 1 = 2x^2 + 14x + 49
=> 2x^2 -10x - 48 = 0
=> x^2 - 5x - 24 = 0
=> x^2 - 8x + 3x -24 = 0
=> (x - 8)(x + 3) = 0
x = 8 or - 3. But the length of a side of a land cannot be negative....  more»
Let the length of the shortest side be x. Then, the two sides other than the hypotenuse are x and (x + 7). So, by the given condition:
(2x +1)^2 = x^2 + (x + 7)^2
=> 4x^2 + 4x + 1 = 2x^2 + 14x + 49
=> 2x^2 -10x - 48 = 0
=> x^2 - 5x - 24 = 0
=> x^2 - 8x + 3x -24 = 0
=> (x - 8)(x + 3) = 0
x = 8 or - 3. But the length of a side of a land cannot be negative.
So, x = 8m and the other sides are x + 7 = 15m, and (2x + 1) = 17m.
So, the sides of the land are 8m, 15m, and 17m. «less

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Answer

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S

Sandeep 04 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

How many types of relations are there?

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K

Kusuma replied | 5 days ago

4- Reflexive, Symmetric, Transitive and Equivalence

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Answer

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S

Sharanya 04 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Relations

Define one to one relation?

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K

Kusuma replied | 5 days ago

It includes only two ends. In other words, Information is passed from one end to other end (Not more than one end).

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Answer

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P

Purushotham 02 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Surface Areas

Two cubes each of volume 64 cubic cm are joined end to end. Find the total surface area of the resulting cuboid?

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Sreedevi replied | 4 days ago

T.S.A of cuboid = 2 (lb+bh+lh);Given volume of the cube = 64 cubic cm.
From this we can find the length of the side of the cube by taking the cube root of 64 and it is equal to 4.
Now we have length of the cube = breadth of the cube = height of the cube = 4cm.
On joining 2 such cubes, we get length of the cuboid = 4+4 =8 cm; breadth and height remain same as we are...  more»
T.S.A of cuboid = 2 (lb+bh+lh);Given volume of the cube = 64 cubic cm.
From this we can find the length of the side of the cube by taking the cube root of 64 and it is equal to 4.
Now we have length of the cube = breadth of the cube = height of the cube = 4cm.
On joining 2 such cubes, we get length of the cuboid = 4+4 =8 cm; breadth and height remain same as we are joining the two cubes side by side.
On substituting the values, we get T.S.A = 160 square cm «less

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Answer

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S

Sumimolss 02 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Probability

Can the experimental probability of an event be a negative number? If not why?

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Sreedevi replied | 4 days ago

The probability of the outcome of an experiment is never negative.

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Answer

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K

Kiran 02 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Probability

Can the experimental probability of an event be greater than 1? Justify your answer?

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Sreedevi replied | 4 days ago

No, because the number of successes and failures should be equal to 1.

0 0

Sreedevi replied | 4 days ago

No, because the number of successes and failures should be equal to 1.
The probability of an event will not be less than 0. This is because 0 is impossible (sure that something will not happen). The probability of an event will not be more than 1. This is because 1 is certain that something will happen.

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Answer

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M

Meraj 02 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Probability

Find the probability of getting a number less than 5 in a single row of a die?

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Sreedevi replied | 4 days ago

In the single throw of a die, the sample space n(S) = 6; let 'E' be the event of getting '5'. n(E) = 1; P(E) = n(E) /n(S); P(E) = 1/6.

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Answer

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J

Jyoti 02 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Probability

One card is drawn from a well shuffled deck of 52 cards. Find the probability of drawing an ace?

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Sreedevi replied | 4 days ago

There will be 4 aces (Event E) that belongs to 4 different types say hearts, clubs, diamonds and spades. The probability of getting an ace of 52 cards (sample space = 52) is given by the ratio of favourable events to sample space.
P(E) = n(E) / n(S); P(E) = 4/52; P(E) = 1/4.

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Answer

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M

Mukul 02 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Trigonometry

If angle sin A = 1/2, then the value of cot A?

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T Raghavender replied | 26 Nov

SinA = 1/2. =>A=30 degrees, cotA = cot30 = root 3.

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Sarvajeet Kumar replied | 4 days ago

sin A = 1/2, cos A = square root 3 /2.
cot A = square root 3.

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Answer

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S

Sanjeevani 03 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Functions

Find the value of x and y, if (2x, x + y) = (6, 2)?

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Chandan replied | 22 Nov

2x=6
x=3,
Now x+y=2
3+y=2
y=-1.
Hence x=3
y=-1

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Answer

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B

Basundhara 03 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Algebra

Which property is used to write a(x + y) = ax +ay?

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Shikha replied | 23 Nov

Distributive property.

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Answer

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A

Agastya 03 Nov in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Algebra

Which line given by its equation: [2 (3x - 2)] - 3 = 7?

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Shikha replied | 22 Nov

6x=14

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Answer

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