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Lesson Posted on 06 Feb CBSE/Class 9/Mathematics Tuition/Class IX-X Tuition

Angle ACB = 90 Degree And Angle ACD = x. Find x.

Sujoy D.

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

Question: Solution: Method 1 given below: Method 2 given below: read more

Question:


Solution:

Method 1 given below:


 

Method 2 given below:


                                          

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Lesson Posted on 31 Jan CBSE/Class 9/Mathematics CBSE/Class 10/Maths1 Exam Coaching/NTSE exam Coaching

ABC Is An Equilateral Triangle With Side Length 6. If x Is A Point On Side CA, What Is The Minimum Value...

Sujoy D.

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

Q. ABC is an equilateral triangle with side length 6. If X is a point on side CA , what is the minimum value of BX² + XC² ? Answer: Let's D is mid point of CA (BD = height = 3√3) So, Bx^2 + Cx^2 = (3√3)^2 + Dx^2 + Cx^2 = 27 + Dx^2 + Cx^2 So minima = 27 + 2Dx.Cx (from... read more

Q. ABC is an equilateral triangle with side length 6. If X is a point on side CA , what is the minimum value of BX² + XC² ?

 

Answer: Let's D is mid point of CA (BD = height = 3√3)

So, Bx^2 + Cx^2 = (3√3)^2 + Dx^2 + Cx^2 = 27 + Dx^2 + Cx^2

So minima = 27 + 2Dx.Cx (from AM GM)

Now (Dx + Cx) = 3

DX^2 +CX^2 = (9-2DX.CX)

2Dx.Cx = 9-2Dx.Cx

2Dx.Cx = 9/2

Ans: 27+9/2 =  63/2

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Asked on 08 Feb CBSE/Class 9/Mathematics Tuition/Class IX-X Tuition

Explain why 7 ? 11 ? 13 + 13 and 7 ? 6 ? 5 ? 4 ? 3 ? 2 ? 1 + 5 are composite numbers.

Answer

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Answered on 01 Feb CBSE/Class 9/Mathematics Tuition/Class IX-X Tuition

The adjacent sides of a rectangle are 16 cm and 8 cm. Find the area of the rectangle.

Esther Y

Length=16c.m Breadth=8c.m Area =l*b=16*8=128cm sq
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Answered on 02 Feb CBSE/Class 9/Mathematics Tuition/Class IX-X Tuition

How many triangles can be drawn having its angles as 45 , 64 and 72 ? Give reason for your answer.

Sujoy D.

Tutor

Zero triangles.. we cant draw triangle with these angles. but the given angles are 45,64.72. if we add those we get 45+64+72=181. so we cannot draw triangle.
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Answered on 02 Feb CBSE/Class 9/Mathematics Tuition/Class IX-X Tuition

If the radius of a sphere is 2 r, then what is its volume?

Sujoy D.

Tutor

Volume of the sphere =( 4/3 π r3 ) cubic unit, If r = 2r then, Volume of the sphere: = [4/3 π(2r)3] = [4/3π × 8r3] = 32/3 π r3.
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Answered on 27 Jan CBSE/Class 9/Mathematics Tuition/Class IX-X Tuition

The mean of 10, 15, x, 5, 15 is 15. What is the value of x?

Atish Kumar Roy

Math Magician

Mean=sum of all observations÷total no. of observations 15 = (10+15+X+5+15) ÷ 5 75 = 45 + X X = 75 - 45 X = 30 So x is 3
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Answered on 06/12/2017 CBSE/Class 9/Mathematics Tuition/Class IX-X Tuition

Find the area of a right-angled triangle whose base is 12 cm and height is 5 cm.

Rajesh Kumar Regar

30cm^2
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Answered on 10 Feb CBSE/Class 9/Mathematics Tuition/Class IX-X Tuition

In a GK test a student was given 50 questions one by one. He gave the correct answer for 30 questions....

Ashish Jain

Maths Tutor

p = (30/50) = 3/5
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Answered on 14/12/2017 CBSE/Class 9/Mathematics Tuition/Class IX-X Tuition

The angles of a triangle are arranged in ascending order of magnitude. If the difference between two...

Balaji Puppala

Tutor

Let a be the one of the given triangle Let a+10, a+20 be another two angles a+a+10+a+20=180 3a+30=180 3a=150 a=50 50, 60, 70 are the required angles
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