# CBSE [ Delhi ]_X_Mathematics_2009_Set II

To Access the full content, Please Purchase

• Q1

In figure, CP and CQ are tangents to a circle with centre O. ARB is another tangent touching the circle at R. If CP = 11 cm, and BC = 7 cm, then find the length of BR.

Marks:1

Given, CP and CQ are tangents from point C.
Therefore,
CP = CQ = 11 cm
Also,
BQ = BR
BQ = CQ – BC
= (11-7) cm
= 4 cm
BR = 4 cm.

• Q2

For what value of k, (-4) is a zero of the polynomial x2 x – (2k + 2)?

Marks:1

• Q3

The decimal expansion of the rational number will terminate after how many places of decimals?

Marks:1

• Q4

In the given figure, M = N = 46°. Express x in terms of a, b and c where a, b and c are lengths of LM, MN and NK respectively.

Marks:1

• Q5

Marks:1

• Q6

Find the value of a so that point (3, a) lies on the line represented by 2x - 3y = 5.

Marks:1

Since Point (3, a) lies on the line 2x – 3y = 5, so it will satisfy the equation of line.
Hence, 2(3) – 3(a) = 5
Or,           6 – 3a = 5
Or,                3a = 1
a = 1/3

• Q7

A cylinder and a cone are of same base radius and of same height. Find the ratio of the volume of cylinder to that of the cone.

Marks:1

Given,
Height of cylinder = Height of cone = h (say)
Volume of cylinder / Volume of cone = r²h/(1/3)r²h = 1/(1/3) = 3 : 1

• Q8

Find the distance between the points .

Marks:1

• Q9

Write the median class of the following distribution:
Classes          Frequency
0 – 10                  4
10 – 20                4
20 – 30                8
30 – 40                10
40 – 50                12
50 – 60                 8
60 – 70                 4

Marks:1

 Classes Frequency Cumulative frequency 0 – 10 4 4 10 – 20 4 8 20 – 30 8 16 30 – 40 10 26 40 – 50 12 38 50 – 60 8 46 60 – 70 4 50

Total number of observations (n) = 50.
So, n/2 = 25.
The cumulative frequency 26 is just greater than n/2 = 25.
So, 30 – 40 is the median class.