 # CBSE [ Delhi ]_X_Mathematics_2009_Set I

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 p, are 2p – 1, 7 and 3p three consecutive terms of an A.P. ?

Marks:1

Given, 2p – 1, 7 and 3p are in A.P, then

7 - (2p - 1) = 3p - 7 7 - 2p + 1 = 3p - 7 5p = 8 + 7 p = 3

• Q3

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

Marks:1 • Q4

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

Marks:1 • Q5

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 • Q6 Marks:1 • Q7

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

• Q8

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

• Q9

Find the distance between the points .

Marks:1 • Q10

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