 # CBSE [All India]_X_Mathematics_2009_Set III

To Access the full content, Please Purchase

• Q1

Find the number of solutions of the following pair of linear equations :
x + 2y – 8 = 0
2x + 4y = 16

Marks:1 • Q2

If 4/5, a, 2 are three consecutive terms of an A.P., then find the value of a.

Marks:1 • Q3

Two coins are tossed simultaneously. Find the probability of getting exactly one head.

Marks:1 • Q4

In figure, ABC is circumscribing a circle. Find the length of BC. Marks:1

From the given figure, we have

BP =  BR = 3 cm

CQ = AC - AQ = (11 - 4) cm = 7 cm [ AQ = QR]

Now, BC = BP + PC = (3 + 7) cm = 10 cm [ PC = CQ].

• Q5

If the diameter of a semicircular protractor is 14 cm, then find its perimeter.

Marks:1 • Q6

If 1 is a zero of the polynomial p(x) = ax2 – 3 (a – 1) x –1, then find the value of a.

Marks:1

If 1 is the zero of the polynomial, then
p(1) = 0 p(1) = a(1)2 – 3 (a – 1) 1 –1 = 0 a – 3a + 3 –1 = 0 –2a = –2 a = 1

• Q7 Marks:1 • Q8

Find the discriminant of the quadratic equation Marks:1 • Q9

If  the areas of two similar triangles are in the ratio 25 : 64, write the ratio of their corresponding sides.

Marks:1 