CBSE [ All India ]_X_Mathematics_2009_Set I

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

Marks:1

• Q9

Find the discriminant of the quadratic equation

Marks:1

• Q10

Find the [HCF x LCM] for the number 100 and 190.

Marks:1