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Question 1

1.         Find the [HCF X LCM] for the numbers 105 and 120.

Question 2

2.         Find the number of solutions of the following pair of linear equations:

            x + 2y – 8 = 0

            2x + 4y = 16

Question 3

3.         If   a, 2 are three consecutive terms of an A.P., then fine the value of a.

Question 4

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

Question 5

5.         In the figure below, ΔABC is circumscribing a circle. Find the length of BC.

Question 6

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

Question 7

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

Question 8

 8.        In ΔLMN, ∠L = 50° and ∠N = 60°. If Δ LMN ~ ΔPQR,
then find ∠Q.

Question 9

9.         If sec²θ (1 + sin θ)(1 – sin θ) = k, then find the value of k.

Question 10

10.       Find the discriminant of the quadratic equation
 .