Mathematics Question Paper of NDA(National Defence Academy & Naval Academy) Exam (I), 2009

1. Let a, y be the roots of A x² - 4x + 1 = 0 and β, δ be the roots of Bx² - 6x + 1 = O. If a, β, y, δ are in HP, then what are the values of A and B respectively?

(a) 3, 8    

(b) -3, -8

(c) 3, -8

(d) -3, 8

Ans: (d)

2. Under which one of the following condition does the system of equations

kx + y + z = k - 1
x + ky + z = k - 1
x + y + kz = k - 1

have no solution ?

(a) k = 1

(b) k ≠ -2

(c) k = 1 or k = -2

(d) k = -2

Ans: (c)

3. If the sides of a triangle are 6 cm, 10 cm and 14 cm, then what is the largest angle included by the sides?

(a) 90⁰

(b) 120⁰

(c) 135⁰

(d) 150⁰

Ans: (b)

4. If X and Y are any two non-empty sets, then what is (X - Y) , equal to?

(a) X'-Y'

(b) X'nY

(c) X'uY

(d) X - Y'

Ans: (c)

5. For finding the area of a triangle ABC, which of the following entities are required?

(a) Angles A, B and side a

(b) Angles A, B and side b

(c) Angles A, B and side c

(d) Either (a) or (b) or (c)

Ans: (c)

Download Mathematics Paper of NDA Exam I 2009