Mathematics Question Paper of NDA(National Defence Academy & Naval Academy) Exam (II), 2007
NDA (National Defence Academy & Naval Academy) Mathematics Exam Question Paper 2007: Download Question Paper of Mathematics of NDA Exam conducted by UPSC in 2007 to select right candidates in National Defence Academy & Naval Academy.
1. If sin-1 x = tan-1 y, What is the value of 1/x2 - 1/y2?
(a) 1
(b) -1
(c) 0
(d) 2
Ans: (a)
2. If a and β are such that tan a = 2 tan β, then what is sin (a + β) equal to?
(a) 1
(b) 2 sin (a - β)
(c) sin (a - β)
(d) 3 sin (a - β)
Ans: (d)
3. What is the value of cos 3060 + cos 2340 + cos 1620 + cos 180?
(a) 1
(b) -1
(c) 0
(d) 2
Ans: (c)
4. Let ABCD be a square and let P be a point on AB such that AP : PB = 1 : 2. If ∠APD = θ, then what is the value of cos θ?
(a) 1/ √10
(b) 1/√5
(c) 2/√10
(d) 2/√5
Ans: (a)
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