Mathematics Question Paper of NDA(National Defence Academy & Naval Academy) Exam (I), 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.
6. What is the equation of the curve passing through the origin and satisfying the differential equation dy = (y tan x + sec x) dx ?
(a) y = x cos x
(b) y cos x = x
(c) xy = cos x
(d) y sin x = x
Ans: (a)
7. What is the solution of the differential equation dy/dx = sec (x + y) ?
(a) y + tan (x + y)= c
(b) y - tan {(x + y)/2}= c
(c) y + tan {(x + y)/2}= c
(d) y + tan {(x - y)/2}= c
Ans: (b)
8. For what value of k, does the differential equation dy/dx = ky represent the law of natural decay?
(a) -5
(b) 0
(c) 0.01
(d) (10)-1
Ans: (a)
9. What is/are the critical point(s) of the function f (x) = x2/3 (5- 2x)on the interval [-1, 2]?
(a) 1 only
(b) 0, 1/3
(c) 3/2 only
(d) 0, 3/2
Ans: (a)
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