Question Library
Browse our collection of questions across various subjects
Mathematics
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If f(x) = 2^(sin x), then what is the derivative of f(x) ?
NDA Mathematics 2012
NDA 2012
Mathematics
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Consider the following statements : 1.If y = ln(sec x + tan x), then dy/dx = sec x. 2.If y…
NDA Mathematics 2012
NDA 2012
Mathematics
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Let f : R → R be a function whose inverse is (x+5)/3. What is f(x) equal to ?
NDA Mathematics 2012
NDA 2012
Mathematics
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The radius of a circle is uniformly increasing at the rate of 3 cm/s. What is the rate of increase…
NDA Mathematics 2012
NDA 2012
Mathematics
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Which one of the following is correct in respect of the function f(x) = x^2 / |x| for x ≠…
NDA Mathematics 2012
NDA 2012
Mathematics
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If x^m + y^m = 1 such that dy/dx = -x/y, then what should be the value of m ?
NDA Mathematics 2012
NDA 2012
Mathematics
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Consider the following : 1.lim x→0 (1/x) exists. 2.lim x→0 e^(1/x) does not exist.Which of the above is/are correct ?
NDA Mathematics 2012
NDA 2012
Mathematics
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What is the equation to the straight line passing through (a, b, c) and parallel to z-axis ?
NDA Mathematics 2012
NDA 2012
Mathematics
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What are the direction ratios of the line of intersection of the planes x = 3z + 4 and y…
NDA Mathematics 2012
NDA 2012
Mathematics
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What is the equation to the plane through (1, 2, 3) parallel to 3x + 4y – 5z = 0…
NDA Mathematics 2012
NDA 2012
Mathematics
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What is the angle between the lines (x-2)/1 = (y+1)/-2 = (z+2)/1 and (x-1)/1 = (2y+3)/3 = (z+5)/2 ?
NDA Mathematics 2012
NDA 2012
Mathematics
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What are the direction cosines of a line which is equally inclined to the positive directions of the axes ?
NDA Mathematics 2012
NDA 2012
Mathematics
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What is the distance of the point (1,2,0) from yz-plane is :
NDA Mathematics 2012
NDA 2012
Mathematics
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If a line OP of length r (where ‘O’ is the origin) makes an angle α with x-axis and lies…
NDA Mathematics 2012
NDA 2012
Mathematics
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If the distance between the points (7,1,-3) and (λ,5,λ) is 13 units, then what is one of the values of…
NDA Mathematics 2012
NDA 2012
Mathematics
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If the points (2,4), (2,6) and (2+√3,k) are the vertices of an equilateral triangle, then what is the value of…
NDA Mathematics 2012
NDA 2012
Mathematics
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The equation of a straight line which makes an angle 45° with the x-axis with y-intercept 101 units is :
NDA Mathematics 2012
NDA 2012