NDA 2016

Let f : A R → where A=R\{0} is such that x | x | f (x) x + = . On which one of the following sets is f(x) continuous?

Which one of the following statements is correct in respect of the function f(x)=x2 sin x?

What is the area bounded by the curves |y|=1-x2?

What is f(x) equal to when x1?

What is f’(x) equal to when 0<x<1?

Which of the following statements is correct?

Which of the following statements is correct?

Which one of the following statements is correct?

What are the coordinates of the point on the parabola which is closest to the straight line?

What is the shortest distance from the above point on the parabola to the line?

What is the value of the differential coefficient of g(x) at x=-2?

Let f(x) be a function such that 2 1 f ' x f '(x) 0, x   + =    what is 1 1 f (x)dx − ∫ equal to?

What is 4 2 4 2 x 1 dx x x x 1 − + + ∫ equal to?

What are the degree and order respectively of the differential equation satisfying 2 2 y 1 x x 1 y x e ce ,− + − = (whe…

What is the curve which passes through the point (1, 1) and whose slope is 2y ? x

If x dy = y dx+y2 dy, y0 and y

What is the order of the differential equation 3 dx y dx x ? dy + =∫

Which one of the following differential equations represents the family of straight lines which are at unit distance fr…

What is 3 sin x 2 x cos x sin x e dx cos x − ∫ equal to?

If / 2 1 0 dx k cot 2, 3cos x 5 π − = +∫ then what is the value of k?