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Practice Test - Mathematics 21

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Question 1

The projections of a vector on the three coordinate axis are 6, –3, 2 respectively. The direction cosines of the vector are

Question 2

The positive real number x, when added to its inverse, gives the minimum value of the sum at x equal to

Question 3

The area bounded by the curves y = cos x and y = sin x with x axis and the co-ordinates x = 0 and is

Question 4

For natural numbers m, n if (1 – y)^m(1 + y)ⁿ = 1 + a₁y + a₂y² + … , and a₁ = a₂ = 10, then (m, n) is

Question 5

The number of complex numbers z such that |z – 1| = |z + 1| = |z – i| equals

Question 6

The circle passing through (1, −2) and touching the axis of x at (3, 0) also passes through the point

Question 7

An ellipse has OB as semi minor axis, F and F' its foci and the angle FBF' is a right angle. Then the eccentricity of the ellipse is

Question 8

The solution for x of the equation is

Question 9

The normal to a curve at P(x, y) meets the x–axis at G. If the distance of G from the origin is twice the abscissa of P, then the curve is a

Question 10

is equal to

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Sep 18JEE & BITSAT