If a vertex of a triangle is (1, 1) and the mid-points of two sides through this vertex are (-1, 2) and (3, 2), then the centroid of the triangle is

The value of tan 1º tan 3° tan 5°....tan 89° is :

Let f(x) = x². Then by mean value theorem, there exists a point c in the interval [0,2] where df/dx is equal to :

If θ is the angle between the vectors a and b, such that | axb| = | a.b |, then θ is equal to

Section of a sphere by a plane is a :

Consider a dice with the property that probability of a face with n dots showing up is proportional to n. The probability of face showing 4 dots is :

The probability of guessing the correct answer to a certain test question is x/12 If the probability of not guessing the correct answer to this question is is equal to2/3 then x=?

Let L: R2 to R2 be the linear transformation such that L (1, 1) = (1, -2), L (-1, 1) = (2, 3). Then L (-1, 5) is equal to:

The number of local extreme values of f(x, y)=y^2−x^2, is :

Number of elements in power set of empty set :

Suppose X = {a, b, c, d} and R is a relation on X. If R = { (a,a), (b,b), (d,d), (a,b), (b,a), (b,d), (d,b) } then :

The remainder when 2^{50} is divided by 7 is :

The number of solutions of 3x = 5(mod7) is/are :

What is the smallest positive integer in the set { 12x + 30 + 3000z | x, y, z∈Z}?

Which of the following is a subspace of the vector space R³?

The equation of tangent at the point (0, 2) to the circle x² + y²-4x+2y-8=0 is:

Differential equation of the curve y = cx+1/c is:

The maximum number of linearly independent solutions of y'''' = 0, y(0) = 1, is