Mathematics Tes...

The solution to 

The area bounded by the curves x + 2|y| = 1 and x = 0 is:

The length of the common chord of the circles x² + y² + 2x + 3y + 1 = 0 and x² + y² + 4x + 2 = 0 is

In a triangle ABC, the angle B is greater than angle A. If the values of the angle A and B satisfy the equation 3 sin x - 4 sin³ x - k = 0, 0 < k < 1, then value of C is

The value of 

Suppose a, b, c are in AP and a², b², c² are in GP. If a < b < c & a + b + c = 3/2, then the value of a is

The function 

If log₂(4^x+1 + 4)log₂(4^x + 1) = log₂ 8, then x equals

If ‘M’ and σ² are mean and variance of random variable X, whose distribution is given by –

Then

If a,b,c are three unit vectors such that  and b is not parallel to c, then the angle between a and c is: