Mathematics Tes...

The real number k for which the equation, 2x³ + 3x + k = 0 has two distinct real roots in [0,1]

 then the point represented by the complex number z lies:

If the coefficients of x³ and x⁴ in the expansion of (1+ ax + bx²) (1 − 2x)¹⁸ in powers of x are both zero, then (a,b) is equal to:

If 100 times the 100^th term of an AP with non zero common difference equals the 50 times its 50^th term, then the 150^th term this AP is:

If the line 2x + y = k passes through the point which divides the line segment joining the points (1,1) and (2,4) in the ratio 3 : 2, then k equals:

Let A and B be two sets containing 2 elements and 4 elements respectively. The number of subsets of A × B having 3 or more elements is