Mathematics Tes...

The number of terms in the expansion of  which are integers, is given by

In the Argand plane if O, P, Q represent respectively the origin, the complex number z and z + iz, then angle OPQ is

There are unlimited number of identical balls of four different colours. How many arrangements of at most 8 balls in row can be made by using them?

The value of iⁱ is :

For what value of  'a' is the area bounded by the curve y = a²x² + ax + 1 and the straight line y = 0, x = 0 & x = 1 the least ?

If a₁, a₂, a₃,....a₂₀ are AMs between 13 and 67, then the maximum value of product a₁ a₂ a₃ ....a₂₀ is.

The area bounded by the curvesy = (x - 1)² ,  y = (x+1) ² and y = 1/4 is

Let z and ω be two non-zero complex numbers such that z = ω and arg z + arg ω = π, then z equals

If two distinct chords, drawn from the point (p, q) on the circle x² + y² = px + qy (where pq ≠ 0) are bisected by the x-axis, then

If two vertices of a triangle are (5, -1), (-2, 3) and the orthocentre of the triangle lies at the origin, then the third vertex is