Mathematics Tes...

Equation of common tangents with positive slope to the circle x² + y² = 5 and hyperbola 4x² – 9y² = 36 is

Let z = x + iy, x, y ∈ R such that z ≠ 1 and |z – 1| ≠ 1. If 

If the function f : [0, 27] → R is diffrentiable and 0 < α < 1 < β < 2 < γ < 3, then  is equal to

Let ^pC_q be the number of ways in which 5 tickets are selected from 20 tickets from 1 to 20 so that no two consecutive numbered tickets are selected, then p – q may be

The logically equivalent statement of  is

A curve passing through (1, 2) and satisfying the differential equation  

If f : R → R⁺ be a decreasing function and such that 

Let , then A⁴⁸ is

If tanα, tanβ are the roots of the equation x² + px + q = 0, then the value of expression sin²(α + β) + psin(α + β) cos(α + β) + qcos²(α + β) is equal to