Mathematics Tes...

for what values of a, f(x) is continuous at x = 0 :

If f(x) =  + 2; then f^–1 (y) = ?

 dx = ax + b ln (4e^x + 5e^–x) + c; then:

The area bounded by the loop of the curve 4y² = x² (4 – x²) is

Equation of the curve satisfying
xdy – ydx =  dx; y(1) = 0 is :-

An ellipse, with foci at (0, 2) and (0, –2) and minor axis of length 4, passes through which of the following points ?

A circle touching the x-axis at (3, 0) and making an intercept of length 8 on the y-axis passes through the point :

Find minimum value of 8 sin²θ + 2cosec²θ. Where  θ ∈ R :-

The length of the perpendicular drawn from the point (2, 1, 4) to the plane containing the lines and  is :