Mathematics Tes...

The curves 4x² + 9y² = 72 and x² - y² = 5 at (3, 2)

The area contained between the curve xy = a², the vertical line x = a, x = 4a (a > 0) and x -axis is

Complex numbers z₁,z₂ and z₃ in A.P.

From the origin chords are drawn to the circle x² + y² - 2y = 0. The locus of the middle points of these chords is

If | x | < 1, then the coefficient of xn in the expansion (1 + x + x² + x³ + ....)2 is

The pair of lines represented by 3ax2 + 5xy + (a² - 2)y² = 0 are ⊥ to each other for

The value of f(0) so that f x = sinx / x is continuous at x = 0 is

The tangent drawn from (α,β) to an ellipse (x²/a²)+(y²/b²)=1 touches the circle x²+y²=c² then the locus of (α,β) is