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Shashank Holla

3014 silver badges11 bronze badges

earned this badge 4 times.

If $ \alpha_i, i=0,1,2...n-1 $ be the nth roots of unity, the $\sum_{i=0}^{n-1} \frac{\alpha_i}{3- \alpha_i}$ is equal to?

Awarded Jun 2 at 20:27

Prove that $ \lim_{x\to0} ({1^{(1/\sin^2x)} + 2^{(1/\sin^2x)} + 3^{(1/\sin^2x)} + ....+ n^{(1/\sin^2x)})^{\sin^2(x)}} = \frac{n(n+1)}{2} $

Awarded Aug 1, 2020 at 15:50

Tangent at any point on the hyperbola $x^2/9-y^2/16 = 1$ meets another hyperbola at $A$ and $B$.

Awarded Nov 29, 2019 at 14:15

If a hyperbola whose foci are (–2, 4) and (4, 6) touches y–axis then equation of hyperbola is

Awarded Feb 8, 2019 at 5:00

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