goals

If the equation of the ellipse is given to be $$16x^2+25y^2=400$$, then length of the major axis is $$10$$.

Equation of the chord of contact of pair of tangents drawn to the ellipse $$4x^2 + 9y^2 = 36$$ from the point $$(m, n)$$ where $$m.n = m+n; m, n$$ being non-zero positive integers is

The equation of the tangent to the ellipse $$4x^2+3y^2=12$$ at the point , whose eccentric angle is $$\dfrac {\pi}{4}$$, is:

Find the distance from centre of the point P on the ellipse $$\displaystyle \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$$ whose radius makes angle $$\displaystyle \alpha $$ with $$x-$$axis

Equation of an ellipse is given in its standard form as,$$16x^2+y^2=16$$. Length of the latus rectum is