### Ellipse

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