If the line x cos α + y sin α = 2√3 is tangent to the ellips... | Mathematics | SolveeIt | Solveeit

Today, August 19

Question

If the line x cos α + y sin α = 2√3 is tangent to the ellipse $\frac{x^2}{16} + \frac{y^2}{8} = 1$ and α is an acute angle then α =

A

$\frac{π}{6}$

B

$\frac{π}{4}$

C

$\frac{π}{3}$

D

$\frac{π}{2}$

Answer

$\frac{π}{4}$

Explanation

Solution

The correct option (B) $\frac{π}{4}$