Question

Find the length of tangent of $\frac{x^2}{9}+\frac{y^2}{4}=1$ from $(3,2)$.

• A. $1$
• B. $2$
• C. $4$
• D. $6$

Answer 1

The correct option is A $1$

Length of tangent of $\frac{x^2}{9}+\frac{y^2}{4}=1$ from $(3,2)$

length of tengent $=\sqrt{E(3,2)}$

where $E(x,y)$ is the eqn of ellipse $E(x,y)=\frac{x^2}{9}+\frac{y^2}{4}$

length of tangent $=\sqrt{1+1-1}=1$