Question

Number of tangents from $(7,6)$ to ellipse $\frac{x^2}{16}+\frac{y^2}{25}=1$ is.

• A. $0$
• B. $1$
• C. $2$
• D. None of these

Answer 1

The correct option is C $2$

Let $S=\frac{x^2}{16}+\frac{y^2}{25}-1=0$
At point $(7,6),S_1>0$. So, two tangents can be drawn from this point.