Question

If P and Q are the points of intersection of the straight line $x=1$ and the curve $x^{2}+xy+y^{2}=7$ then the acute angle between the normals drawn at P and Q is}

• A. $\frac{\pi}{2}$
• B. $\frac{\pi}{4}$
• C. $Tan^{-1}(\frac{15}{29})$
• D. $Tan^{-1}(\frac{5}{7})$ \bigskip

Hint:

Angle between normals is easier using slope formula rather than geometric construction.

Answer 1

The Correct Option is C