Question

Suppose two lines are drawn through the common points of intersection of hyperbola $\frac{x^{2}}{a^{2}}–\frac{y^{2}}{b^{2}}$= 1 and circle x2 + y2 + 2gx + 2fy + c = 0. If these lines are inclined at angles a and b to x-axis, then-

• A. a = b
• B. a + b =$\frac{\pi}{2}$
• C. a + b = p
• D. a + b = 2 tan–1$\left( \frac{b}{a} \right)$

Answer 1

Answer: (C)

a + b = p

Answer 2

As the lines joining common points of intersection must be equally inclined to axes, so,

tan a = – tan b Ю a + b = p