Question

The equation of the line which cuts off the intercepts $2 a \sec \theta$ and $2 a \operatorname { cosec } \theta$ on the axes is.

• A. $x \sin \theta + y \cos \theta - 2 a = 0$
• B. $x \cos \theta + y \sin \theta - 2 a = 0$
• C. $x \sec \theta + y \operatorname { cosec } \theta - 2 a = 0$
• D. $x \operatorname { cosec } \theta + y \sec \theta - 2 a = 0$

Answer 1

Answer: (B)

$x \cos \theta + y \sin \theta - 2 a = 0$

Answer 2

Using the intercept form of the line

$\frac { x } { 2 a \sec \theta } + \frac { y } { 2 a \operatorname { cosec } \theta } = 1 \Rightarrow x \cos \theta + y \sin \theta = 2 a$ .