Question

Two mutually perpendicular straight lines are drawn from the origin to form an isosceles triangle with the straight line $x\cos \alpha +y\sin \alpha -p=0$. Then the area of this triangle is

• A. independent of $\alpha$
• B. independent of p
• C. independent of both $\alpha$ and p
• D. a function of $\alpha$ and p

Answer 1

The correct option is A independent of $\alpha$

Two mutually perpendicular lines drawn from origin i.e X-axis and Y-axis

$y=0$ and $x=0$

The area of triangle $=\frac{1}{2}\times x\times y$