Q. The straight line whose sum of the intercepts on the axes is equal to half of the product of the intercepts, passes through the points
A) (1, 1)
B) (2, 2)
C) (3,3)
D) (4, 4)
Explanation
(b)
Let $a$ and $b$ be the intercepts made by the straight line on the axes. Then, according to questions
$a + b = \frac{ab}{2}$
$\Rightarrow \frac{2}{a} + \frac{2}{b} = 1$
On comparing with $\frac{x}{a} + \frac{y}{b} = 1$, we get
$\Rightarrow x = 2,\ y = 2$
Hence, straight line passes through the point $(2,\ 2)$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.