Straight Line Question 316

Question: The equation of line whose mid point is $ (x_1,\ y_1) $ in between the axes, is [RPET 1988]

Options:

A) $ \frac{x}{x_1}+\frac{y}{y_1}=2 $

B) $ \frac{x}{x_1}+\frac{y}{y_1}=\frac{1}{2} $

C) $ \frac{x}{x_1}+\frac{y}{y_1}=1 $

D)None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • Intersection point on x-axis is $ (2x_1,0) $ and on y-axis is $ (0,2y_1) $ . Thus equation of line passes through these points is $ \frac{x}{x_1}+\frac{y}{y_1}=2 $ .