Straight Line Question 84

Question: A line L passes through the points (1, 1) and (2, 0) and another line $ {L}’ $ passes through $ ( \frac{1}{2},0 ) $ and perpendicular to L. Then the area of the triangle formed by the lines $ L,L’ $ and y- axis, is [RPET 1991]

Options:

A) $ ab $

B) $ \frac{ab}{2} $

C) $ 2ab $

D) $ \frac{ab}{3} $

Show Answer

Answer:

Correct Answer: B

Solution:

  • Area of the right angled triangle is $ =\frac{1}{2} $ (Perpendicular) × (base) = $ \frac{1}{2}ab $ .