Straight Line Question 327

Question: Equation of the perpendicular bisector of the line segment joining the points (7, 4) and (-1, -2), is [AMU 1979]

Options:

A) $ 4x-3y=15 $

B) $ 3x+4y=15 $

C) $ 4x+3y=15 $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • Midpoint $ \equiv (3,1) $ Slope of perpendicular $ =\frac{-1}{\frac{-2-4}{-1-4}}=\frac{-4}{3} $ Therefore the required equation is $ 4x+3y=4(3)+3(1)=15 $ .