Coordinate Geometry Question 119

Question: The locus of P such that area of $ \Delta PAB=12sq. $ units, where $ A(2,3) $ and $ B(-4,5) $ is

[EAMCET 1989]

Options:

A) $ (x+3y-1)(x+3y-23)=0 $

B) $ (x+3y+1)(x+3y-23)=0 $

C) $ (3x+y-1)(3x+y-23)=0 $

D) $ (3x+y+1)(3x+y+23)=0 $

Show Answer

Answer:

Correct Answer: B

Solution:

Let P be (x, y). $ \Delta =\pm 12 $
$ \Rightarrow x+3y+1=0 $ and $ x+3y-23=0 $ .