SATHEE: Straight Line Question 251

Straight Line Question 251

Question: Consider the points $ A(0,1) $ and $ B(2,0), $ and P be a point on the line $ 4x+3y+9=0. $ The coordinates of P such that $ | PA-PB | $ is maximum are

Options:

A) $ (-12/5,17/5) $

B) $ (-84/5,13/5) $

C) $ (-6/5,17/5) $

D) $ (0,-3) $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] The equation of AB is $ y-1=\frac{0-1}{2-1}x $ or $ x+2y-2=0 $ $ | PA-PB |\le AB $ Thus, $ | PA-PB | $ is maximum if the points A, B and P are collinear. Hence, solving $ x+2y-2=0 $ and $ 4x+3y+9=0 $ we get point $ P(-84/5,13/5). $

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Straight Line Question 251

Question: Consider the points $ A(0,1) $ and $ B(2,0), $ and P be a point on the line $ 4x+3y+9=0. $ The coordinates of P such that $ | PA-PB | $ is maximum are

Options:

Answer:

Solution:

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