Straight Line Question 105

Question: Two points A and B have coordinates (1, 1) and (3, -2) respectively. The co-ordinates of a point distant $ \sqrt{85} $ from B on the line through B perpendicular to AB are [AMU 2000]

Options:

A) (4, 7)

B) (7, 4)

C) (5, 7)

D) (-5, -3)

Show Answer

Answer:

Correct Answer: C

Solution:

  • Trick: From option (c), $ BP=\sqrt{{{(5-3)}^{2}}+{{(7+2)}^{2}}} $ $ =\sqrt{4+81}=\sqrt{85} $ Hence option (c) is correct.