Coordinate Geometry Question 159

Question: The orthocentre of triangle formed by lines $ 4x-7y+10=0, $

$ x+y=5 $ and $ 7x+4y=15 $ is

[IIT 1969, 76]

Options:

A) (1, 2)

B) (1, -2)

C) (-1, -2)

D) (-1, 2)

Show Answer

Answer:

Correct Answer: A

Solution:

Orthocentre of right angled triangle is same as the vertex of right angle. Therefore, point of intersection of $ 7x+4y-15=0 $ and $ 4x-7y+10=0 $ is (1, 2).