Straight Line Question 372

Question: A(-1, 1), B(5, 3) are opposite vertices of a square in xy-plane. The equation of the other diagonal (not passing through (A, B) of the square is given by [EAMCET 1993]

Options:

A) $ x-3y+4=0 $

B) $ 2x-y+3=0 $

C) $ y+3x-8=0 $

D) $ x+2y-1=0 $

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Answer:

Correct Answer: C

Solution:

  • The required diagonal passes through the mid-point of $ AB $ and is perpendicular to $ AB $ . So its equation is $ y-2=-3(x-2) $ or $ 3x+y-8=0 $ .