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.

• A. $x - 3 y + 4 = 0$
• B. $2 x - y + 3 = 0$
• C. $y + 3 x - 8 = 0$
• D. $x + 2 y - 1 = 0$

Answer 1

Answer: (C)

$y + 3 x - 8 = 0$

Answer 2

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