A(-1, 1) , B(5, 3) are opposite vertices of a square in xy -plane. equation of other diagonal (not p

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9.Straight Line

medium

$A(-1, 1)$, $B(5, 3)$ 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

$x - 3y + 4 = 0$

$2x - y + 3 = 0$

$y + 3x - 8 = 0$

$x + 2y - 1 = 0$

Solution

(c) 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 $3x + y – 8 = 0$.

Standard 11

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