A rectangle is formed by the lines x = 0, y = 0, x = 3 and y = 4.… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 23 January, Shift 1Straight Line Equations

A rectangle is formed by the lines $x = 0$ , $y = 0$ , $x = 3$ and $y = 4$ . Let the line $L$ be perpendicular to $3x + y + 6 = 0$ and divide the area of the rectangle into two equal parts. Then the distance of the point $\left(\frac{1}{2}, -5\right)$ from the line $L$ is equal to :

A
$2\sqrt{5}$
B
$2\sqrt{10}$
C
$3\sqrt{10}$
D
$\sqrt{10}$

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