If a straight line passing through the point P(-3, 4) is… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 12 Jan · Shift II

If a straight line passing through the point

P(-3, 4)

is such that its intercepted portion between the coordinate axes is bisected at

P

, then its equation is

A.
$x - y + 7 = 0$
B.
$4x - 3y + 24 = 0$
C.
$3x - 4y + 25 = 0$
D.
$4x + 3y = 0$

Show answer and solution

Correct option: B

Solution

If the line has x-intercept (a, 0) and y-intercept (0, b), then P(-3, 4) is the midpoint, so a/2 = -3 and b/2 = 4, giving a = -6, b = 8. The line in intercept form: x/(-6) + y/8 = 1, multiply through by 24: -4x + 3y = 24, i.e., 4x - 3y + 24 = 0.

[JEE Main 2019 · 12 Jan · Shift II]

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