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  4. 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 :

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Q. 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 :

JEE MainJEE Main 2019Straight Lines

Solution:

Let the line be $\frac{x}{a} \, + \frac{y}{b} \, = 1$
$(-3, 4) \, = \bigg(\frac{a}{2}, \frac{b}{2}\bigg)$
a = -6, b = 8
equation of line is 4x - 3y + 24 = 0

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