JEE Main 2019MathematicsStraight LinesEasyMCQ

JEE Main 2019 — Straight Lines Question with Solution

JEE Main 2019 (12 Jan Shift 2)

Question

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 :

Choose an option

Show full solutionCorrect option: B
Correct answer
B4x-3y+24=0

Step-by-step explanation

Let the line passing through -3, 4 intersect the coordinate axes at A & B.

By mid-point formula, co-ordinates of Pα+02, 0+β2.

Comparing with given co-ordinate values, we get

α+02=-3⇒α=-6

and β+ 02=4⇒β=8

Hence, equation of line is x-6+y8=1

⇒4x-3y+24=0

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About this question

This is a previous-year question from JEE Main 2019, covering the Straight Lines chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.