JEE Main 2015MathematicsStraight LinesMediumMCQ

JEE Main 2015 — Straight Lines Question with Solution

JEE Main 2015 (10 Apr Online)

Question

Let L be the line passing through the point P1,2 such that its intercepted segment between the co-ordinate axes is bisected at P. If L1 is the line perpendicular to L and passing through the point -2, 1, then the point of intersection of L and L1 is

Choose an option

Show full solutionCorrect option: B
Correct answer
B45,125

Step-by-step explanation

If P is the midpoint of the segment between the axes, them point  A2, 0 and B0, 4.

The equation of the line is, x2+y4=1

or, 2x+y=4   …1

The line perpendicular to it is of form, x-2y=k

Since it passes through (-2, 1),

 -2-2=k⇒k=-4

∴ Line is, x-2y=-4      …2 

Solving 1 and 2 we get 45,125.

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About this question

This is a previous-year question from JEE Main 2015, 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.