JEE Main 2014MathematicsStraight LinesMediumMCQ

JEE Main 2014 — Straight Lines Question with Solution

JEE Main 2014 (06 Apr)

Question

Let a, b, c and d be non-zero numbers. If the point of intersection of the lines 4ax+2ay+c=0 & 5bx+2by+d=0 lies in the fourth quadrant and is equidistant from the two axes then 

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Correct answer
A3bc-2ad=0

Step-by-step explanation

Let (h,k) be the intersection of the two given lines its equidistant from both axes.

∴ h=k

Since it lies in the fourth quadrant, the point can be written as (h,-h), where h>0.

(h,-h) lies on both the lines.

∴ 4ah-2ah+c=0

∴ c=-2ah   ∴ h=-c2a

5bh-2bh+d=0

∴ d=-3bh   ∴ h=-d3b

∴ -c2a=-d3b

∴ 3bc-2ad=0

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About this question

This is a previous-year question from JEE Main 2014, 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.