JEE Main 2019MathematicsHeights and DistancesEasyMCQ

JEE Main 2019 — Heights and Distances Question with Solution

JEE Main 2019 (08 Apr Shift 2)

Question

Two vertical poles of height, 20 m and 80 m stand apart on a horizontal plane. The height (in meters) of the point of intersection of the lines joining the top of each pole to the foot of the other, from this horizontal plane is:

Choose an option

Show full solutionCorrect option: A
Correct answer
A16

Step-by-step explanation

Equation of line OQ y=80ax

Equation of line AB xa+y20=1

Solving for Px0,y0,ay0/80a+y020=1

⇒y0180+120=1⇒y0=16

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About this question

This is a previous-year question from JEE Main 2019, covering the Heights and Distances 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.