JEE Main 2017MathematicsStraight LinesMediumMCQ

JEE Main 2017 — Straight Lines Question with Solution

JEE Main 2017 (09 Apr Online)

Question

A square, of each side 2, lies above the x-axis and has one vertex at the origin. If one of the sides passing through the origin makes an angle 30° with the positive direction of the x-axis , then the sum of the x-coordinates of the vertices of the square is:

Choose an option

Show full solutionCorrect option: A
Correct answer
A23-2

Step-by-step explanation

For A,

xcos30°=ysin30°=2

⇒x=232= 3 and y=1

For C,

xcos120°=ysin120°=2

x=-1, y=3

For B,

xcos75°=ysin75°=22

x= 3-1, y=3+1

Sum of the x-coordinates =0+3+3-1+-1

=23-2

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About this question

This is a previous-year question from JEE Main 2017, 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.