JEE Main 2021MathematicsStraight LinesEasyMCQ

JEE Main 2021 — Straight Lines Question with Solution

JEE Main 2021 (18 Mar Shift 1)

Question

The number of integral values of m so that the abscissa of point of intersection of lines 3x+4y=9 and y=mx+1 is also an integer, is:

Choose an option

Show full solutionCorrect option: B
Correct answer
B2

Step-by-step explanation

3x+4y=9

y=mx+1

⇒3x+4mx+4=9

⇒(3+4m)x=5

⇒x will be an integer when

3+4m=5, -5, 1,-1

⇒m=12,-2,-12,-1

so, number of integral values of m is 2

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About this question

This is a previous-year question from JEE Main 2021, 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.