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JEE Main 202118 MarchMorning Shift
Exam
JEE Main
Year
2021
Date
18 March
Shift
Morning Shift
Subject
Mathematics
Chapter
Straight Lines

JEE Main 2021 · 18 March · Morning Shift · Mathematics · Straight Lines

The number of integral values of m so that the abscissa of point of...

The number of integral values of mm so that the abscissa of point of intersection of lines 3x+4y=93x + 4y = 9 and y=mx+1y = mx + 1 is also an integer, is:

Options

  1. A11
  2. B22
  3. C33
  4. D00

Correct answer

B. 22

Step-by-step solution

3x+4y=93x + 4y = 9

y=mx+1y = mx + 1

⇒3x+4mx+4=9⇒ 3x + 4mx + 4 = 9

⇒(3+4m)x=5⇒ ( 3 + 4m ) x = 5

⇒x⇒ x will be an integer when

3+4m=5,−5,1,−13 + 4m = 5, - 5, 1, - 1

⇒m=12,−2,−12,−1⇒ m = \dfrac{1}{2}, - 2, - \dfrac{1}{2}, - 1

so, number of integral values of mm is 22

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