The number of integral values of m so that the abscissa of point of intersection of lines 3 x + 4 y = 9 and…

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:
  1. 1
  2. 2
  3. 3
  4. 0

Solution

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

Asked in: JEE Main 2021 (18 Mar Shift 1)

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