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QJEEM21Ma5fd5: JEE Main 2021 Mathematics - Class 11 JEEM21Ma5fd5 Solution: The number of integral values of m so that the abscissa of…

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 :

Multiple Choice Options

  • A 1
  • B 2
  • C 3
  • D 0

Step-by-Step Verified Solution

3x + 4(mx + 1) = 9

⇒\Rightarrow x(3 + 4m) = 5

⇒\Rightarrow x=5(3+4m)x = {5 \over {(3 + 4m)}}

⇒\Rightarrow (3 + 4m) = ±\pm 1, ±\pm 5

⇒\Rightarrow 4m = −- 3 ±\pm 1, −- 3 ±\pm 5

⇒\Rightarrow 4m = −- 4, −- 2, −- 8, 2

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

∴\therefore Two integral value of m.

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