Straight LineHard

Question

The number of integer values of m, for which the x-coordinate of the poinr of interseection of the lines 3x + 4 y = 9 and y = mx + 1 is also an intrger, is

Options

A.2
B.0
C.4
D.1

Solution

On solving equations 3x + 4y = 9 and y = mx + 1, we get
       
Now, for x to be an integer,
      3+ 4m = 5 or 1
The integral values of m satisfying these consitions are -2 and -1
Therefore, (a) is answer.

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