Straight LineMedium
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.

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