Straight Line and Pair of Straight Lines 1 Question 27

27. The number of integer values of m, for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=mx+1 is also an integer, is (2001,1M)

(a) 2

(b) 0

(c) 4

(d) 1

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Solution:

  1. On solving equations 3x+4y=9 and y=mx+1, we get

x=53+4m

Now, for x to be an integer,

3+4m=±5 or ±1

The integral values of m satisfying these conditions are -2 and -1 .



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