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Q.

The number of integral 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

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a

2

b

1

c

0

d

3

answer is C.

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Detailed Solution

 By elementing y from 3x+4y=9,y=mx+1, we get x=53+4m . For integral value of x3+4m=±1,±5⇒m=−12,−1,12,−2

Number of integer values of m is 2

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