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The number of integer values of \mathrm{m}, for which the \mathrm{x}-coordinate of the point of intersection of the lines \mathrm{3 x+4 y=9} and \mathrm{y=m x+1} is also an integer, is

Option: 1

2


Option: 2

0


Option: 3

4


Option: 4

1


Answers (1)

best_answer

On findings x-coordinate of point of intersection

\mathrm{x}=\frac{5}{3+45} \text { this should be an integer }

\mathrm{\Rightarrow 3+4 m=1,-1,5,-5 }

\mathrm{\Rightarrow m=\frac{-1}{2},-1, \frac{1}{2},-2 }

Here two integer values of \mathrm{m } are possible for which \mathrm{x}-coordinate of intersectio \mathrm{n} is also integer.
Hence (A) is the correct answer.

Posted by

Ritika Jonwal

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