Straight Line And Pair Of Straight Lines Ques 21

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

2

0

4

1

Show Answer

Solution:

Formula:

Slope Formula:

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

$$ x=\frac{5}{3+4 m} $$

Now, for $x$ to be an integer,

$$ 3+4 m= \pm 7 \text { or } \pm 1 $$

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

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