MHT-CET

08. Straight Lines question bank (Mathematics)

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Q1.

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

(A)
$2$
(B)
$0$
(C)
$4$
(D)
$1$
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Q2.

$A$ straight line through the origin $O(0, 0)$ meets the lines $4x + 3y - 10 = 0$ and $8x + 6y + 5 = 0$ at points $A$ and $B$ respectively. Then $O$ divides the segment $AB$ in the ratio:

(A)
$4: 1$
(B)
$2: 3$
(C)
$1: 5$
(D)
$1: 3$
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