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Question

The equation of the line parallel to 3x2y+7=0 and making an intercept 4 on X-axis is

A
3x2y+12=0
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B
3x2y12=0
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C
3x+2y12=0
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D
3x+2y12=0
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Solution

The correct options are
C 3x2y+12=0
D 3x+2y12=0
The equation of the line parallel 3x2y+7=0 is 3x2y+c=0 ...........(i) when c is a constant.
Now this line makes an intercept 4 on X-axis.
the point of intersection with X-axis is (4,0)
So, line (i) passes through (4,0).
We substitute x=4 and y=0 in equation (i) to get
3×(4)2×0+c=0
c=12
Substituting c=12 in equation (i), we have the required equation of the line as 3x2y+12=0.

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