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Question

A line passing through the point of intersection of 2x+y=5 and x+3y+8=0 and parallel to the line 3x+4y=7

A
3x+4y+3=0
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B
3x+4y=0
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C
4x3y+3=0
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D
4x3y=0
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Solution

The correct option is A 3x+4y+3=0
Let us find out point os intersetion of 2x+y=5
2+3y+8=0
6y16+y=5
5y=21
y=215x=dfrac235
Now equation of fire with slope 34 passing through
(235,215) is
y+215=34(x235)
4y+845=3x+695
3x+4y+3=0
A is correct.





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