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Question

Coincident lines have infinite solutions. Which among the following pairs of lines are coincident?

A
xy=1 ; x+y=1
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B
3x=5+2y ; y=4x+1
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C
x=1152y5;y=1125x2
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D
xy=2 ; x+y=2
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Solution

The correct option is C x=1152y5;y=1125x2
After converting the given pairs of equations to the general form
a1x+b1y+c1=0 and a2x+b2y+c2=0,
it can be found that only for the pair x=1152y5 ; y=1125x2,a1a2=b1b2=c1c2, which is the condition for coincident lines with infinite solutions.

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