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Question

For a pair of linear equations:
a1x+b1y=c1 and a2x+b2y=c2

If a1a2 = b1b2 = c1c2, then the lines are .

A
parallel
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B
intersecting
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C
coincident
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D
always parallel to x-axis.
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Solution

The correct option is C coincident
Since, the ratio of the coefficients of x = the ratio of the coefficients of y = the ratio of the constant terms, hence, both the lines are same.
Hence, the lines are coincident.

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