Comparing the Ratios of Coefficients of a Linear Equation
For a pair of...
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.