Comparing the Ratios of Coefficients of a Linear Equation
Assertion :If...
Question
Assertion :If the pair of lines are coincident, then we say that pair is consistent and it has a unique solution. Reason: If the pair of lines are parallel, then the pair has no solution and is called inconsistent pair of equations.
A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Assertion is incorrect but Reason is correct
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Solution
The correct option is D Assertion is incorrect but Reason is correct If the pair of lines are coincident, then it has an infinite number of solutions. Thus, the assertion is false. If the given pair of lines are parallel, then the pair of equations is inconsistent and it has no solution. Thus, the reason is correct. Hence, option D is correct.