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Question

# Assertion :If roots of the equation x2−bx+c=0 are two consecutive integers, then b2−4c=1 Reason: If a,b,c are odd integer then the roots of the equation 4abcx2+(b2−4ac)x−b=0 are real and distinct.

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 B Both Assertion and Reason are correct, but Reason is not the correct explanation for AssertionAssertion : Given equation x2−bx+c=0Let α,β be two roots such that |α−β|=1⇒(α+β)2−4αβ=1⇒b2−4c=1Reason : Given equation :4abcx2+(b2−4ac)x−b=0D=(b2−4ac)2+16ab2cD=(b2+4ac)2>0Hence roots are real and distinct.

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