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
Both Assertion and Reason are incorrect
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Solution
The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
According to statement 1, given equation is
x2−bx+c=0
Let α,β be two roots such that
|α−β|=1
⇒(α+β)2−4αβ=1
⇒b2−4c=1
According to statement 2, given equation is 4abcx2+(b2−4ac)x−b=0.