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Q.

Assertion (A ) : The roots of the equation ab-cx2+bc-ax+ca-b=0 are 1,ca-bab-c

Reason (R ) : If a+b+c=0  then the roots of x2+bx+c=0 are 1,ca

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a

Both A, R are true and R explain Assertion

b

Both A, R are true but R does’t explain A

c

A is true R is false     

d

A is false R is true

answer is A.

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Detailed Solution

Assertion (A ) : Given Equationab-cx2+bc-ax+ca-b=0

Here sum of co.eff is zero

             Clearly ‘1’ is a root

            Let another root is β

            Then by using product of roots β=ca-bab-c

(A ) is true

            Reason ( R)_: is True

            Both A and R are True and R explain Assertion.

            ANS: ( 1 )

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Assertion (A ) : The roots of the equation ab-cx2+bc-ax+ca-b=0 are 1,ca-bab-cReason (R ) : If a+b+c=0  then the roots of x2+bx+c=0 are 1,ca