# If one of the zeroes of 2x2-3x+k is reciprocal to the other,then the value of 'k' is?

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by lovely2000

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by lovely2000

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The product of the roots of a quadratic equation ax²+bx+c=0 is .

If the roots are reciprocal of each other (say m and ) their product will be 1. So

If the roots are reciprocal of each other (say m and ) their product will be 1. So

Given roots are p,1/p

product of roots=c/a

⇒px1/p=1=k/2

⇒k/2=1

⇒k=2

product of roots=c/a

⇒px1/p=1=k/2

⇒k/2=1

⇒k=2