Question

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

Answer 1

The product of the roots of a quadratic equation ax²+bx+c=0 is $\frac{c}{a}$.
If the roots are reciprocal of each other (say m and $\frac{1}{m}$) their product will be 1. So 
$\frac{c}{a}=1 \\ \frac{k}{2} = 1 \\ k=2$

Answer 2

given roots are p,1/p
product of roots=c/a
⇒px1/p=1=k/2
⇒k/2=1
⇒k=2