Question

If one root of the quadratic equation
$ax {}^{2} + bx + c = 0$
is the reciprocal of the other, then

(a) b =c
(b) a = b

(c) ac = 1
(d) a =c​

Answer 1

Answer:

let roots be m,n

then n=1/m

product of roots=c/a

mn=c/a

m x 1/m=c/a

1=c/a

c=a

hence d is correct