Question

The quadratic equation whose roots are reciprocal of the roots of the equation `ax^2 +bx+c=0` is-
A. `cx^(2)+bx+a=0`
B. `bx^(2)+cx+a=0`
C. `cx^(2)+ax+b=0`
D. `bx^(2)+ax+c=0`

Answer 1

Correct Answer - A
The quadratic equation whose roots are reciprocal of the roots of the equation `ax^(2) + bx + c = 0` is obtained by replacing x by 1/x. Thus, the required equation is
`(a)/(x^(2))+(b)/(x)+c = 0 or, cx^(2) + bx + a = 0`.