Let be a quadratic equation in

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

Let

(m+1)x^{2}-2(2m-3)x+(m-4)=0

be a quadratic equation in

x

, where

m

is a real parameter. (i) Find the condition on

m

for which the equation has real roots. (ii) Further, obtain the range of

m

for which the two real roots are of opposite signs. (iii) For the value(s) of

m

found in part (ii), calculate the product of the roots.