Question

Nature of roots of $\frac{x-2}{x-1}$=$\frac{x+4}{2x+2}$ is

• A. Two distinct real roots
• B. Two equal real roots
• C. No real roots
• D. None of these

Answer 1

The correct option is A

Two distinct real roots

$\frac{x-1}{x-1}$=$\frac{x+4}{2x+2}$ ,

$\Rightarrow$ $x^2$ + x=0

$\Rightarrow$ $D=b^2-4ac$

$\Rightarrow$$b^2-4ac$ $>$ 0

$\Rightarrow$ $1^2-4\times 1\times 0>0$

$\Rightarrow$ 1 $>$ 0

Since, D $>$ 0 roots are distinct and real