Question

The value of $(\lambda ,\mu )$ for which $(\lambda -2)(\mu -2)x^2-3x+7=0$ will have infinity as a root is

• A. $(0,0)$
• B. $(2,2)$
• C. $(1,1)$
• D. $(2,0)$

Answer 1

Answer: (B), (D)

The correct options are
B $(2,0)$
D $(2,2)$

The above equation will have infinity as a root if the coefficient of $x^2$ is 0.
Or
$\lambda -2=0$
Or
$\lambda =2$ and
$\mu -2=0$
or
$\mu =2$.
Hence possible answers of $(\lambda ,\mu )$
$=(2,2),(0,2)(2,0).$