For quadratic equation ( k 2-3 k +2) x 2+4 x + k 2- k =0 sum of all values of k for which given equation has one root infinity.

Question

For quadratic equation ( k 2-3 k +2) x 2+4 x + k 2- k =0 sum of all values of k for which given equation has one root infinity. (A) 0 (B) 1 (C) 2 (D) 3

Tardigrade Admin · Accepted Answer

a =0, c ∈ R , b ≠ 0 text (Already given) ⇒ text Exactly one root infinity a =0 ⇒ k =1,2 operatornamesum=1+2=3

Q. For quadratic equation $(k^{2} - 3 k + 2) x^{2} + 4 x + k^{2} - k = 0$ sum of all values of $k$ for which given equation has one root infinity.

0

1

2

3

$a = 0, c \in R, b \neq = 0 (Already given)$
$\Rightarrow Exactly one root infinity$
$a = 0 \Rightarrow k = 1, 2$
$sum = 1 + 2 = 3$

Q. For quadratic equation (k2−3k+2)x2+4x+k2−k=0 sum of all values of k for which given equation has one root infinity.

0

1

2

3

a=0,c∈R,b=0 (Already given) ⇒ Exactly one root infinity a=0⇒k=1,2 sum=1+2=3

Q. For quadratic equation $(k^{2} - 3 k + 2) x^{2} + 4 x + k^{2} - k = 0$ sum of all values of $k$ for which given equation has one root infinity.

$a = 0, c \in R, b \neq = 0 (Already given)$
$\Rightarrow Exactly one root infinity$
$a = 0 \Rightarrow k = 1, 2$
$sum = 1 + 2 = 3$