Complex Numbers And Quadratic Equations question 793

Question: The value of k for which the equation $ (k-2)x^{2}+8x+k+4=0 $ has both real, distinct and negative is[Orissa JEE 2002]

Options:

A) 0

B) 2

C) 3

D) - 4

Show Answer

Answer:

Correct Answer: C

Solution:

From options put $ k=3\Rightarrow x^{2}+8x+7=0 $
Þ $ (x+1)(x+7)=0 $
$ \Rightarrow x=-1,-7 $ means for k = 3 roots are negative.