Complex Numbers And Quadratic Equations question 785

Question: The value of $ k $ for which the quadratic equation, $ kx^{2}+1= $ $ kx+3x-11x^{2} $ has real and equal roots are [BIT Ranchi 1993]

Options:

A) $ -11,-3 $

B) $ 5,7 $

C) $ 5,-7 $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

The quadratic is $ (k+11)x^{2}-(k+3)x+1=0 $ Accordingly, $ {{(k+3)}^{2}}-4(k+11)(1)=0 $ Þ $ k=-7,5 $ .