If a+b+c=0, then the roots of the equation c2−abx2−2a2−bcx+b2−ac=0 are

see full answer

Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*

An Intiative by Sri Chaitanya

real and equal

imaginary

real and unequal

None of these

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

D=4a2−bc2−b2−acc2−ab=4a4+b2c2−2a2bc−b2c2−ac3−ab3+a2bc=4aa3+b3+c3−3abcD=4a(a+b+c)a2+b2+b2−ab−bc−ac=0 [ as a+b+c=0]Hence roots are real and distinct.

Watch 3-min video & get full concept clarity