Question

If the zeroes of the quadratic polynomial ax2+bx+c , where a is not equal to 0 and c is not equal to 0 , are equal
and non-zero, then
A. c and a have the same sign
B. c and a have opposite signs
C. c and b have the same sign
D. c and b have opposite signs

Answer 1

Answer:

Correct option is

C

c and a have the same sign

Given that the zeros of the quadratic polynomial ax

2

+bx+c,c



=0 are equal.

=> Value of the discriminant(D) has to be zero.

=>b

2

−4ac=0

=>b

2

=4ac

Since. L.H.S b

2

cannot be negative, thus, R.H.S. can also be never negative.

Therefore, a and c must be of the same sign.