Question

If the zeroes of the quadratic polynomial ax2+bx+c, c≠0 are equal, then
(a) c and b have opposite signs
(b) c and a have opposite signs
(c) c and b have same signs
(d) c and a have same signs​

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Answer 1

If zeroes are equal then discriminant=0
Then b^2 = 4ac
now b^2 is positive, thus, ac will also be positive
ac can only be positive if a and c have same sign [ a and c cant be 0 either as given]
So d is correct