Question

If the zeroes of the quadratic polynomial$ax^{2} +bx +c$ , c ≠ 0are equal, then

(A) c and a have opposite signs
(B) c and b have opposite signs
(C) c and a have the same sign
(D) c and b have the same sign


pls give explanation as well

Answer 1

Answer:

THE Answer should be option (C)

Answer 2

Answer:

(C) c and a have same sign

explanation:

Let the root be x, The roots are equal Which by means another root is also x,

Generally product of roots = c/a in a quadratic equation,

But if two roots are same , then products of roots is x²,

x² is always positive, as square of any integer is +ve,

Now we can say that, x² = c/a,

=> c/a is also always positive, by this we can say that If two roots are same, Then c and a have same sign.

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