If the zeroes of the quadratic polynomial $a x^{2} + b x + c, c > 0$ are equal, then

c and a have opposite signs

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c and b have opposite signs

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c and a have the same sign

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c and b have the same sign

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Solution

The correct option is C c and a have the same sign
If zeroes are equal then the product of the zeroes must be positive.
Product = $\frac{c}{a}$ , for the product to be positive sign of $a$ and $c$ must be the same.

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