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If '$\alpha$' and '$\beta$' are the zeroes of the polynomial $ax^2 - 5x + c$ and $\alpha + \beta = \alpha\beta = 10$, then :
- (a)$a = 5, c = -\frac{1}{2}$
- (b)$a = 1, c = \frac{5}{2}$
- (c)$a = \frac{5}{2}, c = 1$
- (d)$a = \frac{1}{2}, c = 5$
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(d) $a = \frac{1}{2}, c = 5$