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Graph of a^x a>1

If ai be the ...

Question

If $a_{i}$ be the values of $a$ for which the equation $a x^{2} - 8 x + a = 0$ has only one real solution, then the value of $n \prod i = 1 a_{i}$ (where $\prod$ stands for product) is

16

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Solution

The correct option is D $0$
If $a \neq 0,$ for one solution,
$D = 0 \Rightarrow 64 - 4 a^{2} = 0 \Rightarrow a = \pm 4$

If $a = 0$ , then also, the equation has only one solution i.e., $x = 0$
$∴ n \prod i = 1 a_{i} = 4 \times (- 4) \times 0 = 0$

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