The product of the roots of equation $2 m^{2} - 8 m = 0$ is

4

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2

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0

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- 8

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Solution

The correct option is D $0$
Given equation is $2 m^{2} - 8 m = 0$
$⟹$ $m^{2} - 4 m = 0$
$⟹$ $m^{2} - 4 m + 4 - 4 = 0$
$⟹$ $(m - 2)^{2} - 2^{2} = 0$
$⟹$ $((m - 2) + 2) ((m - 2) - 2) = 0$
$⟹$ $m (m - 4) = 0$
$⟹$ $m = 4 o r m = 0$
$∴$ product of $0$ and $4 = 0 \times 4 = 0$
Hence, option C is correct.

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