The equation whose roots are the reciprocal of the roots of $2 x^{2} - 3 x - 5 = 0$ , is:

5 x^{2} + 3 x - 2 = 0

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2 x^{2} + 3 x - 5 = 0

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3 x^{2} - 3 x + 2 = 0

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2 x^{2} + 5 x - 3 = 0

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Solution

The correct option is B $5 x^{2} + 3 x - 2 = 0$
Given eq can be further solved as
$2 x^{2} - 3 x - 5 = 2 x^{2} + 2 x - 5 x - 5 = (x + 1) (2 x - 5) = 0$
Its roots are $- 1, \frac{5}{2}$
Therefore equation whose roots are reciprocal of given equation is:
$(x + 1) (x - \frac{2}{5}) = 0$
$\Rightarrow$ $5 x^{2} + 3 x - 2 = 0$
Hence, option A is correct.

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