If p and q are the roots of the equation $a^{2} + 2 a - 3 = 0$ , which of these could be the quadratic equation in ‘a’ whose roots are (p + q) and (p - q).

a^{2} - 2 a + 8 = 0

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a^{2} + 2 a - 8 = 0

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a^{2} + 2 a + 8 = 0

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a^{2} - 2 a - 8 = 0

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Solution

The correct option is D $a^{2} - 2 a - 8 = 0$

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