If one root of x2 − px + 12 = 0 is 4, while the equation x2 − px + q = 0 has equal roots, then the value of q is
Explanation:
If one root of x2 + px + 12 = 0 is 4, then 42 + 4p + 12 = 0, i.e. p = –7.
x2 – px + q = 0 has equal roots.
If the roots are α each, 2α = - (-7)1 = 7, i.e., α = 72, and q = α2
⇒q=494
Hence, option (a).
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