Question
In the question, two equations I and II are given. You
have to solve both the equations to establish the correct relation between 'p' and 'q' and choose the correct option. I. p2 β 20p + 96 = 0 II. q2 β 23q + 132 = 0Solution
ATQ, From I: p2 β 20p + 96 = 0 p2 β 12p β 8p + 96 = 0 p(p β 12) β 8(p β 12) = 0 (p β 12)(p β 8) = 0 p = 12, 8 From II: q2 β 23q + 132 = 0 q2 β 12q β 11q + 132 = 0 q(q β 12) β 11(q β 12) = 0 (q β 12)(q β 11) = 0 q = 12, 11 So, no relation can be established between p and q.
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