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. 8p2 + (40+β2)p + 5β2 = 0 II. 9q2 - (27+13β2)q + 39β2 = 0Solution
ATQ, I. 8p2 + (40+β2)p + 5β2 = 0 8p2 + 40p + β2p + 5β2 = 0 8p (p + 5) + β2 (p + 5) = 0 p = -5, -β2/8 II. 9q2 - (27+13β2)q + 39β2 = 0 9q2 β 27q - 13β2q + 39β2 = 0 9q (q- 3) - 13β2 (q - 3) = 0 q = 3, 13β2/9 Hence, p < q
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