Question

In each of these questions two equations numbered I and II are given. You have to solve both the equations and give answer, if –

I. 2p² - 11p + 12 = 0

II. 2q² - 17q + 36 = 0

A p=q or relationship between p and q can’t be established. Correct Answer Incorrect Answer
B p>q, Correct Answer Incorrect Answer
C p Correct Answer Incorrect Answer
D p≥q, Correct Answer Incorrect Answer
E p≤q Correct Answer Incorrect Answer

Solution

I. 2p² - 11p + 12 = 0 2p² - 8 p - 3p + 12 = 0 2p(2 p – 4) - 3 (p – 4) = 0 (2p – 3) (p – 4) = 0 p = 4 , 3/2 II. 2q² - 17q + 36 = 0 2q² - 8q - 9q + 36 = 0 2q(q - 4) - 9( q - 4) = 0 (2q - 9) (q - 4) = 0 q = 4 ,9/2 Hence p≤ q

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