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Question

If p and q are positive and p2q2 = 18 – 3pq, then p2 =

A
(18-3q) / q3
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B
18/q2
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C
18/q2+3q
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D
9/q2
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E
36/q2
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Solution

The correct option is D 9/q2

Subsitute q=1, the equation reduces to p2 +18 – 3p = 0. Solving this, we get p=-6 & p=3. Hence, p2= 9 (As p is positive)

Substitute the value of q=1 in answer options to see where qou get p2= 9. Answer is option (d)


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