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Question

If (ab)=6 and a2+b2=30, then the value of ab is equal to ____.


A

-2

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B

-3

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C

-6

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D

-1

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Solution

The correct option is B

-3


(ab)=6

Squaring on both sides we get,

(ab)2=62

a2+b22ab=36

302ab=36 (as a2+b2=30)

2ab=6

ab=3


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