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    Question

    If p + q = 7 and p2┬а+ q2┬а= 19,

    then find the value of┬а pq/2.
    A 7.5 Correct Answer Incorrect Answer
    B 3.6 Correct Answer Incorrect Answer
    C 10 Correct Answer Incorrect Answer
    D 12 Correct Answer Incorrect Answer

    Solution

    We have given, p + q = 7 and p2┬а+ q2┬а= 19 So, (p + q) = 7 Or, p2┬а+ q2┬а+ 2pq = 72┬а[Since we know that, (a + b)2┬а= a2┬а+ b2┬а+ 2ab] Or, 19 + 2pq = 49 Or, 2pq = 49 - 19 Or, 2pq = 30 Or, pq = 15 Now, pq/2 = 15/2 = 7.5

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