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    • Question : If p + q = 7 and p2 + q2 = 25, then find the value of pq. Option 1: 24 Option 2: 12 Option 3: 18 Option 4: 36
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    Question : If p + q = 7 and p2 + q2 = 25, then find the value of pq.

    Option 1: 24

    Option 2: 12

    Option 3: 18

    Option 4: 36

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    Team Careers360 7th Jan, 2024
    Answer
    Answer (1)
    Team Careers360 23rd Jan, 2024

    Correct Answer: 12


    Solution : Given, p + q = 7
    Squaring both sides,
    p 2 + q 2 + 2pq = 49
    ⇒ 25 + 2pq = 49
    ⇒ 2pq = 24
    ⇒ pq = 12
    Hence, the correct answer is 12.

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