Multiple Choice Questions on If 8x2 y2 minus 12x minus 4xy 9 0 then the value of 14x minus 5y is ........ for SSC CHSL Preparation

Algebra

Quantitative Aptitude (CHSL)

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    If 8x2+y2−12x−4xy+9=0, then the value of (14x−5y) is:

    9

    Incorrect Answer

    3

    Incorrect Answer

    5

    Incorrect Answer

    6

    Correct Answer
    Explanation:

    8x² + y² - 12x - 4xy +9 = 0

    4x² - 12x +9 +4x² - 4xy + y² = 0
    (2x-3)² + (2x-y)²= 0
    2x - 3 = 0 
    x = 3/2
    2x-y = 0
    y - 2x = 2 x 3/2 = 3
    14x - 5y = 14 x 3/2 - 5 x 3
    = 21 - 15 = 6

    Hence option 3 is the correct answer.


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