{(243 + 647)² + (243 – 647)²}/(243 x 243 + 647 x 647) is equal to :

The value of the expression
{(243 + 647)² + (243 – 647)²}/(243 x 243 + 647 x 647) is equal to
(a) 0
(b) 1
(c) 2
(d) 3

Anurag Mishra Professor Asked on 20th February 2016 in Maths.
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  • 1 Answer(s)

    Answer: (c) 2

    Solution:-
    {(243 + 647)² + (243 – 647)²}/(243 x 243 + 647 x 647)
    = (243² + 647² + 2 x 243 x 647 + 243² + 647² – 2 x 243 x 647)/(243² + 647²)
    = ( 243² + 647² + 243² + 647²)/(243² + 647²)
    = (2 x 243² + 2 x 647²)/(243² + 647²)
    = 2 (243² + 647²)/(243² + 647²)
    = 2

    Then, the value of {(243 + 647)² + (243 – 647)²}/(243 x 243 + 647 x 647) is 2.

    Hence, the correct answer is option (c) 2.

    Anurag Mishra Professor Answered on 20th February 2016.
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