Multiple Choice Questions

For what value of lsquo y rsquo x2 1 12x y2 is a perfect square ........

Mathematics (NDA) Algebra

For what value of ‘y’, x²+1/12x+y² is a perfect square?

1/6

1/12

1/24

1/48

x²+112x+y2=x²+2(124)x+y²
By, (a + b)² = a² + 2ab + b²
Here, a = x and b = y = 1/24
So, for x²+1/12x+y²to be perfect square y = 1/24

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