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Q.

If the sum of the roots of a quadratic equation is 6 and their product is 6, the equation is

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a

x^{2} - 6 x - 6 = 0

b

x^{2} + 6 x + 6 = 0

c

x^{2} + 6 x - 6 = 0

d

x^{2} - 6 x + 6 = 0

answer is A.

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Detailed Solution

detailed_solution_thumbnail

Given that the sum of roots = 6 and product of roots = 6.
We know that, if

α and β

are the roots of the quadratic equation then quadratic equation is given by,

x^{2} - (α + β) x + αβ = 0

.
Therefore, required quadratic equations is,

x^{2} - 6 x + 6 = 0

.
Hence, the correct option is 1.

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