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The number of quadratic equations having real roots and which do not change by squaring their roots is A. 4 B. 3 C. 2 D. 1 |
Answer» The roots of the equation are real (given) Let α and β be the two roots according to the given condition α = α2 β = β2 Sum of the roots = α + β = α2 + β2 Product of the roots = α β = α2 β2 There are only two number who does not change on squaring them that is 0 and 1 So the number of equations could be 2 by being the roots as (0,1) and (1,0) |
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