1.

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 = β

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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