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Q.

The quadratic equation for which the sum of the roots is 7 and  the sum of the squares of the roots is 25 is 

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a

x2-12x+35=0

b

x2-7x+12=0

c

5x2+2x+11=0

d

x2+5x+6=0

answer is A.

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Detailed Solution

 α+β=7,   α2+β2=25 (α+β)2-2αβ=25 49-2αβ=25 2αβ=24 αβ=12  Required equation: x2-7x+12=0

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