The value of a for which the sum of the squares of the roots of the equation\[{{x}^{2}}-(a-2)x-a-1=0\]assume the least value is
AIEEE Solved Paper-2005
A)2
B) 3
C) 0
D) 1
Correct Answer:
D
Solution :
Letandbe the roots of equation then and Now, The value ofwill be least, if Alternate Solution Since,and For maxima or minima, put Now, is minimum at