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a
(−1, 1)
b
[ 1, ∞)
c
( − ∞, −1]
d
( − ∞, ∞)
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Correct option is A
y=x1+x2 dydx=1+x2-2x21+x22=1-x21+x22 for decreasing 1-x2<0⇒x∈(-1,-1)
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lf is a monotonically decreasing function of x in the largest possible interval (-2, -2/3). Then
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