Question

If x varies 1 ÷ y, the value of x + y is the smallest, when x = ________.
Ans. y.
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Answer 1

ATQ:

x = 1/y

When we put the value of x in the EQ

1/y+y

1+y²/y = 0

1+y² = 0

y = √1

y = 1--------------------------(2)

∴ Value of x=1/1

x = 1-------------------(1)

From 1 and 2

x = y-----------------------------(3)

∴ Value of x+y is the smallest when x=y (From 3)