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The minimum vertical distance between th...

The minimum vertical distance between the graphs of `y=2+s in xa n dy=cosx` is 2 (b) 1 (c) `sqrt(2)` (d) `2-sqrt(2)`

A

2

B

1

C

`sqrt(2)`

D

`2-sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`"min"(2+sin x -cos x)="min"[2+sqrt(2)sin(x-(pi)/(4))]=2-sqrt(2)`
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