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The maximum distance of a point on the g...

The maximum distance of a point on the graph of the function `y = sqrt 3 sin x + cos x` from X-axis is

Text Solution

Verified by Experts

Given that, `y = sqrt(3)sinx+cosx`
`" "y=2[(sqrt(3))/(2)sinx+(1)/(2)cosx]`
`" "=2[sinx*cos""(pi)/(6)+cosxsin""(pi)/(6)]`
`" "=2sin(x+pi//6)`
Graph of y = `2sinx`

Hence, the maximum distance is 2 units.
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