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From any point P(x, y) of the curve y= ...

From any point P(x, y) of the curve ` y= x^(m) ( m gt 0 , x gt 0)` perpendiculars PN and PM are dropped on the coordinate axes. Then the ratio of the area OMPO and the area of the rectangle ONPM (O represents the origin ) is-

A

`(1)/( m+1)`

B

`(1)/(2( m+1))`

C

`(2)/( m+1)`

D

`(1)/(3( m+1))`

Text Solution

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The correct Answer is:
A
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