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The minimum distance from the origin to ...

The minimum distance from the origin to a point on the curve `x^(2//3) +y^(2//3)=a^(2//3) (a gt 0 )` is

A

a

B

a/2

C

`a//sqrt8`

D

`a^(2//3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
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  2. The point on the curve x^2=2y which is closest to the point (0,5) is

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  3. The minimum distance from the origin to a point on the curve x^(2//3) ...

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  4. The shortest distance from (-6,0) to x^2-y^2+16=0 is

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  5. The points on y=x^2+7x+2 which is closest to the line y=3x-3 is

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  6. The point on the curve y=x^2+4x+3 which is closest to the line y=3x+2 ...

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  7. The shortest distance between the line y-x =1 and the curve x=y^2 is

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  8. The longest distance of the point (a,0) from the curve 2x^2+y^2=2x is

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  9. Point P is (-2,-3) and point Q is (3,7) . The point A on the axis for ...

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