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The radius of a circular plate is increa...

The radius of a circular plate is increasing at the rate of 0.01 cm/sec when the radius is 12 cm. Then the rate at which the area increases is

A

`0.24pi` sq.cm/sec

B

`60pi` sq.cm/sec

C

`24pi` sq.cm/sec

D

`1.2pi` sq.cm/sec

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1C (RATE OF CHANGE)
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  3. The radius of a circular plate is increasing at the rate of 0.01 cm/se...

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  4. The radius of the circular disc increases at a uniform rate of 0.025 c...

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  5. If the rate of change in the radius of a circle is 0.5 sq.cm/sec, then...

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  6. If the rate of change in the area of a circle is pi sq.cm/sec, then th...

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  7. When a circular oil drop expands on water, its area increases at the u...

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  9. A stone is dropped into a quiet pond and waves move in circles outward...

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  10. If the rate of change of area of a circle is equal to tha rate of chan...

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  12. If the rate of change of the side of a square is 0.05 cm/sec, then the...

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  13. the side of a square is equal to the diameter of a circle. Ifthe side ...

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  15. A rectangular vessel is of 2 mt long, 0.5 mt breadth and 1 mt deep. If...

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  16. Each side of an equilateral triangle expands at the rate of 2 cm/sec. ...

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  17. The side of an equilateral triangle increases at the uniform rate of 0...

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  18. At a given instant the legs of a right angled triangle are 8 inch and ...

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