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A point on the parabola y^2=18x at which...

A point on the parabola `y^2=18x` at which the ordinate increases at twice the rate of the abscissa is

A

(2, 4)

B

`(9//8,9//2)`

C

`(-9//8,9//2)`

D

(2, -4)

Text Solution

Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1C (RATE OF CHANGE)
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  2. The point on the parabola y^2=4x for which the abscissa and ordinate c...

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  3. A point on the parabola y^2=18x at which the ordinate increases at twi...

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  4. A particle moves along the curve y=x^2+2x. Then the point on the curve...

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  5. The point on the circle x^2+y^2=2 at which the abscissa and ordinate i...

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  6. At what value of an angle the rates of change in sine and tangent of t...

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  7. A point is moving on y=4-2x^2. The x-coordinates of the point is decer...

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  8. If the rate of change in the radius of a circle is 0.02 cm/sec, then t...

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  9. The radius of a circular plate is increasing at the rate of 0.01 cm/se...

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

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

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

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

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

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

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

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  17. The side of a square increases at therate of 1 cm per second. The rate...

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

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

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  20. Two parallel sides of a rectangle are being lengthened at the rate of ...

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