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The points on the curve 12y = x^(3) whos...

The points on the curve `12y = x^(3)` whose ordinate and abscissa change at the same rate, are

A

`(-2, -2//3), (2, 2//3)`

B

`(-2//3, -2), (2//3, 2)`

C

`(-2, -2//3)` only

D

`(2//3, 2)` only

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-DERIVATIVE AS A RATE MEASURER -Exercise
  1. If the semivertical angle of a cone is 45^@. Then the rate of change o...

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  2. On the curve x^3=12 y , find the interval of values of x for which the...

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  3. If the rate of change of area of a square plate is equal to that of th...

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  4. A stone dropped into a quiet lake. If the waves moves in circles at th...

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  5. The side of a square is equal to the diameter of a circle. If the side...

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  6. A variable DeltaABC is inscribed in a circle of diameter x units. At a...

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  7. The radius and height of a cylinder are equal. If the radius of the sp...

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  8. The points on the curve 12y = x^(3) whose ordinate and abscissa change...

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  9. A particle moves along the parabola y^2=2ax in such a way that its pro...

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  10. The diameter of a circle is increasing at the rate of 1 cm/sec. When i...

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  11. A man 2 metres tall walks away from a lamp post 5 metres height at the...

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  12. At an instant the diagonal of a square is increasing at the rate of 0...

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  13. If s=ae^(t) + be^(-t) is the equation of motion of a particle, then it...

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  14. A circular metal plate is heated so that its radius increases at a rat...

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  15. The distances moved by a particle in time t seconds is given by s=t^(3...

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  16. If s=e^(t) (sin t - cos t) is the equation of motion of a moving parti...

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  17. A spherical balloon is being inflated so that ists volume increases un...

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  18. If a point is moving in a line so that its velocity at time t is propo...

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  19. The edge of a cube is equal to the radius o the sphere. If the rate at...

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  20. The side of an equilateral triangle is 'a' units and is increasing at ...

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