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The side of a cube is equal to the radiu...

The side of a cube is equal to the radius of a shpere. If the side and the radius increase at the same rate, then the relation between the rates of change of surface areas of the cube and sphere respectively is

A

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B

`gt`

C

`=`

D

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A
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AAKASH SERIES-RATE MEASUREMENT-PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)
  1. The side of a cube is equal to the radius of a shpere. If the side and...

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  2. If a particle moves alonga straight line by S = 4t^(2) - 8t + 3 and th...

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  3. The rate of change of sin t is n, then the rate of change of tan t is

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  4. A particle moves along a straight line according to the equation s = 8...

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  5. An angle theta through which a pulley turns with time 't' is completed...

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  6. A particle moves along a line by s = (t^(3))/(3) - 3t^(2) + 8t then th...

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  7. A particle 'p' moves along a straight line away from a point 'O' obeyi...

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  8. If the rate of change of sine and tangent of the same angle are equal ...

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  9. If the displacement in time t of a particle is given by s = ae^(t) + b...

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  10. If the distance S travelled by a particle in time t is given by s = t^...

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  11. The displacement of a particle in time 't' is given by S = t^(3) - t^(...

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  12. A particle moves in a straight line according to the law v^(2) = 4a (x...

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  13. The distance moved by the particle in time 't' is given by S = t^(2) -...

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  14. A particle moves along the X-axis with velocity v = (dx)/(dt)=f(x) the...

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  15. If the distance travelled by a particle is x = sqrt(pt^(2) + 2qt + r...

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  16. If a particle moves along a line by S = sqrt(1 + t) then its accelerat...

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  17. A particle moves on a line according to the law s = at^(2) + bt + c. I...

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  18. A particle velocity v at time is given by v = 2e^(2t) cos(pi t)/(3). T...

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

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  20. A variable triangle ABC is inscribed in a circle of diameter x units. ...

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  21. An aeroplane is flying horizontally at an altitude of 3000 ft directly...

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