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The rate of change of surface area of a ...

The rate of change of surface area of a sphere of radius r when the radius is increasing at the rate of 2 cm/s. is proportional to

A

`(1)/(r^(2))`

B

`r^(2)`

C

r

D

`(1)/(r )`

Text Solution

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The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 8
  1. The rate of change of surface area of a sphere of radius r when the ra...

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  2. If the line y=2x+k is a tangent to the curve x^(2)=4y, then the value ...

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  3. The are (in square unit ) bounded by the parabola x^(2)=16y, y-axis an...

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  4. The tangent drawn at the point (0, 1) on the curve y=e^(2x) meets the ...

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  5. The area (in square unit) bounded by the curve f(x)=4-|x| and the x-a...

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  6. If the area bounded by the parabola y=x-x^(2) and the line y=mx is (9)...

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  7. The point of intersection of the tangents to the parabola y^(2)=4ax at...

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  8. The locus of the point of intersection of two perpendicular tangents t...

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  9. If the area bounded by the parabola y=2-x^(2) and the line x+y=0 is A...

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  10. The angle between the tangents drawn from the point (1, 4) to the pa...

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  11. The area (in square unit) of the region bounded by the curve y=|x-2|...

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  12. If the line 2x+sqrt(6)y=2 is a tangent to the hyperbola x^(2)-2y^(2)=...

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  13. The equation of the normal to the curve x^(3)+y^(3)=8xy at the point w...

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  14. The curve x=1-3t^(2), y=t-3t^(3) is symmetrical with respect to -

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  15. The equation of the curve in which the portion of the tangent between...

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  16. The equation of the normal to the parabola y^(2)=5x. Which makes an a...

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  17. The maximum value of Z=3x+4y subject to the constraints x+y le 40, x...

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  18. The minimum value of (1)/(2)(7-cos2x) is -

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  19. If g(x)=min(x, x^(2)) where x is a real number then -

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  20. The value of a so that the sum of the squares of the roots of the equ...

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  21. Twenty metres are available to fence a land in the form of a circular...

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