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The sides of an equilateral triangle are...

The sides of an equilateral triangle are increasing at the rate of 2cm/sec. The rate at which the area increases, when side is 10 cm is ………..

A

`10 cm^(2)//s`

B

`sqrt(3)cm^(2)//s`

C

`10sqrt(3)cm^(2)//s`

D

`(10)/(3)cm^(2)//s`

Text Solution

Verified by Experts

The correct Answer is:
C
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (OBJECTIVE TYPE TYPE QUESTIONS)
  1. The sides of an equilateral triangle are increasing at the rate of 2cm...

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  2. A ladder, 5 meter long, standing on a horizontal floor, leans against ...

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  3. At point (0, 0) the curve y=x^((1)/(5)) has …………

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  4. The equation of normal to the curve 3x^(2)-y^(2)=8 which is parallel t...

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  5. If the curve ay+x^(2)=7 and x^(3)=y, cuts orthogonall at (1, 1), then ...

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  6. If y=x^(4)-10 and if x change from 2 to 1.99, what is the change in y ...

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  7. The equation of tangent to the curve y(1+x^(2))=2-x, where it crosses ...

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  8. The points at which the tangents to the curve y=x^(3)-12x+18 are paral...

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  9. The tangent to the curve y=e^(2x) at the point (0, 1) meets X-axis at ...

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  10. The slope of tangent to the curve x=t^(2)+3t-8, y=2t^(2)-2t-5 at the p...

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  11. The two curve x^(3)-3xy^(2)+2=0 and 3x^(2)y-y^(3)-2=0 intersect at an ...

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  12. The interval on which the function f(x)=2x^(3)+9x^(2)+12x-1 is decreas...

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  13. Let the f : R to R be defined by f(x)=2x+cos x, then f …………….

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  14. y=x(x-3)^(2) decreases for the values of x given by …………..

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  15. The function f(x)=4 sin^(3)x-6 sin^(2)x+12 sin x + 100 is strictly ………...

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  16. Which of the following functions is decreasing on (0, (pi)/(2)).

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  17. The function f (x) = tan x-x ………..

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  18. If x is real, the minimum value of x^(2)-8x+17 is …………. (Where x in R)

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  19. The smallest value of the polynomial x^(3)-18x^(2)+96x in [0, 9] is ……...

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  20. The function f(x)=2x^(3)-3x^(2)-12x+4, has …………

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