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The diagonal of a suare is increasing at...

The diagonal of a suare is increasing at the rate of 0.5 cm/sec. when the area of a square is `400 cm^(2)`, the area is increasing at the rate of ………….

A

`10cm^(2)//s`

B

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

C

`20 cm^(2)//s`

D

`5sqrt(2)cm^(2)//s`

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
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  4. If the curves ax^(2)+by^(2)=1 and a'x^(2)+b'y^(2)=1 are orthogonally t...

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  9. The side of an equilateral triangle expands at the rate of sqrt(3) cm/...

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  10. The distance s moved by a particle in time t is given by s=t^(3)-6t^(2...

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  13. The height and radius of a cylinder are equal. An error of 2% is made ...

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  14. The tangent to (at^(2), 2at) is perpendicular to X - axis at

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  16. Find the equation of normal to the curve x^((2)/(3))+y^((2)/(3))=a^((2...

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  17. f(x)=x^(x) decreases in ……….

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  18. f(x)=2|x-2|+3|x-4| is ………… in (2, 4).

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  19. The local maximum value of f(x)=x+(1)/(x) is ………….

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