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Two parallel sides of a rectangle are be...

Two parallel sides of a rectangle are being lenghtened at the rate of 2 cm/sec while the other two sides are shortened in such a way the area of the rectangle is 50 sq. cm The rate of change of the perimeter when the length of an increasing side 5 cm is

A

2 cm/sec

B

6 cm/sec

C

`-2 cm/sec`

D

`-4 cm/sec`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-RATE MEASUREMENT-PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)
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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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