Home
Class 12
MATHS
Sides of a square are increasing at the ...

Sides of a square are increasing at the rate 0.5`cm//sec`. When the side is 10 cm long, its area is increasing at the rate of

A

`100cm^2//sec`

B

`0.10cm^2//sec`

C

`10cm^2//sec`

D

`1cm^2//sec`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|129 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|161 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

Sides of a sqare are inceasing at the rate of 0.5 cm //sec. When the side is 10 cm long its area is increasing at the rate of

Perimeter of square increases at the rate of 0.4 cm// sec . When the side is 20 cm, its area increases at the rate of

Perimeter of square increases at the rate of 0.4 cm// sec . When the side is 20 cm, its area increases at the rate of

The sides of a square area is increasing at the rate of 0.5 cm/sec. If the side of a square is 10 cm long, then the rate of increase of its perimeter is

Each side of an equilateral triangle increases at a uniform rate of 0.5 cm // sec . When each side is 40 cm , its area is increasing at the rate of

The surface area of a cube is increasing at the rate of 2 cm^(2)//sec . When its edge is 90 cm, the volume is increasing at the rate of

Each side of an equilateral triangle increases ta a uniform rate of 0.5 cm // sec . When each side is 40 cm , its area is increasing at the rate of

When a circle oil drop expands on water, its area increase at the rate of 40 pi cm ^(2)//sec When the radius is 5 cm, it is increasing at the rate of

If the surface area of a cube increases at the rate of 0.6cm^(2) //sec , then, when the side is 4 cm , volume of the cube is increasing at the rate of

If the surface area of a cube increases at the rate of 0.6cm^(2) //sec , then, when the side is 4 cm , volume of the cube is increasing at the rate of

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-EVALUATION TEST
  1. Sides of a square are increasing at the rate 0.5cm//sec. When the side...

    Text Solution

    |

  2. If 27a+9b+3c+d=0 then the equation 4ax^(3)-3bx^(2)+2cx+0 has at leat ...

    Text Solution

    |

  3. If the curve y=x^(2)+bx +c touches the line y = x at the point (1,1),...

    Text Solution

    |

  4. A tangent to the parabola y^2=8x makes an angle of 45^0 with the strai...

    Text Solution

    |

  5. The greatest value of the function f(x)=tan^(- 1)x-1/2logx in [1/(sqrt...

    Text Solution

    |

  6. IF alpha+beta=pi/2, then cosalpha cos beta has a maximum value at beta...

    Text Solution

    |

  7. Prove that the segment of the tangent to the hyperbola y = (c )/(x) w...

    Text Solution

    |

  8. If 2a+3b+6c=0, then prove that at least one root of the equation a x^2...

    Text Solution

    |

  9. The maximum value of f(x)=sinx(1+cosx) is

    Text Solution

    |

  10. The minimum value of f(x)=sin^4x+cos^4x,0lexlepi/2 is

    Text Solution

    |

  11. The minimum value of 2^(x^2-3)^(3+27) is 2^(27) (b) 2 (c) 1 (d) ...

    Text Solution

    |

  12. If the function f(x)=3 cos |x| -6 ax +b increases for all x in R then ...

    Text Solution

    |

  13. The minimum value of a^2sec^2x+b^2cosec^2x,0ltaltb,is

    Text Solution

    |

  14. The function y=(ax+b)/(x-1)(x-4) has turning point at P(2,-1) Then fin...

    Text Solution

    |

  15. if 0ltalphaltbetaltpi/2 , then

    Text Solution

    |

  16. The two curves y=3^x and y=5^xintersect at an angle

    Text Solution

    |

  17. If alpha and beta (alpha lt beta) are two different real rootsof the e...

    Text Solution

    |

  18. The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in

    Text Solution

    |

  19. If the function f(x)=x^3-12ax^2+36a^2x-4(agt0) attains its maximum a...

    Text Solution

    |

  20. Verify Rolle's theorem for each of the following functions : f(x) = ...

    Text Solution

    |

  21. The abscissa of the point on the curve ay^2 = x^3, the normal at whic...

    Text Solution

    |