Home
Class 12
MATHS
Given two squares of sides x and y such ...

Given two squares of sides x and y such that `y=x+x^(2)` what is the rate of change of area of the second square with respect to the area of the first square?

A

`x^2+3x-1`

B

`2x^2-3x+1`

C

`2x^2+3x+1`

D

1+2x

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|129 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

x and y are the sides of two square such that y=x-x^(2) . The rate of change of area of the second square with respect to that of the first square is

x and y are the sides of two squares such that y=x-x^(2). Find the rate of the change of the area of the second square with respect to the first square.

If x and y are the sides of two squares such that y=x-x^(2) .Find the change of the area of second square with respect to the area of the first square.

If x and y are the sides of two squares such that y=x-x^(2) , find the rate of the change of the area of the second square with respect to the first square.

If the side of a square is doubled, then the area of the square

Diagonal of first square is half of the diagonal of the other, then the area of second square with respect to the area of the first square will be

IF the area of square is 25m^2 , then the side of the square is

The perimeters of two squares are 24 cm and 32 cm, respectively What is the perimeter of a third square whose area is equal to the sum of area of these two squares ?

If the perimeter and area of a square change at the same rate, then the side of the square is

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. If by dropping a stone in a quiet lake a wave moves in circle at a ...

    Text Solution

    |

  2. The sides of an equilateral triangle are increasing at the rate of ...

    Text Solution

    |

  3. Given two squares of sides x and y such that y=x+x^(2) what is the rat...

    Text Solution

    |

  4. A container is in the shape of an inverted cone. Its height is 6 m and...

    Text Solution

    |

  5. IF the volume of a spherical balloon is increasing at the rate of 900c...

    Text Solution

    |

  6. A spherical balloon is being inflated so that its volume increase unif...

    Text Solution

    |

  7. If the volume of spherical ball is increasing at the rate of 4pi" cc/s...

    Text Solution

    |

  8. A spherical balloon is being inflated at the rate of 35 cc/min. The ra...

    Text Solution

    |

  9. A spherical balloon is filled with 4500p cubic meters of helium gas...

    Text Solution

    |

  10. The rate of change of volume of a sphere with respect to its surface a...

    Text Solution

    |

  11. The weight W of a certain stock of fish is given by W = nw, where n is...

    Text Solution

    |

  12. The point on the curve 6y =x ^(3)+2 at which y- co ordinate is ...

    Text Solution

    |

  13. The approximate value of f(X) = x^(3) +5x^(2)-7x+9 at x= 1.1 ...

    Text Solution

    |

  14. The approximate value of root3(-0.99) is .

    Text Solution

    |

  15. What is approximate value of root5(242.999)?

    Text Solution

    |

  16. The approximate value of cos31^@ is (Take 1^@=0.0174)

    Text Solution

    |

  17. If the Rolle's theorem for f(x)=e^(x)(sin x-cosx) is verified on [(pi)...

    Text Solution

    |

  18. For the function f(x)=e^cosx, Rolle's theorem is

    Text Solution

    |

  19. In which of the following functions, Rolle's theorem is applicable?

    Text Solution

    |

  20. For the function f(x)=e^x,a=0,b=1, the value of c in mean value theore...

    Text Solution

    |