Home
Class 12
MATHS
The sides of an equilateral triangle are...

The sides of an equilateral triangle are increasing at the rate of 2 cm/sec. How far is the area increasing when the side is 10 cms?

A

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

B

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

C

`10 cm^(2)//sec`

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DEFINITEINTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS:(MCQ)|27 Videos

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

Similar Questions

Explore conceptually related problems

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

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

The side of an equilateral triangle is increasing at the rate of 2 cm/s. At what rate is its area increasing when the side of the triangle is 20 cm?

The side of a square sheet is increasing at the rate of 4cm per minute.At what rate is the area increasing when the side is 8cm long?

If the side of an equilateral triangle increases uniformly at the rate of 3(ft)/s .If lambda (ft)^(2)/s be the area increasing, when the side is 10ft ,then the value of 5sqrt(3)lambda must be

The volume of a cube is increasing at a rate of 9 cm^3/sec . How fast is the surface area increasing when the length of an edge is 12 cm?

The sides of an equilateral triangle increases at the rate of sqrt3 cm//sec . What will be the rate of increase in area of the triangle when the length of a side is 5 cm ?

Side of an equilateral triangle expands at the rate of 2 cm/sec. The rate of increase of its area when each side is 10 cm is

NIKITA PUBLICATION-APPLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS
  1. For a gas equation PV=100, volume V is 25 cm^(3), pressure P is measur...

    Text Solution

    |

  2. A ship starts from a port at 12 noon and travels due east with a speed...

    Text Solution

    |

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

    Text Solution

    |

  4. The length x of a rectangle is increasing at the rate of 3 cm/sec. and...

    Text Solution

    |

  5. The side of a square is increasing at the rate of 0.5 cm/sec. Find the...

    Text Solution

    |

  6. The sides of a square area is increasing at the rate of 0.5 cm/sec. If...

    Text Solution

    |

  7. A square plate is contracting at the uniform rate of 2 cm^(2)//sec. If...

    Text Solution

    |

  8. If the rate of change of area of a square plate is equal to that of th...

    Text Solution

    |

  9. The diagonal of square is changing at the rate of 0.5 cms^(-1). Then t...

    Text Solution

    |

  10. The edge of a cube is decreasing at the rate of 0.04 cm/sec. If the ed...

    Text Solution

    |

  11. एक घन के आयतन 8 cm ^3 //s की दर से बढ़ रहा है पृष्ठ क्षेत्रफल किस द...

    Text Solution

    |

  12. If the radius of a circle is 2 cm and is increasing at the rate of 0.5...

    Text Solution

    |

  13. Find the rate of change of the area of a circular disc with respect...

    Text Solution

    |

  14. The radius of a circular blot of oil is increasing at the rate of 2 cm...

    Text Solution

    |

  15. The radius of a circular blot of oil is increasing at the rate of 2 cm...

    Text Solution

    |

  16. A stone is dropped into a pond. Waves in the form of circles are gener...

    Text Solution

    |

  17. A stone is dropped into a pond. Waves in the form of circles are gener...

    Text Solution

    |

  18. If the rate of increase of area of a circle is not constant but the ra...

    Text Solution

    |

  19. The radius of a soap bubble is increasing at the rate of 0.2 cm/sec. I...

    Text Solution

    |

  20. A spherical soap bubble is expanding so that its radius is increasing ...

    Text Solution

    |