Home
Class 11
MATHS
Each side of an equilateral triangle exp...

Each 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 (in `cm^2`/sec)

A

`10sqrt(2)` sq.cms/sec

B

`10sqrt(3)` sq.cms/sec

C

10 sq.cms/sec

D

5 sq.cms/sec

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RATE MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)|43 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

  • RATE OF CHANGE

    AAKASH SERIES|Exercise Advanced Subjective Type Questions|22 Videos

Similar Questions

Explore conceptually related problems

The side of an equilateral triangle increases at the uniform rate of 0.05 cm/sec. The rate of increase in the area of the triangle when the side is 20 cm is

The volume of a sphere is increasing at the rate of 1200 c.cm/sec. The rate of increase in its surface area when the radius is 10 cm is

The side of an equilateral triangle increases at a uniform rate of 0.05 cm/sec. Find the rate of increase in the area of the triangle when the side is 20cm.

Area of an equilateral triangle whose side is 2 cm is

Draw an equilateral triangle whose sides are 5.2 cm. each

Find the side of the equilateral triangle whose perimeter is 54 cm

AAKASH SERIES-RATE MEASUREMENT-PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)
  1. A particle moves on a line according to the law s = at^(2) + bt + c. I...

    Text Solution

    |

  2. A particle velocity v at time is given by v = 2e^(2t) cos(pi t)/(3). T...

    Text Solution

    |

  3. Each side of an equilateral triangle expands at the rate of 2 cm/sec. ...

    Text Solution

    |

  4. A variable triangle ABC is inscribed in a circle of diameter x units. ...

    Text Solution

    |

  5. An aeroplane is flying horizontally at an altitude of 3000 ft directly...

    Text Solution

    |

  6. A source of light is hung h mts. Directly above a straight horizontal ...

    Text Solution

    |

  7. If the rate of change in the perimeter of a square is K times the rate...

    Text Solution

    |

  8. The point of the ellipse 16x^(2) + 9y^(2) = 400. At which the ordinate...

    Text Solution

    |

  9. A car starts from and attains the speed of 1 km/hr nad 2,ms/hr at the ...

    Text Solution

    |

  10. A point is moving along y^(3) = 27x. The interval in which the absciss...

    Text Solution

    |

  11. In a simple pendulum , if the rate of change in the time period is equ...

    Text Solution

    |

  12. A point is moving on y = 4 - 2x^(2). The x-coordinate of the point is ...

    Text Solution

    |

  13. At the point (2,3) on the curve y = x^(3) - 2x + 1, the gradient of th...

    Text Solution

    |

  14. A point is moving along the cubical parabola 12y = x^(3). The rate of...

    Text Solution

    |

  15. Moving along the x - axis there are two points with x = 10 + 6t, x =3 ...

    Text Solution

    |

  16. The pressure p and the voluem v of a gas are connected by the relation...

    Text Solution

    |

  17. A wheel rotates so that the angle of rotation is proportional to the s...

    Text Solution

    |

  18. If the semivertical angle of a cone is 45^(@) then the rate of chang...

    Text Solution

    |

  19. The volume of a ball increases at 2pic.c//sec. The rate of increase of...

    Text Solution

    |

  20. A ballon is in the shape of a cone surmounted by a semi sphere. The ra...

    Text Solution

    |