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

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

A

`10 cm^(2)//s`

B

`sqrt3 cm^(2)//s`

C

`10sqrt3 cm^(2)//s`

D

`10/3 cm^(2)//s`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Level -1|102 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Level -2|69 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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?

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

The side of an equilateral triangle is increasing at the rate of 10cm/sec . Find the rate of increase of its perimeter.

The Sides 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

The side of an equilateral triangle is 'a' units and is increasing at the rate of lambda units/sec. The rate of increase of its area, is

The side of an equilateral triangle is 3.5 cm. Find its perimeter

The radius of a sphere is increasing at the rate of 0.2 cm/sec. The rate at which the volume of the sphere increases when radius is 15 cm, is

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-JEE Advanced (Archive)
  1. The sides of an equilateral triangle are increasing at the rate of...

    Text Solution

    |

  2. Let f,g : [-1,2] to be continuous functions which are twice different...

    Text Solution

    |

  3. Let f:Rrarr(0,oo)andg:RrarrR be twice differentiable functions such th...

    Text Solution

    |

  4. If f:R is a differentiable fucntion such that f(x) gt 2f(x) for all x...

    Text Solution

    |

  5. The point(s) on the curve y^3+\ 3x^2=12 y where the tangent is ver...

    Text Solution

    |

  6. On the ellipse 4x^2+9y^2=1, the points at which the tangents are paral...

    Text Solution

    |

  7. If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...

    Text Solution

    |

  8. If the function g:(-oo,oo)rarr(-(pi)/(2),(pi)/(2)) is given by g(u)=...

    Text Solution

    |

  9. If f(x)=x^3+bx^2+cx+d and 0<b^2<c, then

    Text Solution

    |

  10. The length of the longest interval in which the function 3sinx-4sin^3x...

    Text Solution

    |

  11. If f(x)=xe^(x(1-x)), then f'(x) is

    Text Solution

    |

  12. The function f(x)=sin^4x+cos^4x increasing if 0<x<pi/8 (b) pi/4<x<(3p...

    Text Solution

    |

  13. If f(x)=x/(sinx) \ a n d \ g(x)=x/(tanx),w h e r e \ 0ltxlt=1, then in...

    Text Solution

    |

  14. The function f(x)=(log (pi+x))/(log (e+x))," is "

    Text Solution

    |

  15. Let fa n dg be increasing and decreasing functions, respectively, from...

    Text Solution

    |

  16. Let f:(0,oo) in R be given f(x)=overset(x)underset(1//x)int e^(t+(1)...

    Text Solution

    |

  17. Let h(x)=f(x)-(f(x))^2+(f(x))^3 for every real number xdot Then (a) h ...

    Text Solution

    |

  18. Let f(X) be a polynomila of degree four having extreme values at x =1 ...

    Text Solution

    |

  19. The number of points in (-oo,oo), for which x^2-xsinx-cosx=0, is

    Text Solution

    |

  20. Let f,g and h be real-valued functions defined on the interval [0,1] b...

    Text Solution

    |

  21. The total number of local maxima and local minima of the function f...

    Text Solution

    |