Home
Class 12
MATHS
The base of prism is equilateral triangl...

The base of prism is equilateral triangle. The distance from the centre of one base to one of the vertices of the other base is `ldot` Then altitude of the prism for which the volume is greatest is `l/2` (b) `l/(sqrt(3))` (c) `l/3` (d) `l/4`

A

`(e) /(2)`

B

`(e) /(sqrt(3))`

C

`(e)/(3)`

D

`(e)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-2 Part II|21 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-2 Part III|23 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise 1 Part III : Match the Column|4 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

The base of prism is equilateral triangle.The distance from the centre of one base to one of the vertices of the other base is l. Then altitude of the prism for which the volume is greatest is (l)/(2) (b) (l)/(sqrt(3)) (c) (l)/(3)(d)(l)/(4)

The base of a right prism is an equilateral triangle of edge 12 m. If the volume of the volume of the prism is 288sqrt(3) m^(3) , then its height is ________.

The base of a right prism is an equilateral triangle of area 173 cm^(2) and the volume of the prism is 10380 cm^(3) . The area of the lateral surface of the prism is (use sqrt(3) = 1.73 )

The volume of a right prism, whose base in an equilateral triangle, is 1500 sqrt(3) cm^(3) and the height of the prism is 125 cm. Find the side of the base of the prism.

The base of a right prism is a right angled triangle. The measure of the base of the right angled triangle is 3 m and its height 4 m. If the height of the prism is 7 m. then find (a) the number fo edges of the prism. (b) the volume of the prism. (c) the total surface area of the prism.

A ray of light incident on an equilateral triangular glass prism of mu = sqrt(3) moves parallel to the base of the prism inside it. What is the angle of incidence for this ray ?

The area of the base of a right equilateral triangular prism is 16sqrt(3) cm^(2) . If the height of the prism is 12 cm, then the lateral surface area and the total surface area of the prism respectively are

The equation of an altitude of an equilateral triangle is sqrt(3)x+y=2sqrt(3) and one of its vertices is (3,sqrt(3)) then the possible number of triangles is

RESONANCE-APPLICATION OF DERIVATIVES-Exersise-2 Part I
  1. "Let "f(x) ={ underset( x^(2) +8 " "." "x ge0)(-x^(2)" "." "x lt0)...

    Text Solution

    |

  2. Minunun distance between the curves f(x)=e^x and g(x)=ln x is

    Text Solution

    |

  3. The point(s) on the parabola y^2 = 4x which are closest to the circlex...

    Text Solution

    |

  4. If f(x)= a^({a^(|x|)sgn x }),g(x)=a^([a^(|x|)sgn x] for a gt 1, a!=1...

    Text Solution

    |

  5. If f:[1,10]->[1,10] is a non-decreasing function and g:[1,10]->[1,10] ...

    Text Solution

    |

  6. If f(x)=|ax-b|+c|x| is stricly increasing at atleast one point of non ...

    Text Solution

    |

  7. If g(x) is a curve which is obtained by the reflection of f(x) = (e^x...

    Text Solution

    |

  8. The set of values of p for which the points of extremum of the functio...

    Text Solution

    |

  9. The values of parameter a for which the point of minimum of the functi...

    Text Solution

    |

  10. Consider the following statements : S(1): The function y=(2x^(2)-1)...

    Text Solution

    |

  11. Q. Let f (x)=sin^3x+ lambdasin^2x where (pi)/2 ltxlt (pi)/2. The inte...

    Text Solution

    |

  12. "Let "f(x) ={underset(-2x + log(2) (b^(2)-2), x gt1)(x^(3) -x^(2) +10 ...

    Text Solution

    |

  13. Four points A, B, C, D lie in that order on the parabola y = ax^2 +bx+...

    Text Solution

    |

  14. The base of prism is equilateral triangle. The distance from the centr...

    Text Solution

    |

  15. The maximum area of the rectangle whose sides pass through the vertice...

    Text Solution

    |

  16. Statement 1: ABC is given triangle having respective sides a,b,c. D,E,...

    Text Solution

    |

  17. if f'(x)=(x -4) (x-5) (x-6) (x-7) then.

    Text Solution

    |

  18. Show that the square roots of two successive natural numbers greater ...

    Text Solution

    |

  19. If Rolle's theorems applicable to the function f(x)=ln x/x, (x> 0) ove...

    Text Solution

    |

  20. if f(x) be a twice differentiable function such that f(x) =x^(2) " fo...

    Text Solution

    |