Home
Class 12
MATHS
Show that the semi-vertical angle of rig...

Show that the semi-vertical angle of right circular cone of given surface area and maximum volume is `"cosec"^(-1) (3)`.

Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 7

    ARIHANT PRAKASHAN|Exercise Section B (60 MARKS)|50 Videos
  • VERY SIMILAR TEST 6

    ARIHANT PRAKASHAN|Exercise SECTION C ANSWER ANY ONE QUESTIONS|11 Videos
  • VERY SIMILAR TEST 8

    ARIHANT PRAKASHAN|Exercise Section C|25 Videos

Similar Questions

Explore conceptually related problems

Prove the semi-vertical angle of the right circular cone of given volume and least curved surface area is cot^(-1) sqrt(2) .

Show that the semi-vertical angle of a right circular cone of minimum volume that circumscribes a given sphere is sin^(-1) (1/3) .

Show that the height of a closed right circular cylinder of given surface and maximum volume is equal to diameter of base.

Show that the semivertical angle of a cone of given slant height is tan^1 sqrt2 when its volume is maximum.

Show that the semi-vertical angle of the cone of the maximum volume and of given slant height is cos^(-1) (1)/(sqrt(3)) .

ARIHANT PRAKASHAN-VERY SIMILAR TEST 7-Section C (30 MARKS)
  1. If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a

    Text Solution

    |

  2. Show that the semi-vertical angle of right circular cone of given surf...

    Text Solution

    |

  3. Find the area of the region bounded by the ellipse (x^(2))/(25)+(y^(2)...

    Text Solution

    |

  4. Find the solutions of the following differential equations : x sin "...

    Text Solution

    |

  5. int("cos"x-"sin"x)/sqrt(8-"sin"2x)dx

    Text Solution

    |

  6. Find the distance of the point (1, -2, 3) from the plane x-y+z=5 measu...

    Text Solution

    |

  7. Find the points on the line (x+2)/(3) = (y+1)/(2) = (z-3)/(2)  at a d...

    Text Solution

    |

  8. Solve equation 3"tan"^(-1)1/((2+sqrt3)) - "tan"^(-1) 1/x ="tan"^(-1) 1...

    Text Solution

    |

  9. Solve the following LPP graphically Maximize, Z=5x(1) +3x(2) Sub...

    Text Solution

    |

  10. Show that the operation * given by x*y=x+y+ -xy is a binary oeration o...

    Text Solution

    |

  11. Examining consistency and solvability, solve the following equation by...

    Text Solution

    |

  12. From a survey conducted in a cancer hospital it is found that 10% of t...

    Text Solution

    |

  13. From a survey conducted in a cancer hospital it is found that 10% of t...

    Text Solution

    |

  14. From a survey conducted in a cancer hospital it is found that 10% of t...

    Text Solution

    |

  15. From a survey conducted in a cancer hospital it is found that 10% of t...

    Text Solution

    |

  16. Find the inverse of matix A=[(1,2,4),(-1,-2,-1),(2,1,-1)] by elementar...

    Text Solution

    |

  17. If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a

    Text Solution

    |

  18. Show that the semi-vertical angle of right circular cone of given surf...

    Text Solution

    |

  19. Find the area of the portion of the ellipse (x^(2))/(12)+(y^(2))/(16)=...

    Text Solution

    |

  20. Find the solutions of the following differential equations : x sin "...

    Text Solution

    |