Home
Class 12
MATHS
A variable triangle ABC is inscribed in ...

A variable triangle ABC is inscribed in a circle of diameter x units. At a particular instant the rate of change of side 'a' is x/2 time the rate of change of the opposite angle A then A =

A

`pi/4`

B

`pi/3`

C

`pi/2`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1E (MAXIMA AND MINIMA)|221 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (TANGENT AND NORMAL)|205 Videos
  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

A variable triangle is inscribed in a circle of radius R. If the rate of change of a side is R times the rate of change of he opposite angle, then the opposite angle is

If the rate of change in the perimeter of a square is K times the rate of change in its side then k =

If the rate of change in y=2x^3+3x^2-30x+7 is 6 times the rate of change in x , then x =

If the rate of change of area of a circle is equal to tha rate of change of its diameter then its radius =

An equilateral triangle is inscribed in the circle x^(2)+y^(2)=a^(2) . The length of the side of the triangle is

The length x of a rectangle is decreasing at the rate of 5 cm/minute and the width is increasing at the rate of y cm/minute When x =8cm and y=6cm, find the rates of change of (a) the perimeter, and (b) the area of the rectangle.

The length x of a rectangle is decreasing at the rate of 3 cm/minute and the width y is increasing at the rate of 2cm/minute. When x =10cm and y = 6cm, find the rates of change of (a) the perimeter and (b) the area of the rectangle.

If an equilateral triangle is inscribed in the circle x^(2)+y^(2)-6x-4y+5=0 then its side is

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1C (RATE OF CHANGE)
  1. The side of an equilateral triangle increases at the uniform rate of 0...

    Text Solution

    |

  2. At a given instant the legs of a right angled triangle are 8 inch and ...

    Text Solution

    |

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

    Text Solution

    |

  4. A spherical balloon is filled with 4500pi cubic meters of helium gas. ...

    Text Solution

    |

  5. Gas is leaking out of a spherical balloon at the rate of 1800 cubic cm...

    Text Solution

    |

  6. The volume of a metal hollow sphere is constant. If the outer radius i...

    Text Solution

    |

  7. The side of a cube is equal to the diameter of a sphere. If the side a...

    Text Solution

    |

  8. The side of a cube is equal to the radius of a shpere. If the side and...

    Text Solution

    |

  9. If the rates of increase of side of a cube and radius of a sphere are ...

    Text Solution

    |

  10. The bas radius of a cylindrical vessel full of oil is 30 cm. Oil is dr...

    Text Solution

    |

  11. Oil is being filled in a cylindrical tank of diameter 12 mt. The rate ...

    Text Solution

    |

  12. Water is flowing into cylindrical tank of radius 7 ft in the rate of 2...

    Text Solution

    |

  13. The diameter and altitude of a right circular cylinder are found at a ...

    Text Solution

    |

  14. The diameter and altitude of a right circular cylinder are found at a ...

    Text Solution

    |

  15. An inverted cone has a depth of 10 cm and a base of radius 5 cm. Watee...

    Text Solution

    |

  16. The radius of the base and depth of a conical funnel are 20 cm and 40 ...

    Text Solution

    |

  17. Water is being poured in to the inverted conical vessel at the rate of...

    Text Solution

    |

  18. Sand is being poured on the ground from the orifice of an elevated pip...

    Text Solution

    |

  19. Sand is being poured on the ground from the orifice of an elevated pip...

    Text Solution

    |

  20. Water flows into a conical vessel at the rate of 5 cubic cm per second...

    Text Solution

    |