Home
Class 12
MATHS
At a given instant the legs of a right a...

At a given instant the legs of a right angled triangle are 8 inch and 6 inch respectively. The first leg decreases at 1 inch per minute and second increases at 2 inch per minute. The rate of increasing of the area after 2 minute is

A

1 sq.inch/min

B

2 sq.inch/min

C

3 sq.inch/min

D

4 sq.inch/min

Text Solution

Verified by Experts

The correct Answer is:
A
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

At a given instant, the sides OA and OB of a right angled triangled AOB are 8 cm and 6 cms respectively If OA increases at the rate of 2cm/sec and OB decreases at the rate of 1 cm/sec, the rate of decreases of the area of DeltaAOB after 2 seconds is

When a circular oil drop expands on water, its area increases at the uniform rate of 40 sq.cm per minute. The rate of increase in the radius when the radius 5 cm is

The spherical ballon is being inflated so that its volume increases uniformly at the rate of 40 cubic cm per minute. The rate of increase in the surface as when the radius is 8 cm is

A conical vessel of height 10 ft and semivertical angle 30^@ is full of water. It empties in such a way that the height of water in the vessel is decreasing at a constant rate of 1 inch per minute. The rate of which the volume of water in the vessel is decreasing when its height is 6 ft is

A ladder AB of 10 mts long moves with its ends o the axes. When the end A is 6 mts form the origin. It moves away from it at 2mts/minute. The rate of increase of the area of the DeltaOAB is

When a circular oil drop expands on water, its area increases at the uniform rate of 40 sq. cm per minute. Find the rate of increase in the radius and circumference of the circle when the radius is 5 cm.

Let x be the length of one of the equal sides of an isosceles triangle, and let theta be the angle between them. If x is increasing at the rate (1/12) m/h/ and theta is increasing at the rate of pi//180 radians/h then the rate in m^(2)//h at which the area of the triangle whe x = 12m and theta = pi //4

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 diameter and the altitude of a circular cylinder are found at a certain instant to be 20 cm and 40 cm respectively. If the diameter is increasing at the rate of 2 cm per second, whaf change in the altitude will keep the volume constant.

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1C (RATE OF CHANGE)
  1. Each side of an equilateral triangle expands at the rate of 2 cm/sec. ...

    Text Solution

    |

  2. The side of an equilateral triangle increases at the uniform rate of 0...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |