Home
Class 11
MATHS
Let x be the length of one of the equal ...

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`

A

`sqrt(3)((pi)/(5)+(1)/(2))`

B

`sqrt(2)((pi)/(5)+(1)/(2))`

C

`((pi)/(5)+(1)/(2))`

D

`sqrt(2)((pi)/(5)+(1)/(5))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RATE MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)|43 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

  • RATE OF CHANGE

    AAKASH SERIES|Exercise Advanced Subjective Type Questions|22 Videos

Similar Questions

Explore conceptually related problems

Show that the area of an Isosceles triangles is A=a^2SinthetaCostheta where a is the length of one of the two equal sides and theta is the measure of one of two equal angles.

The roots of x^2-2sqrt3x+2=0 represent two sides of a triangle. IF the angle between them is pi//3 , then the perimeter of the triangle is

The equation of the base of ann equilateral triangle is 3x-4y+15=0 and one vertex is (1,2). The length of the side is

A point is moving on y = 4 - 2x^(2) . The x-coordinate of the point is decreasint at the rate of 5 units/sec. Then the rate at which y - coordinate of the point is changing when the point is at (1,2) is

One side of an equilateral triangle is 3x+4y=7 and its vertex is (1,2). Then the length of the side of the triangle is

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

The roots of x^(2) - 2 sqrt 3 x+ 2=0 represent two sides of a triangle . If the angle between them is (pi)/(3) , then the perimeter of the triangles is

The base of an equilateral triangle is along the line given by 3x+4y=9 . If a vertex of the triangle is (1,2) then length of a side of the triangle is

Let theta be a an acute angle such that the equation x^(3) + 4x^(2) cos theta + x cot theta = 0 has multiple roots. Then the value of theta (in radians ) is

AAKASH SERIES-RATE MEASUREMENT-PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)
  1. Let x be the length of one of the equal sides of an isosceles triangle...

    Text Solution

    |

  2. If a particle moves alonga straight line by S = 4t^(2) - 8t + 3 and th...

    Text Solution

    |

  3. The rate of change of sin t is n, then the rate of change of tan t is

    Text Solution

    |

  4. A particle moves along a straight line according to the equation s = 8...

    Text Solution

    |

  5. An angle theta through which a pulley turns with time 't' is completed...

    Text Solution

    |

  6. A particle moves along a line by s = (t^(3))/(3) - 3t^(2) + 8t then th...

    Text Solution

    |

  7. A particle 'p' moves along a straight line away from a point 'O' obeyi...

    Text Solution

    |

  8. If the rate of change of sine and tangent of the same angle are equal ...

    Text Solution

    |

  9. If the displacement in time t of a particle is given by s = ae^(t) + b...

    Text Solution

    |

  10. If the distance S travelled by a particle in time t is given by s = t^...

    Text Solution

    |

  11. The displacement of a particle in time 't' is given by S = t^(3) - t^(...

    Text Solution

    |

  12. A particle moves in a straight line according to the law v^(2) = 4a (x...

    Text Solution

    |

  13. The distance moved by the particle in time 't' is given by S = t^(2) -...

    Text Solution

    |

  14. A particle moves along the X-axis with velocity v = (dx)/(dt)=f(x) the...

    Text Solution

    |

  15. If the distance travelled by a particle is x = sqrt(pt^(2) + 2qt + r...

    Text Solution

    |

  16. If a particle moves along a line by S = sqrt(1 + t) then its accelerat...

    Text Solution

    |

  17. A particle moves on a line according to the law s = at^(2) + bt + c. I...

    Text Solution

    |

  18. A particle velocity v at time is given by v = 2e^(2t) cos(pi t)/(3). T...

    Text Solution

    |

  19. Each side of an equilateral triangle expands at the rate of 2 cm/sec. ...

    Text Solution

    |

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

    Text Solution

    |

  21. An aeroplane is flying horizontally at an altitude of 3000 ft directly...

    Text Solution

    |