Home
Class 12
MATHS
If in a triangle A B C , the side c and ...

If in a triangle `A B C` , the side `c` and the angle `C` remain constant, while the remaining elements are changed slightly, using differentials show that `(d a)/(c sA)+(d b)/(cosB)=0`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    RD SHARMA ENGLISH|Exercise All Questions|646 Videos

  • DIFFERENTIATION

    RD SHARMA ENGLISH|Exercise All Questions|806 Videos

Similar Questions

Explore conceptually related problems

If in a triangle A B C , the side c and the angle C remain constant, while the remaining elements are changed slightly, show that (d a)/(cosA)+(d b)/(cosB)=0.

In a right triangle A B C , right angled at C , if /_B=60o and A B=15 units. Find the remaining angles and sides.

In a Delta ABC if sides a and b remain constant such that a is the error in C, thenrelatinv error in its area, is

If a triangle ABC, inscribed in a fixed circle, be slightly varied in such away as to have its vertices always on the circle, then show that (d a)/(c a sA)+(d b)/(cosB)+(d c)/(cosC)=0.

If a triangle ABC, inscribed in a fixed circle, be slightly varied in such away as to have its vertices always on the circle, then show that (d a)/(c a sA)+(d b)/(cosB)+(d c)/(cosC)=0.

In DeltaABC, C=90^(@), A=30^(@), b=6 , find the remaining elements of the triangle.

If A,B,C,D are the angles of a cyclic quadrilateral, show that cosA+cosB+cosC+cosD=0

In a triangle A B C ,\ \ A D_|_B C and A D^2=B DxxC Ddot Prove that A B C is a right triangle.

In an equilateral triangle A B C the side B C is trisected at D . Prove that 9\ A D^2=7\ A B^2

In a cyclic quadrilateral A B C D , if AB || CD\ a n d\ /_B=70^0, find the remaining angles.

RD SHARMA ENGLISH-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-All Questions
  1. The time t of a complete oscillation of a simple pendulum of length l ...

    Text Solution

    |

  2. If y=x^4-10 and if x changes from 2 to 1.99, what is the approximate c...

    Text Solution

    |

  3. If in a triangle A B C , the side c and the angle C remain constant, w...

    Text Solution

    |

  4. Using differentials find the approximate value of tan46^0, if it is be...

    Text Solution

    |

  5. If there is an error of 2% in measuring the length of simple pendulum,...

    Text Solution

    |

  6. If a triangle ABC, inscribed in a fixed circle, be slightly varied in ...

    Text Solution

    |

  7. If an error of k % is made in measuring the radius of a sphere, then p...

    Text Solution

    |

  8. If there is an error of a% in measuring the edge of a cube, then pe...

    Text Solution

    |

  9. While measuring the side of an equilateral triangle an error of k% i...

    Text Solution

    |

  10. The height of a cylinder is equal to the radius. If an error of alpha%...

    Text Solution

    |

  11. A sphere of radius 100mm shrinks to radius 98mm, then the approximate ...

    Text Solution

    |

  12. If (log)e4-1. 3868 ,t h e n(log)e 4.01= 1.3968 (b) 1.3898 (c) 1.38...

    Text Solution

    |

  13. Find the percentage error in calculating the volume of a cubical box i...

    Text Solution

    |

  14. The approximate value of (33)^(1/5) is

    Text Solution

    |

  15. Use differentials to approximate sqrt(25. 2)

    Text Solution

    |

  16. The circumference of a circle is measured as 28cm with an error of ...

    Text Solution

    |

  17. If y=x^4-10 and if x changes from 2 to 1.99, what is the approximat...

    Text Solution

    |

  18. A circular metal plate expands under heating so that its radius inc...

    Text Solution

    |

  19. Find the percentage error in calculating the volume of a cubical bo...

    Text Solution

    |

  20. The time t of a complete oscillation of a simple pendulum of length l ...

    Text Solution

    |