Home
Class 12
MATHS
If the median AD of triangle ABC makes a...

If the median AD of triangle ABC makes an angle `pi/4` with the side BC, then find the value of `|cotB-cotC|`.

A

1

B

3

C

2

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 2 (LEVEL I)|25 Videos

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 2 (LEVEL II)|6 Videos

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL II)|10 Videos

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos

  • STRAIGHT LINE

    MOTION|Exercise Exercise 4 Lelvel -II|7 Videos

Similar Questions

Explore conceptually related problems

If the median AD of triangle ABC makes an angle (pi)/(4) with the side BC, then find the value of |cot B-cot C|

If the median AD of a triangle ABC makes an angle theta with side, AB, then sin(A-theta) is equal to

If median AD of a triangle ABC makes angle (pi)/(6) with side BC, then the valur of (cot B-cot C)^(2) is equal to

If the bisector of angle A of the triangle ABC . makes an angle theta with BC, then sin theta=

The sides AB and BC and the median AD of triangle ABC are equal to the sides PQ and QR and the median PM of triangle PQR respectively. Prove that the triangles ABC and PQR are congruent.

In a triangle ABC,if the median AD makes an angle theta with AC and AB=2AD then sin theta=

In a Delta ABC , if b + c = 3a, then the value of cotB/2cotC/2, is

Triangle ABC is similar to triangle PQR and AB : PQ = 2 : 3. AD is the median to the side BC in triangle ABC and PS is the median to the side QR in triangle PQR. What is the value of (BD//QS)^2 ?

triangle ABC is similar to triangle PQR and AB: PQ = 2: 3. AD is the median to the side BC in triangle ABC and PS is the median to the side QR in triangle PQR. What is the value of (BD//QS)^(2) ?

MOTION-SOLUTION OF TRIANGLE-EXERCISE -1
  1. In a triangleABC, [tan(A/2) tan(C/2)] is equal to

    Text Solution

    |

  2. In A B C , the median A D divides /B A C such that /B A D :/C A D=2:1...

    Text Solution

    |

  3. If the median AD of triangle ABC makes an angle pi/4 with the side BC,...

    Text Solution

    |

  4. In a DeltaABC, A=(2pi)/3, b-c=3sqrt3 cm and area(DeltaABC)=(9sqrt3)/2 ...

    Text Solution

    |

  5. If the area of triangleABC is triangle =a^(2) -(b-c)^(2), then: tanA =

    Text Solution

    |

  6. If the sides of a triangles are 3:7:8, then ratio R:r

    Text Solution

    |

  7. In a right angled triangle R is equal to

    Text Solution

    |

  8. In a triangle a = 13 , b = 14, c = 15, r =

    Text Solution

    |

  9. In an equilateral triangle, the inradius and the circumradius are conn...

    Text Solution

    |

  10. In a triangle ABC, right angled at B, then

    Text Solution

    |

  11. If the area of triangles is 100 sq. cm, r1= 10 cm and r2= 50 cm, then...

    Text Solution

    |

  12. In a triangleABC, the inradius and three exradii are r,r1,r2" and "r3 ...

    Text Solution

    |

  13. In a triangleABC if r1 lt r2 lt r3, then

    Text Solution

    |

  14. In a triangle ABC, if (a-b)/(b-c)= (s-a)/(s-c), then r1,r2,r3 are in

    Text Solution

    |

  15. If AD, BE and CF are the medians of a ABC ,then (AD^(2)+BE^(2)+CF^(2))...

    Text Solution

    |

  16. In triangle ABC, line joining the circumcenter and orthocenter is para...

    Text Solution

    |

  17. In a triangle ABC, angle A = 30^(2), BC = 2 + sqrt5, then find the dis...

    Text Solution

    |

  18. If in triangle A B C ,sumsinA/2=6/5a n dsumI I1=9 (where I1,I2a n dI3 ...

    Text Solution

    |

  19. If in a triangle A B C , right angle at B ,s-a=3a n ds-c=2, then a=2,c...

    Text Solution

    |

  20. If H is the orthocentre of a triangle ABC, then the radii of the circl...

    Text Solution

    |