Home
Class 12
MATHS
In a triangle ABC , the line joining the...

In a triangle ABC , the line joining the circumcentre and incentre is parallel to BC, then Cos B + Cos C is equal to:

A

`3/2`

B

1

C

`3/4`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|24 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|15 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise PROPERTIES AND SOLUTIONS OF TRIANGLES EXERSISE 1: SINGLE OPTION CORRECT TYPE QUESTIONS|1 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

In triangle ABC, line joining the circumcenter and orthocentre is parallel to side AC, then the value of t a n AtanCi se q u a lto sqrt(3) (b) 3 (c) 3sqrt(3) (d) none of these

In a triangle, cosec A (sin B cos C + cos B sin C) is equal to :

If the incircel of the triangle ABC, through it's circumcentre, then the cos A + cos B + cos C is

In a triangle, sec A (cos B cos C-sin B sin C) is equal to :

In Delta ABC it is given distance between the circumcentre (O) and orthocentre (H) is R sqrt(1-8 cos A cos B cos C) . If Q is the midopoint of OH, then AQ is

The sides of a triangle are in AP. If the angles A and C are the greatest and smallest angle respectively, then 4 (1- cos A) (1-cos C) is equal to

If in a triangle ABC, cos3A+cos3B+cos3C=1 , then one angle must be exactly equal to

In any triangle ABC, then by vectors, prove that : a=b cos C+c cos B .

ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that MD _|_ AC .

In a Delta ABC the equation of the side BC is 2x-y =3 and its circumcentre and orthocentre are (2,4) and (1,2) respetively . sin B.sin C=

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
  1. If there are only two linear functions f and g which map [1,2] on [4,6...

    Text Solution

    |

  2. A circle is inscribed in an equilateral triangle of side adot The area...

    Text Solution

    |

  3. In any triangle ABC, if sin A , sin B, sin C are in AP, then the maxim...

    Text Solution

    |

  4. In a DeltaABC, 2 cos A=(sin B)/(sin C) and 2 ^(tan^(2)B) is a solution...

    Text Solution

    |

  5. Differentiate the following w.r.t x sin^(-1)(x^(3/2))

    Text Solution

    |

  6. If a,b and c arethe sides of a traiangle such that b.c =lamda ^(2), th...

    Text Solution

    |

  7. Differentiate the following w.r.t x cos(acosx + bsinx) , for som...

    Text Solution

    |

  8. In triangle ABC, a=5, b=4 and cos(A+B)=(31)/(32) In this triangle,c=

    Text Solution

    |

  9. In a A B C ,ifA B=x , B C=x+1,/C=pi/3 , then the least integer value ...

    Text Solution

    |

  10. In an equilateral triangle, three coins of radii 1 unit each are kept ...

    Text Solution

    |

  11. Differentiate the following w.r.t x 2x^((x^4-3))

    Text Solution

    |

  12. Differentiate the following w.r.t x x^x + a^a

    Text Solution

    |

  13. In a triangle ABC , the line joining the circumcentre and incentre is ...

    Text Solution

    |

  14. In the given figure, AB is the diameter of the circle, centered at O. ...

    Text Solution

    |

  15. In a triangle ABC, AD, BE and CF are the altitudes and R is the circum...

    Text Solution

    |

  16. Find dy/dx , If x = a(sint - t cost) and y = a(cost + t sint)

    Text Solution

    |

  17. Differentiate the following w.r.t x (x-4)^(x^3)

    Text Solution

    |

  18. Find dy/dx , if x = 6(t-sint) , y= 4(1-cost)

    Text Solution

    |

  19. Using the fact that cos (A + B) = cosA cosB - sinA sin B and the diffe...

    Text Solution

    |

  20. Find dy/dx , if y = sin^(-1)(1-x^2)^(1/2)

    Text Solution

    |