Home
Class 12
MATHS
If the line joining the circumcentre 'O'...

If the line joining the circumcentre 'O' and the incentre I is parallel to BC, then `cosB + cosC` =

A

`3//2`

B

1

C

`3//4`

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|45 Videos
  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET 1|10 Videos
  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|177 Videos
  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -D|14 Videos
  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC , if the straight line joining the circumcentre and incentre is parallel to BC then show that cos B + cos C = 1

In DeltaABC , the joining the circumcentre and incenre is parallel to BC then the value of cos B+cosC=

In triangle ABC, line joining the circumcenter and orthocenter is parallel to side AC, then the value of tanA tan C is equal to

Assertion (A) If (-1, 3, 2) and (5, 3, 2) are respectively the orthocentre and circumcentre of a triangle, then (3, 3, 2) is its centroid. Reason ( R ) Centroid of the triangle divides the line segment joining the orthocentre and the circumcentre in the ratio 1 : 2. Which one of the following is true ?

If the line joining the points (k, 1, 2), (3, 4, 6) is parallel to the line joining the points (-4, 3, -6), (5, 12, l) then (k, l) =

If the line joining the points A(4, 1, 2), B(5, x, 0) is parallel to the line joining the points P(2, 1, 1), Q(3, 3, -1) then x =

Show that the line joining the points P(0,1,2) and Q(3,4,8) is parallel to the line joining the points R(-2,(3)/(2),-3)andS((5)/(2),6,6)

DIPTI PUBLICATION ( AP EAMET)-PROPERTIES OF TRIANGLES -EXERCISE 1B
  1. In Delta ABC, if r1,r2,r3 are in H.P., then r2//r=

    Text Solution

    |

  2. In Delta ABC, if r1=r2=r3 then the triangle is

    Text Solution

    |

  3. In Delta ABC, if r r1=r2 r3, then the triangle is

    Text Solution

    |

  4. In Delta ABC the roots of the equation x^3-(r+4R)x^2+s^2x-s^2r=0 are

    Text Solution

    |

  5. In Delta ABC, if r1 lt r2 lt r3 then

    Text Solution

    |

  6. In Delta ABC, if 2r1=3r2=r3, then a:b:c=

    Text Solution

    |

  7. In Delta ABC, if 4r=3R then cos A+ cos B+ cos C=

    Text Solution

    |

  8. In Delta ABC is H is the orthocentre of Delta ABC and x= AH, y=BH, z=C...

    Text Solution

    |

  9. If the line joining the circumcentre 'O' and the incentre I is paralle...

    Text Solution

    |

  10. In Delta ABC, if 2R+r=r1 then the triangle is

    Text Solution

    |

  11. If A,A(1),A(2),A(3) are the areas of incircle and ex-circle of a trian...

    Text Solution

    |

  12. The ratio of the area of the incircle to the area of Delta ABC is

    Text Solution

    |

  13. If p(1),p(2),p(3) are altitudes of a DeltaABC then show that (1)/(...

    Text Solution

    |

  14. IF p1,p2,p3 are the lengths of the altitudes of a triangle from the ve...

    Text Solution

    |

  15. IF p1,p2,p3 are the lengths of the altitudes of a triangle from the ve...

    Text Solution

    |

  16. IF p1,p2,p3 are the lengths of the altitudes of a triangle from the ve...

    Text Solution

    |

  17. IF p1,p2,p3 are the lengths of the altitudes from the vertices of Delt...

    Text Solution

    |

  18. IF p1,p2,p3 are the lengths of the altitudes from the vertices of Delt...

    Text Solution

    |

  19. If in a triangle ABC, the altitudes from the A,B,C on opposite sides a...

    Text Solution

    |

  20. If Delta ABC, A' B' C' are such that B=B', A+A'=180^@, then aa'=

    Text Solution

    |