Home
Class 12
MATHS
If R denotes the circum-radius of a Delt...

If R denotes the circum-radius of a `Delta ABC`, then `(b^(2)-c^(2))/(2aR)` is equal to

A

`cos (B-C)`

B

`sin (B-C)`

C

`cos B- cos C`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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 R denotes circumradius,then in Delta ABC,(b^(2)-c^(2))/(2aR) is equal to

Let A(0,-1,1),B(0,0,1),C(1,0,1) are the vertices of a Delta ABC. If R and r denotes the circumradius and inradius of Delta ABC, then (r)/(R) has value equal to

If Delta denotes the area of DeltaABC , then b^(2) sin 2C + c^(2) sin 2B is equal to

In a Delta ABC ,the equation of the side BC is ,2x-y=3 and its circumcentre and orthocentre are (3,5) and (2,3) respectively. If R is the circum radius of Delta ABC then [R^(2)] is equal to (where [.] denotes (G.I.F)

In a triangle ABC , let angleC=(pi)/2 . If r is the in-radius and R is the circum-radius of the triangle , then 2 (r + R) is equal to

Consider a triangle ABC and let a , b , and c denote the lengths of the sides opposite to vertices A , B and C respectively. suppose a = 6 , b = 10 and the area of the triangle is 15sqrt3 . If angleACB is obtuse and if r denotes the radius of the in circle of the triangle , then r^(2) is equal to

If R be circum-radius of a Delta, then circum-radius of a pedal Delta is

In triangle ABC, let angle C = pi//2 . If r is the inradius and R is circumradius of the triangle, then 2(r + R) is equal to

MOTION-SOLUTION OF TRIANGLE-EXERCISE -1
  1. If in a triangle ABC, (cosA)/a=(cosB)/b=(cosC)/c,then the triangle is

    Text Solution

    |

  2. In a DeltaABC, (bc sin^2A)/(cos A + cos B cosC)is equal to

    Text Solution

    |

  3. If R denotes the circum-radius of a Delta ABC, then (b^(2)-c^(2))/(2aR...

    Text Solution

    |

  4. In a Delta A B C, if b+c=3a ,then cot(B/2)dotcot(C/2) has the value ...

    Text Solution

    |

  5. In triangle ABC, (b-c)sin A+(c-a) sin B+( a-b) sin C=

    Text Solution

    |

  6. In a Delta ABC, the value of (a cosA+b cosB+c cosC)/(a+b+c) is equal t...

    Text Solution

    |

  7. If, in a triangleABC, (a+b+c)(b+c-a)=kbc, then k lies in the interval

    Text Solution

    |

  8. In any DeltaABC, 2 (bc cos A + ca cos B + ab cos C) =

    Text Solution

    |

  9. In a A B C if b=2,c=sqrt(3) and /A=pi/6 , then value of R is equal to

    Text Solution

    |

  10. The distance between the middle point of BC and the foot of the perpen...

    Text Solution

    |

  11. In DeltaABC, if AB=5cm, BC=13cm and CA=12cm, then the distance to vert...

    Text Solution

    |

  12. In triangle ABC , prove that (b+c)cos A +(c+a)cos B +(a+b)cos C=a+b+c.

    Text Solution

    |

  13. (b-c)/acos^2 (A/2)+(c-a)/bcos^2(B/2)+(a-b)/c cos^2(C/2)=

    Text Solution

    |

  14. Prove that bc cos^(2).(A)/(2) + ca cos^(2).(B)/(2) + ab cos^(2).(C)/(2...

    Text Solution

    |

  15. In a triangleABC, [tan(A/2) tan(C/2)] is equal to

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |