Home
Class 12
MATHS
IF the area of the triangle ABC is a^2-(...

IF the area of the triangle ABC is `a^2-(b-c)^2`, then its circumradius R=

A

`(a//6) sin^2(A//2)`

B

`(a//16) cosec^2 (A//2)`

C

`(b//16)sin^2 (B//2)`

D

`(c//16)sin^2 (C//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 1B|111 Videos

  • 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-4|10 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

Area of triangle ABC is a^(2) - (b-c)^(2) then tan A =

If the area of triangle ABC is b^(2) - (c - a)^(2) then tan B=

In Delta ABC, if a=5, A=30^@ , then the circumradius is

The radii r_(1),r_(2),r_(3) of the escribed circles of the triangle ABC are in H.P. If the area of the triangle is 24cm and its perimeter is 24 cm, then the length of its largest side is

If R is the circumradius of equilateral traingle DeltaABC then circumradius of the ex-central triangle is equal to

If R_(1) is the circumradius of the pedal triangle of a given triangle ABC, and R_(2) is the circumradius of the pedal triangle of the pedal triangle formed, and so on R_(3), R_(4) …… then the value of sum_(i=1)^(infty) R_(i) , where R (circumradius) of Delta ABC is 5 is

If Delta =a^2-(b-c)^2 , is the area of the triangle ABC, then tan A=

If H is the orthocentre of triangle ABC, R = circumradius and P=AH+BH+CH, then

If Delta is the area of triangle whose sides are a,b,c then the area of the triangle with 2a,2b,2c as the sides is

DIPTI PUBLICATION ( AP EAMET)-PROPERTIES OF TRIANGLES -EXERCISE 1A
  1. IF the perimeter of a triangle is 12 times the arithmetic mean of the ...

    Text Solution

    |

  2. In Delta ABC, if b=c=R then A=

    Text Solution

    |

  3. IF the area of the triangle ABC is a^2-(b-c)^2, then its circumradius ...

    Text Solution

    |

  4. If Delta =a^2-(b-c)^2, is the area of the triangle ABC, then tan A=

    Text Solution

    |

  5. IF the sides of a triangle are 7,4sqrt3,sqrt13 then its smallest angle...

    Text Solution

    |

  6. In Delta ABC, if cot""A/2: cot""B/2:cot ""C/2=1:4:15, then the greates...

    Text Solution

    |

  7. IF x^2+x+1,2x+1,x^2-1 are the sides of a triangle then its largest ang...

    Text Solution

    |

  8. If the sides of a triangle are in the ratio x:y:sqrt(x^2+xy+y^2), then...

    Text Solution

    |

  9. The sides of a triangle are sin alpha,cos alpha and sqrt(1+sin alpha c...

    Text Solution

    |

  10. The smallest angle of the triangle whose sides are 6+sqrt12,sqrt48,sqr...

    Text Solution

    |

  11. IF the angles of a triangle are in the ratio 2:3:5, then the ratio of ...

    Text Solution

    |

  12. If the angles of a right angled triangle are in A.P then the sides are...

    Text Solution

    |

  13. IF the angles of a triangle are in the ratio 1:2:3, the corresponding ...

    Text Solution

    |

  14. If the angles of a triangle are in the ratio 1:2:7, then the ratio of ...

    Text Solution

    |

  15. The angles of a triangle are in the ratio 3:5:10. Then the ratio of th...

    Text Solution

    |

  16. IF the angles of triangle are in the ratio 1:1:4 then the ratio of the...

    Text Solution

    |

  17. In Delta ABC, if sin^2 A+sin^2 B=sin^2 C, then C=

    Text Solution

    |

  18. In Delta ABC, sin A: sin B: sin C is

    Text Solution

    |

  19. The sides of a right angled triangle are in A.P then they are in the r...

    Text Solution

    |

  20. The circumcentre of a triangle lies with in the triangle only when the...

    Text Solution

    |