Home
Class 12
MATHS
Prove that the distance of the incentre ...

Prove that the distance of the incentre of `Delta ABC` from A is 4R sin B/2 sin C/2.

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|35 Videos
  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos
  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos
  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos
  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advance ( Archive )|20 Videos

Similar Questions

Explore conceptually related problems

In any Delta ABC, sum a(sin B - sin C) =

In a Delta ABC, show that 2R^(2) sin A sin B sin C=Delta.

In any Delta ABC, sum a sin (B -C) =

Prove that a^(2) sin 2B + b^(2) sin 2A = 4 Delta

The distance of incentre of the right-angled triangle ABC (right angled at A) from B and C are sqrt10 and sqrt5 , respectively. The perimeter of the triangle is _____

In Delta ABC , if a = 3, b = 4 and sin B = 1 , find sin A

Prove that a cos A + b cos B + c cos C = 4 R sin A sin B sin C.

If A, B, C are the angles of a triangle, then the determinant Delta = |(sin 2 A,sin C,sin B),(sin C,sin 2B,sin A),(sin B,sin A,sin 2 C)| is equal to

If in a triangle ABC sin A = 4/5 and sin B = 12/13 , then sin C =

If a/(sinA)=K , then the area of "Triangle ABC" in terms of K and sines of the angles is (K^2)/4sin A sin B sin C (b) (K^2)/2sin A sin B sin C 2K^2sin A sin B "sin"(A+B) (d) none

VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-Level - 2
  1. Prove that (r(2) + r(3))/(1 + cos A) = (r(3) + r(1))/(1 + cos B) =...

    Text Solution

    |

  2. If the lengths of the perpendiculars from the vertices of a triangle A...

    Text Solution

    |

  3. Prove that the distance of the incentre of Delta ABC from A is 4R si...

    Text Solution

    |

  4. The sides of a triangle are three consecutive natural numbers and its ...

    Text Solution

    |

  5. If A, A(1), A(2), A(3) are the areas of the inscribed and escribed of ...

    Text Solution

    |

  6. If in a triangle, (1-(r(1))/(r(2))) (1 - (r(1))/(r(3))) = 2, then the ...

    Text Solution

    |

  7. In a triangle Delta ABC, prove the following : 2 abc cos.(A)/(2) co...

    Text Solution

    |

  8. In a triangle Delta ABC, prove the following : (tan A//2)/((a-b)(a-...

    Text Solution

    |

  9. If the angle opf a triangle are in the ratio 1:2:3, then show that the...

    Text Solution

    |

  10. If a cosA=b cos B, then prove that either the triangle is isosceles or...

    Text Solution

    |

  11. If in Delta ABC, c(a+b) cos ""1/2 B=b (a+c) cos ""1/2 C, the triangle ...

    Text Solution

    |

  12. Let A, B be two points on the bank of a straight river, and C, D point...

    Text Solution

    |

  13. In the ambiguous case, it two triangles are formed with a, b, A, then ...

    Text Solution

    |

  14. If x=2/3 and x=-3 are the roots of the equation a x^2+7x+b=0, find the...

    Text Solution

    |

  15. Statement I In a Delta ABC, if a lt b lt c and r is inradius and r(1) ...

    Text Solution

    |

  16. Statement I If the sides of a triangle are 13, 14 15 then the radius o...

    Text Solution

    |

  17. Statement I In a DeltaABC, sum (cos ^(2)""(A)/(2))/(a ) has the value...

    Text Solution

    |

  18. If the sides of a triangle are in A.P., and its greatest angle exceeds...

    Text Solution

    |

  19. If r(1), r(2) ,r(3) are the ex-radii of DeltaABC, then prove that (b...

    Text Solution

    |

  20. If r and R are radii of the incircle and circum-circle of DeltaABC, t...

    Text Solution

    |