Home
Class 12
MATHS
In DeltaABC, angle C = 2 angle A, and AC...

In `DeltaABC, angle C = 2 angle A, and AC = 2BC`, then the value of `(a^(2) + b^(2) c^(2))/(R^(2))` (where R is circumradius of triangle) is ______

Text Solution

Verified by Experts

The correct Answer is:
8
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|21 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|25 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 DeltaABC , if r = 1, R = 3, and s = 5 , then the value of a^(2) + b^(2) + c^(2) is _____

In DeltaABC, angleC=2angle A and AC=2BC. Then which of the following is/are True ?

Find the value of (a^(2)+b^(2)+c^(2))/(R^(2)) in any right- angled triangle.

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

If the area of the triangle ABC is a^(2)-(b-c)^(2) then its circumradius R is

In a triangle ABC, angle B = 2 angle C = 2 angle A . What is the ratio of AC to AB ?

lf in DeltaABC,b^(2)sin 2C + c^(2) sin 2B = 2bc,then the triangle is

In triangle ABC, R (b + c) = a sqrt(bc) , where R is the circumradius of the triangle. Then the triangle is

If 8R^(2)=a^(2) +b^(2) +c^(2). then prove that the Delta is right angled.

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

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Integer Answer Type Questions)
  1. If in Delta ABC, / C=pi/8, a= sqrt2 and b= sqrt(2+sqrt2) then find the...

    Text Solution

    |

  2. If in A B C ,A=pi/7,B=(2pi)/7,C=(4pi)/7 then a^2+b^2+c^2 must be R^2 ...

    Text Solution

    |

  3. If A, B, C the angles of an acute angled Delta ABCand D=|{:((tan B+ ta...

    Text Solution

    |

  4. In a DeltaABCP and Q are the mid-point or AB and AC, respectively. If ...

    Text Solution

    |

  5. With usual notation in Delta ABC, the numerical value of ((a+b+c)/(r...

    Text Solution

    |

  6. D is midpoint of BC in Delta ABC such that AD and AC are perpendicular...

    Text Solution

    |

  7. In a triangle ABC, medians AD and CE are drawn. If AD=5, angle DAC=pi/...

    Text Solution

    |

  8. In Delta ABC, (r )/(r(1))=1/2, then the valur of 16 (sum tan ((A)/(2))...

    Text Solution

    |

  9. In a DeltaABC, the maximum value of 120((sum a cos ^(2)((A)/(2)))/(a+...

    Text Solution

    |

  10. The sides of a triangle arr three consective natural numbers and its l...

    Text Solution

    |

  11. In DeltaABC, angle C = 2 angle A, and AC = 2BC, then the value of (a^(...

    Text Solution

    |

  12. If a, b and A are given in a triangle and c(1), c(2) are possible valu...

    Text Solution

    |

  13. In triangle ABC, a=5, b=4, c=3. G is the centroid of trianggle. If R(...

    Text Solution

    |

  14. A triangle A B C is inscribed in a circle with centre at O , The lines...

    Text Solution

    |

  15. In Delta ABC, a ge b ge c and if (a^(3) +b^(2)+ c^(2))/(sin ^(3) A sin...

    Text Solution

    |

  16. In a cyclic quadrilateral PQRS, PQ= 2 units, QR= 5 units, RS=3 units ...

    Text Solution

    |