Home
Class 11
MATHS
In a right - angled isosceles triangle ,...

In a right - angled isosceles triangle , the ratio of the circumradius and inradius is

A

`2(sqrt(2) +1):1`

B

`(sqrT(2)+1):1`

C

`2:1`

D

`sqrt(2):1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE-II|11 Videos

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE (O-1)|11 Videos

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise Illustration|27 Videos

  • SOLUTION AND PROPERTIES OF TRIANGLE

    ALLEN|Exercise All Questions|62 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

In a right angled isoceles triangle,the ratio of the circumradius and inradius is

The area of the right angled triangle in terms of its circum radius and inradius is

In a right-angled isosceles triangle, the measures of the angles are _______.

For an equilateral triangle, the ratio of the inradius and the outer-radius is

If ratio of sides of a triangle are 4 : 5 : 6 then what is the ratio of circumradius and inradius ?

A non right angle bisector of a right angled isosceles triangle divide the triangle in those two parts, whose area are in the ratio.

If the perimeter of a right angled isosceles triangle is (6 + 3 sqrt(2)) m, then the area of the triangle will be

In an equilateral triangle,the in-radius and circumradius are in the ratio

In a triangle A B C , if a : b : c=4:5:6 , then ratio between its circumradius and inradius is (16)/7 (b) (16)/9 (c) 7/(16) (d) (11)/7

ALLEN-Solutions of Triangle & Binomial Theorem-EXERCISE-I
  1. In Delta ABC if (a+b+c) ( a-b+c)= 3ac, Then find angle B

    Text Solution

    |

  2. The perimeter of atriangle ABC is 6 times the arihmetic mean of the si...

    Text Solution

    |

  3. If in A B C ,A C is double of A B , then the value of (cotA)/2cot(B-C...

    Text Solution

    |

  4. In Delta ABC a =5 ,b=3 ,c=7 .Then value of 3coC +7 cos B is equal :-

    Text Solution

    |

  5. In triangle ABC, of r(1)= 2r(2)=3r(3) Then a:b is equal :-

    Text Solution

    |

  6. In any Delta ABC , cot(A/2),cot(B/2),cot(C/2) are in A.P., then

    Text Solution

    |

  7. In Delta ABC of a :b:c= 7 : 8: 9 .Then cos A : cos B is equal to :-

    Text Solution

    |

  8. The ratio of the area of a regular polygon of n sides inscribed in a c...

    Text Solution

    |

  9. In Delta ABC anlge A = (pi)/(6) & b:c= 2: sqrt(3) "then " angle B is

    Text Solution

    |

  10. In a triangle ABC a= 4 , b= 3 , angle A =60 ^@ ,Then c is root of equ...

    Text Solution

    |

  11. In a right - angled isosceles triangle , the ratio of the circumradius...

    Text Solution

    |

  12. The exradii of a triangle r(1),r(2),r(3) are in HP , then the sides a,...

    Text Solution

    |

  13. Given b=2 , c= sqrt(3), angle A= 30^@ then inradius of Delta ABC is :-

    Text Solution

    |

  14. In a triagnle ABC, angle B=pi/3 " and " angle C = pi/4 let D divide ...

    Text Solution

    |

  15. If sin theta and - cos theta are the roots of the equation ax^2-bx-...

    Text Solution

    |

  16. If A=75^0,b=45^0, then prove that b+csqrt(2)=2a

    Text Solution

    |

  17. In equilateral triangle , ratio os inradius ,circum radii and exadii i...

    Text Solution

    |

  18. Value of 1/(r(1)^2)+ 1/(r(2)^2)+ 1/(r(3)^2)+ 1/(r()^2) is :

    Text Solution

    |

  19. In Delta ABC , a= 6 ,b=3 and cos (A-B) = 4/5 .Then are of triangle i...

    Text Solution

    |

  20. In a triangle ABC, (2cosA)/(a) +(cosB)/(b) +(2cosC)/(c ) = a/(bc) +b/(...

    Text Solution

    |