Home
Class 12
MATHS
In triangle A B C , let /c=pi/2dot If r ...

In triangle `A B C ,` let `/_c=pi/2dot` If `r` is the inradius and `R` is circumradius of the triangle, then `2(r+R)` is equal to

A

`c+a`

B

`a+b+c`

C

`a+b`

D

`b+c`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise PROPERTIES AND SOLUTIONS OF TRIANGLES EXERCISE 7 : SUBJECTIVE TYPE QUESTIONS|18 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

If R denotes circumradius, then in DeltaABC,(b^2-c^2)/(2aR) is equal to

AL, BM and CN are perpendicular from angular points of a triangle ABC on the opposite sides BC, CA and AB respectively. Delta is the area of triangle ABC, (r ) and R are the inradius and circumradius. If area of Delta LMN is Delta ', then the value of (Delta')/(Delta) is

In an equilateral triangle show that the in-radius and the circum-radius are connected by r =R/2.

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 underset( i=1)overset(oo)sum R_(i) , where R (circumradius) of DeltaABC is 5 is

Consider a triangle A B C 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 triangle is 15sqrt(3)dot If /_A C B is obtuse and if r denotes the radius of the incircle of the triangle, then the value of r^2 is

AL, BM and CN are perpendicular from angular points of a triangle ABC on the opposite sides BC, CA and AB respectively. Delta is the area of triangle ABC, (r ) and R are the inradius and circumradius. If perimeters of DeltaLMN and Delta ABC an lamda and mu, then the value of (lamda)/(mu) is

In Delta ABC, a=5, b=4, c=3. G is the centroid of triangle. If R_(1) be the circum radius of triangle GAB then the value of (a)/(65) R_(1)^(2) must be

If in a triangle of base 'a', the ratio of the other two sides is r ( <1).Show that the altitude of the triangle is less than or equal to (ar)/(1-r^2)

If 20C_(r+1)=^20C_(r-1) , then r is equal to:

Consider a triangle ABC, where x,y,z are the length of perpendicular drawn from the vertices of the triangle to the opposite sides a,b, c respectively. Let the letters R,r,S,Delta denote the circumradius, inradius semi-perimeter and area of the triangle respectively. The valur of (c sin B+b sin C)/(x)+ (a sin C +c sin A)/(y)+(b sin A+a sin B)/(z) is equal to

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. In a triangle the sum of two sides is x and the product of the same is...

    Text Solution

    |

  2. Consider a triangle A B C and let a , b and c denote the lengths of th...

    Text Solution

    |

  3. Solution of differential equation 2xy dy / dx = x^2 + 3y^2 is .

    Text Solution

    |

  4. Let PQR be a triangle of area Delta with a = 2, b = 7//2, and c = 5//2...

    Text Solution

    |

  5. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

    Text Solution

    |

  6. Let A B C be a triangle such that /A C B=pi/6 and let a , b and c deno...

    Text Solution

    |

  7. A triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  8. Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...

    Text Solution

    |

  9. A straight line through the vertex P of a triangle P Q R intersects th...

    Text Solution

    |

  10. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  11. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  12. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  13. Internal bisector of /A of triangle ABC meets side BC at D. A line dra...

    Text Solution

    |

  14. One angle of an isosceles triangle is 120^0 and the radius of its incr...

    Text Solution

    |

  15. In Delta ABC, which one is true among the following ?

    Text Solution

    |

  16. Let a vertical tower A B have its end A on the level ground. Let C be ...

    Text Solution

    |

  17. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |

  18. For a regular polygon, let r and R be the radii of the inscribed and t...

    Text Solution

    |

  19. In triangle A B C , let /c=pi/2dot If r is the inradius and R is circu...

    Text Solution

    |

  20. If in a DeltaABC, the altitudes from the vertices A, B, C on opposite ...

    Text Solution

    |