Home
Class 11
MATHS
In a triangle the sum of two sides is x ...

In a triangle the sum of two sides is x and the product of the same is y. If `x^2 - c^2 = y` where c is the third side. Determine the ration of the in-radius and circum-radius

Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (S-1)|44 Videos
  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise Do yourself -6|4 Videos

Similar Questions

Explore conceptually related problems

In a triangle the sum of two sides is x and the product of the same is y.If x^(2)-c^(2)=y where cis the third side.Determine the ration of the in-radius and circum-radius

In a triangle the sum of two sides is x and the product of the same two sides is y .If x^(2)-c^(2)=y , where c is the third side of the triangle , then the ratio of the in-radius to the circum-radius of the triangle is

In a triangle, the sum of lengths of two sides is x and the product of the lengths of the same two sides is y. If x^2-c^2=y , where c is the length of the third side of the triangle, then the circumradius of the triangle is c/sqrtk . The value of k is _________.

In a triangle the sum of lengths of two sides sides x and the product of the lengths of the saem two sides is y. if x^(2)-c^(2)=y , where c is the length of the third side of then triangle, then the circumradius of the triangle is

If the sides of the triangle are the roots of the equation x^(3)-2x^(2)-x-16 =0, then the product of the in-radius and circum-radius of the triangle ,is

A right triangle has hypotenuse x cm and one side of length y cm . If x-y=1 cm , find the length of the third side of the triangle.

The sum of ny two sides of a triangle is greater than third side.

If angle A of triangle ABC is 30^(@) and the circum-radius of the triangle is 10 cm, then what is the length of side BC ?

Statement-1: If the lengths of two sides of a triangle are roots of the equation x^(2)-12x+35 =0 and the angle opposite to third side is obtuse, then the square of the length of the third side is greater than 74. Statement- 2: In a !ABC,cosC=(a^(2)+b^(2)-c^(2))/(2ab)

ALLEN-SOLUTION AND PROPERTIES OF TRIANGLE-All Questions
  1. In a Delta ABC, GA,GB,GC makes angles alpha, beta, gamma with each oth...

    Text Solution

    |

  2. In a DeltaABC, the median to the side BC is of length 1/sqrt(11-6sqrt...

    Text Solution

    |

  3. Prove that : (r1)/(b c)+(r2)/(c a)+(r3)/(a b)=1/r-1/(2R)

    Text Solution

    |

  4. Prove that : (tanA/2)/((a-b)(a-c))+(tanB/2)/((b-a)(b-c))+(tanC/2)/((c-...

    Text Solution

    |

  5. Prove that in a triangle (b c)/(r1)+(c a)/(r2)+(a b)/(r3)=2R\ [(a/b+b...

    Text Solution

    |

  6. In a triangle, if the angles A , B ,a n dC are in A.P. show that 2cos1...

    Text Solution

    |

  7. In a scalene triangle ABC the altitudes AD & CF are dropped from the v...

    Text Solution

    |

  8. Let a, b, c be the sides of a triangle & Delta its area. Prove that a^...

    Text Solution

    |

  9. If in a triangle of base 'a', the ratio of the other two sides is r ( ...

    Text Solution

    |

  10. If Delta is the area of a triangle with side lengths a, b, c, then s...

    Text Solution

    |

  11. Which of the following pieces of data does NOT uniquely determine an ...

    Text Solution

    |

  12. If a ,b ,c are the sides of a triangle such that a : b : c=1:sqrt(3...

    Text Solution

    |

  13. If a ,b ,c denote the lengths of the sides of a triangle opposite t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Let P Q R be a triangle of area with a=2,b=7/2,a n dc=5/2, w h e r ea...

    Text Solution

    |

  19. In a triangle PQR, P is the largest angle and cosP=1/3. Further the in...

    Text Solution

    |

  20. In a triangle the sum of two sides is x and the product of the same is...

    Text Solution

    |