Home
Class 12
MATHS
If in a triangle (1-(r1)/(r2))(1-(r1)/(r...

If in a triangle `(1-(r_1)/(r_2))(1-(r_1)/(r_3))=2` then the triangle is right angled (b) isosceles equilateral (d) none of these

A

right angled

B

isosceles

C

equilateral

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|23 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise PROPERTIES AND SOLUTIONS OF TRIANGLES EXERSISE 1: SINGLE OPTION CORRECT TYPE QUESTIONS|1 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

If in a triangle (r)/(r_(1)) = (r_(2))/(r_(3)) , then

If in a triangle ABC, r_(1)+r_(2)+r_(3)=9r , then the triangle is necessarily

If r_1=r_2+r_3+r prove that the triangle is right angled .

If r_1=r_2+r_3+r prove that the triangle is right angled .

If in a triangle r_1=r_2+r_3+r , prove that the triangle is right angled.

If all the vertices of a triangle have integral coordinates, then the triangle may be (a) right-angle (b) equilateral (c) isosceles (d) none of these

If r_(1) +r_(2)+ r = r_(3), then show that Delta is right angled.

In a triangle ABC,if 1/r_1^2+1/r_2^2+1/r_3^2+1/r^2=

In triangle ABC, if r_(1)+r_(2)=3R and r_(2)+r_(3)=2R , then

prove that : triangle ABC, 1/r_1+1/r_2+1/r_3=1/r

ARIHANT MATHS ENGLISH-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
  1. In an ambiguoa ambiguous case of solving a triangleshen a = sqrt5,b =...

    Text Solution

    |

  2. If R(1) is the circumradius of the pedal triangle of a given triangle ...

    Text Solution

    |

  3. If in a triangle (1-(r1)/(r2))(1-(r1)/(r3))=2 then the triangle is rig...

    Text Solution

    |

  4. If the median AD of a triangle ABC makes an angle theta with side, AB,...

    Text Solution

    |

  5. In a Delta ABC, angles A, B, C are in AP. If f(x) = underset(A rarr c)...

    Text Solution

    |

  6. In Delta ABC, (a + b+ c) (b + c -a) = kbc if

    Text Solution

    |

  7. In DeltaABC, (a^(2)+b^(2))/(a^(2)-b^(2))=(sin(A+B))/(sin(A-B)), prove ...

    Text Solution

    |

  8. In a DeltaABC, sides a,b,c are inAP and (2)/(1!9!)+(2)/(3!7!)+(1)/(5!5...

    Text Solution

    |

  9. If a, b,c be the sides of a triangle ABC and if roots of equation a(b-...

    Text Solution

    |

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

    Text Solution

    |

  11. In any triangle ABC sum (sin^2A+sinA+1)/sinA is always greater than or...

    Text Solution

    |

  12. If the incircel of the triangle ABC, through it's circumcentre, then t...

    Text Solution

    |

  13. The perimeter of a triangle ABC is saix times the arithmetic mean of ...

    Text Solution

    |

  14. If there are only two linear functions f and g which map [1,2] on [4,6...

    Text Solution

    |

  15. A circle is inscribed in an equilateral triangle of side adot The area...

    Text Solution

    |

  16. In any triangle ABC, if sin A , sin B, sin C are in AP, then the maxim...

    Text Solution

    |

  17. In a DeltaABC, 2 cos A=(sin B)/(sin C) and 2 ^(tan^(2)B) is a solution...

    Text Solution

    |

  18. A triangle is inscribed in a circle. The vertices of the triangle divi...

    Text Solution

    |

  19. If a,b and c arethe sides of a traiangle such that b.c =lamda ^(2), th...

    Text Solution

    |

  20. In a triangle ABC, AD is the altitude from A. If b gt c. angleC = 23^(...

    Text Solution

    |