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|Exercise Exercise (More Than One Correct Option Type Questions)|24 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|15 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 8|5 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 triangle ABC,If(1-(r)/(r_(2)))(1-(r_(2))/(r_(3)))=2 then the triangle is

In triangle ABC,if (1-(r_(1))/(r_(2)))(1-(r_(2))/(r_(3)))=2 then the triangle is

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

In any triangle ABC if 2cos B=(a)/(c), then the triangle is(A) Right angled (C) Isosceles (B) Equilateral (D) None of these

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

If in any triangle r=r _(1) - r_(2) - r_(3), then the triangle is

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 triangle is right angled.

ARIHANT MATHS-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 R1 is the circumradius of the pedal triangle of a given triangle A ...

    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 DeltaABC, angles A,B,C are in AP, then lim(AtoC)(sqrt(3-4A sinC))...

    Text Solution

    |

  6. In a triangle ABC, (a+b+c)(b+c-a)=lambdabc if

    Text Solution

    |

  7. In the triangle ABC, if (a^(2)+b^(2)) sin (A-B)=(a^(2) -b^(2)) sin (A+...

    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 foi 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 are the sides of a traiangle such that b.c =lamda ^(2), t...

    Text Solution

    |

  20. In a triangle ABC, AD is the altitude form- abcA (Fig. 12.9). Given b...

    Text Solution

    |