Home
Class 11
MATHS
If r(1)^(2)=r1r(2)+r(2)r(3)+r(3)r(1) the...

If `r_(1)^(2)=r_1r_(2)+r_(2)r_(3)+r_(3)r_(1)` then the triangle is

A

`60^(@)`

B

`90^(@)`

C

`30^(@)`

D

`120^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - IV (Straight Objective Type Question)|38 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - IV (More than one correct answer Type Questions)|3 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - II(Linked comprehension Type Questions)|18 Videos

  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

Similar Questions

Explore conceptually related problems

( r_1+ r_2) (r_2+r_3) (r_3+r_1) =

r_1^(2) = r_1r_2+ r_2r_3 +r_3r_1 triangle is

In Delta ABC , if (1- (r_1)/(r_2)) (1- ( r_1)/( r_3)) = 2, then the triangle is

(r_(1)-r)(r_(2)-r)(r_(3)-r)=

If r_1 = r_2 = r_3 then triangle is

If (r)/(r_(2))=(r_(1))/(r_(3)) then

In DeltaABC,if(1-r_1/r_2)(1-r_1/r_3)=2 then the triangle is

In Delta ABC, if r r_1=r_2 r_3 , then the triangle is

r+r_(3)+r_(1)-r_(2)=

If in a DeltaABC,r_(1)=2r_(2)=3r_(3) , then the perimeter of the triangle is equal to

AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - III (Straight Objective Type Question)
  1. In a triangle if r(1)=2r(2)=3r(3), then (a)/(b)+(b)/(c)+(c)/(a)=

    Text Solution

    |

  2. In DeltaABC=(b-c)/(r(1))+(c-a)/(r(2))+(a-b)/(r(3))=

    Text Solution

    |

  3. If r(1)^(2)=r1r(2)+r(2)r(3)+r(3)r(1) then the triangle is

    Text Solution

    |

  4. If in a triangle PQR , sin P, sin Q, sin R are in A.P., then

    Text Solution

    |

  5. In a traingle ABC,. (r(1)-r)/(a)+(r(2)-r)/(b)+(r(3)-r)/(c)=

    Text Solution

    |

  6. Statement-I In a DeltaABC if a lt b lt c and tau is inradius and r(...

    Text Solution

    |

  7. If R+r=r(3) then C=

    Text Solution

    |

  8. In a DeltaABC if r1=8,r2=12,r3=24 find a,b,c.

    Text Solution

    |

  9. If the angle of tangents from vertices to Incircle are H.P then r(1),r...

    Text Solution

    |

  10. In Delta ABC , if (1- (r1)/(r2)) (1- ( r1)/( r3)) = 2, then the tria...

    Text Solution

    |

  11. In a triangle ABC let angle C=pi//2. If r is the inradius and R is the...

    Text Solution

    |

  12. Statement-I : If side BC and radiu of r(2)a nd r(3) of an acute angled...

    Text Solution

    |

  13. If alpha, beta, gamma are lenghts of internal bisectors of angles A,B,...

    Text Solution

    |

  14. If Delta is the area of a triangle with side lengths a , b , and c , ...

    Text Solution

    |

  15. A circle is inscribed in an equilateral triangle of side a, The area o...

    Text Solution

    |

  16. 3 - Circles with radii a, b, c touch one another externally tangents a...

    Text Solution

    |

  17. Delta^("le") ABC is equilateral triangle of side a.P lies on BA such t...

    Text Solution

    |

  18. A triangle has sides 6,7 and 8. The line through its incentre parallel...

    Text Solution

    |

  19. If p(1), p(2), p(3) are respectively the perpendiculars from the verti...

    Text Solution

    |

  20. If P(1),P(2),P(3) are altitudes of a DeltaABC then show that (1)/...

    Text Solution

    |