Home
Class 11
MATHS
Value of 1/(r(1)^2)+ 1/(r(2)^2)+ 1/(r(3...

Value of `1/(r_(1)^2)+ 1/(r_(2)^2)+ 1/(r_(3)^2)+ 1/(r_()^2)` is :

A

0

B

`(a^2+b^2+c^2)/(Delta^2)`

C

`(Delta^2)/(a^2+b^2+c^2)`

D

`(a^2+b^2+c^2)/(Delta)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE-II|11 Videos

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE (O-1)|11 Videos

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise Illustration|27 Videos

  • SOLUTION AND PROPERTIES OF TRIANGLE

    ALLEN|Exercise All Questions|62 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

The value of 1/(r_(1)^(2))+1/(r_(2)^(2))+1/(r_(2)^(3))+1/(r^(2)) , is

In a triangleABC , if 1/r^(2) + 1/r_(1)^(2) + 1/r_(2)^(2) + 1/r_(3)^(2) = (a^(2) + b^(2) + c^(2))/(Delta^(n)) , then n is equal to ………..

In a triangle ABC,if (1)/(r_(1)^(2))+(1)/(r_(2)^(2))+(1)/(r_(3)^(2))+(1)/(r^(2))=

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

In triangleABC , If r_(1), r_(2), r_(3) are exradii opposites to angles A,B and C respectively. Then (1/r_(1) +1/r_(2)) (1/r_(2)+1/r_(3)) (1/r_(3)+1/r_(1)) is equal to

Let r_(1),r_(2),r_(3) be the three (not necessarily distinct) solution to the equation x^(3)+4x^(2)-ax+1=0. If a can be any real number,then find the minimum value of (r_(1)+(1)/(r_(1)))^(2)+(r_(2)+(1)/(r_(2)))^(2)+(r_(3)+(1)/(r_(3)))^(2)

Prove that a triangle is right angled if (1-(r_(1))/(r_(2)))(1-(r_(1))/(r_(3))) = 2

If r,r_(1) ,r_(2), r_(3) have their usual meanings , the value of 1/(r_(1))+1/(r_(2))+1/(r_(3)) , is

Show that ((1)/(r _(1))+ (1)/(r_(2)))((1)/(r_(2))+(1)/(r _(3)))((1)/(r _(3))+(1)/(r_(1)))=(64 R^(3))/(a ^(2)b^(2) c^(2))

ALLEN-Solutions of Triangle & Binomial Theorem-EXERCISE-I
  1. In Delta ABC if (a+b+c) ( a-b+c)= 3ac, Then find angle B

    Text Solution

    |

  2. The perimeter of atriangle ABC is 6 times the arihmetic mean of the si...

    Text Solution

    |

  3. If in A B C ,A C is double of A B , then the value of (cotA)/2cot(B-C...

    Text Solution

    |

  4. In Delta ABC a =5 ,b=3 ,c=7 .Then value of 3coC +7 cos B is equal :-

    Text Solution

    |

  5. In triangle ABC, of r(1)= 2r(2)=3r(3) Then a:b is equal :-

    Text Solution

    |

  6. In any Delta ABC , cot(A/2),cot(B/2),cot(C/2) are in A.P., then

    Text Solution

    |

  7. In Delta ABC of a :b:c= 7 : 8: 9 .Then cos A : cos B is equal to :-

    Text Solution

    |

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

    Text Solution

    |

  9. In Delta ABC anlge A = (pi)/(6) & b:c= 2: sqrt(3) "then " angle B is

    Text Solution

    |

  10. In a triangle ABC a= 4 , b= 3 , angle A =60 ^@ ,Then c is root of equ...

    Text Solution

    |

  11. In a right - angled isosceles triangle , the ratio of the circumradius...

    Text Solution

    |

  12. The exradii of a triangle r(1),r(2),r(3) are in HP , then the sides a,...

    Text Solution

    |

  13. Given b=2 , c= sqrt(3), angle A= 30^@ then inradius of Delta ABC is :-

    Text Solution

    |

  14. In a triagnle ABC, angle B=pi/3 " and " angle C = pi/4 let D divide ...

    Text Solution

    |

  15. If sin theta and - cos theta are the roots of the equation ax^2-bx-...

    Text Solution

    |

  16. If A=75^0,b=45^0, then prove that b+csqrt(2)=2a

    Text Solution

    |

  17. In equilateral triangle , ratio os inradius ,circum radii and exadii i...

    Text Solution

    |

  18. Value of 1/(r(1)^2)+ 1/(r(2)^2)+ 1/(r(3)^2)+ 1/(r()^2) is :

    Text Solution

    |

  19. In Delta ABC , a= 6 ,b=3 and cos (A-B) = 4/5 .Then are of triangle i...

    Text Solution

    |

  20. In a triangle ABC, (2cosA)/(a) +(cosB)/(b) +(2cosC)/(c ) = a/(bc) +b/(...

    Text Solution

    |