Home
Class 11
MATHS
If A, A(1),A(2),A(3) are areas of excirc...

If `A, A_(1),A_(2),A_(3)` are areas of excircles and incircle of a triangle, then `(1)/(sqrt(A_(1)))+(1)/(sqrt(A_(2)))+(1)/(sqrt(A_(3)))=`

A

`(2)/(sqrt(A))`

B

`(3)/(sqrt(A))`

C

`(1)/(sqrt(A))`

D

`(4)/(sqrt(A))4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III) (LEVEL-II) (Straight Objective Type Questions)|39 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III) (LEVEL-II) (More than one correct answer Type Questions)|5 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-II) (LEVEL-II) (Straight Objective Type Questions)|39 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

If A,A_(1),A_(2),A_(3) are the areas of incircle and ex-circle of a triangle respectively then prove that (1)/(sqrt(A_(1)))+(1)/(sqrt(A_(2)))+(1)/(sqrt(A_(3)))=(1)/(sqrt(A))

If a_(1), a_(2), a_(3),…..a_(n) are in A.P where a_(i) gt 0, AA I then (1)/(sqrt(a_(1)) + sqrt(a_(2))) + (1)/(sqrt(a_(2)) + sqrt(a_(3)))+ …+ (1)/(sqrt(a_(n-1)) + sqrt(a_(n))) = (k)/(sqrt(a_(1)) + sqrt(a_(n))) then k=

If a_(1), a_(2) …… a_(n) are in A.P then (sqrt(a_(1)) + sqrt(a_(n)))/( sqrt(a_(1)) + sqrt(a_(2))) + (sqrt(a_(1)) + sqrt(a_(n)))/(sqrt(a_(2)) + sqrt(a_(3))) + ….. + (sqrt( a_(1)) + sqrt(a_(n)))/( sqrt(a_(n - 1)) + sqrt(a_(n))) =

If a_(1),a_(2),a_(3),...a_(n) are in A.P. with common difference d, then tan[tan^(-1)((d)/(1+a_(1)a_(2)))+tan^(-1)((d)/(1+a_(2)a_(3)))+,....+tan^(-1)((d)/(1+a_(n-1)a_(n)))]=

If a_(1),a_(2),a_(3),....,a_(n) is an A.P. with common difference d, then tan[Tan^(-1)(d/(1+a_(1)a_(2)))+Tan^(-1)(d/(1+a_(2)a_(3)))+...Tan^(-1)(d/(1+a_(n-1)a_(n)))=

If the coefficients of 4 consecutive terms in the expansion of (1+x)^(n) are a_(1),a_(2),a_(3),a_(4) respectively, then show that (a_(1))/(a_(1)+a_(2))+(a_(3))/(a_(3)+a_(4))=(2a_(2))/(a_(2)+a_(3))

If diagA=[a_(1),a_(2),a_(3)] , then for any integer n ge 1 show that A^(n) = diag[a_(1)^(n), a_(2)^(n), a_(3)^(n)]

If a_(1), a_(2), a_(3), a_(4) are the coefficients of the 2^(nd), 3^(rd), 4^(th) and 5^(th) terms respectively in the binomial expansion of (1+x)^(n) where n is a positive integer prove that (a_(1))/(a_(1)+a_(2)) , (a_(2))/(a_(2)+a_(3)) , (a_(3))/(a_(3)+a_(4)) are in arithmetic progression.

AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE SHEET (EXERCISE-III) (LEVEL-I) (Straight Objective Type Questions)
  1. In DeltABC, if sqrt(3)r+a= sqrt(3)r+b=s then the triangle is

    Text Solution

    |

  2. In DeltaABC right angled at A cos^(-1)((R)/(r(1)+r(3))) is

    Text Solution

    |

  3. If A, A(1),A(2),A(3) are areas of excircles and incircle of a triangle...

    Text Solution

    |

  4. If 2R+r=r(1) then

    Text Solution

    |

  5. If r(1)=8, r(2)= 12r(3)=24 then C=

    Text Solution

    |

  6. The ratio between the circumradius and invadius of a right angled isos...

    Text Solution

    |

  7. Prove that (r(1)(r(2)+r(3)))/(sqrt(r(1)r(2)+r(2)r(3)+r(3)r(1)))=a

    Text Solution

    |

  8. If a= 30, b = 18, c = 24 then the descending order of r1, r2,r3 ...

    Text Solution

    |

  9. If a = 18 , b=24 , c=30 , find r(1) .

    Text Solution

    |

  10. In DeltaABC, if C=90^(@) then R+r=

    Text Solution

    |

  11. In DeltaABC,sqrt(rr1r2r3)/(2Rr(sinA+sinB+sinC)) =

    Text Solution

    |

  12. (r+r(1))"tan"(B-C)/(2)+(r+r(2))"tan"(C-A)/(2)+(r+r(3))"tan"(A-B)/(2)=

    Text Solution

    |

  13. In DeltaABC" prove that "cos^(2).(A)/(2)+cos^(2).(B)/(2)+cos^(2).(C)/...

    Text Solution

    |

  14. In Delta ABC, the correct formule among the following are Statemen...

    Text Solution

    |

  15. Which of the following statement is true : Statement -I : In Delt...

    Text Solution

    |

  16. The radius of the circle passing through the centre of incircle of Del...

    Text Solution

    |

  17. In a triangle ABC, tanA=2, tanB=(3)/(2) and side c= sqrt(65) then circ...

    Text Solution

    |

  18. In a Delta ABC if angle A=90^@, then cos^(-1)(( R)/(r2 +r3)) is equal

    Text Solution

    |

  19. If alpha,beta,gamma, are lengths of the altitudes of a triangle ABC wi...

    Text Solution

    |

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

    Text Solution

    |