Home
Class 11
MATHS
In Delta ABC , the length of the alti...

In ` Delta ABC `, the length of the altitude from A to BC is

A

`(2 r r_1)/( r+ r_1) `

B

` (2r_2r_3)/( r_2+r_3)`

C

` (2r r_1)/( r_1- r) `

D

` (2r_2r_3)/( r_2- r_3) `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|132 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - I ( Straight Objective Type Questions ) |58 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise EXERCISE - 1|98 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

In Delta ABC, if r_2 = 3 , r_3 = 4 then the length of the altitude from A to BC is

If O(0, 0), A(3, 4), B(4, 3) are the vertices of a triangle then the length of the altitude from O is

If alpha, beta , gamma are the lengths of the altitudes of Delta ABC , " then " alpha ^(-2) +beta ^(-2) +gamma^(-2) =

Find the length of the altitude from A to the side BC of DeltaABC formed by A(1,-3),B(6,1) and C(4,-1).

In triangle ABC if p_1, p_2, p_3 are the length of the altitudes from A, B, C then p_1,p_2,p_3

In Delta ABC , if r_1= 12 , r_2 = 18 , r_3 = 36 then the length of the altitude through A is

If the base of an isosceles triangle is of length 2P and the length of the altitude dropped to the base is q, then the distance from the mid point of the base to the side of the triangle is

IF the position vectors of the vertices of a Delta ABC are OA=3hati+hatj+2hatk,OB=hati+2hatj+3hatkand OC=2hati+3hatj+hatk , then the length of the altitude of Delta ABC drawn from A is

If bar(a), bar(b), bar(c) are the position vectors of the vertices A, B, C of the triangle ABC, then the equation of the median from A to BC is

AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - II
  1. Prove that r1 +r2+r3-r = 4R

    Text Solution

    |

  2. If Delta ABC is right angled at A , then r2 + r3 is equal to

    Text Solution

    |

  3. In Delta ABC , the length of the altitude from A to BC is

    Text Solution

    |

  4. In Delta ABC , if r1= 12 , r2 = 18 , r3 = 36 then the length of the al...

    Text Solution

    |

  5. ( r1 (r2+ r3))/( sqrt( r1r2+r2r3+ r1r3)) =

    Text Solution

    |

  6. Prove that in Delta ABC S (( r1- r2) /( a) + ( r2- r)/( b) + ( r3...

    Text Solution

    |

  7. In Delta ABC, if r-1,R=4, Delta =8, then ab+bc+ca=

    Text Solution

    |

  8. If 2( r+R ) = b+ c then A =

    Text Solution

    |

  9. In Delta ABC , (sqrt( r r1r2r3))/( 2Rr ( sin A + sin B + sin C) ) =

    Text Solution

    |

  10. r^(2) cot ""(A)/(2) cot ""(B)/(2) cot ""(C)/(2)

    Text Solution

    |

  11. In DeltaABC,(b-c)/r1+(c-a)/r2+(a-b)/r3=

    Text Solution

    |

  12. The perimeter of a triangle is equal to the diameter of the escribed ...

    Text Solution

    |

  13. r1^(2) = r1r2+ r2r3 +r3r1 triangle is

    Text Solution

    |

  14. In Delta ABC if a: b: c = 3: 7 : 8 then the ratio of circum radius...

    Text Solution

    |

  15. In Delta ABC, (ab-r1 r2)/r3=

    Text Solution

    |

  16. In Delta ABC , if r1 = 8, r2=12 , r3 = 24 then the value of sin B=

    Text Solution

    |

  17. If a = 18 , b= 24 , c= 30 " then" r2 r1 is

    Text Solution

    |

  18. If the sides of a triangle are xy + yz , yz +zx , zx+ xy then inradi...

    Text Solution

    |

  19. If r1 , r2 , r3 are the radii of the escribed circles of a Delta ABC ...

    Text Solution

    |

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

    Text Solution

    |