Home
Class 11
MATHS
If D is the mid-point of the side BC of ...

If D is the mid-point of the side BC of triangle ABC and AD is perpendicular to AC, then

A

` b^(2) = a^(2) - c^(2) `

B

` a^(2) + b^(2) + 5c^(2) `

C

` 3a^(2) +3c^(2) =b^(2) `

D

` 3b^(2) =a^(2) -c^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

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

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - I (More than One correct answer Type Questions) |4 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise EXERCISE - II|148 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 D is mid point of the side BC of a triangle ABC and AD is perpendicular is AC then (a^(2) - c^(2))/b^(2) =

If D is the midpoint of the side BC of Delta ABC then vec(A)B + vec(A)C =

If D is the midpoint of the side BC of a triangle ABC then bar(AB)^(2)+bar(AC)^(2)=

In a Delta ABC , if D is the mid point of BC and AD is perpendicular to AC , then cos B =

In Delta ABC , D is the mid point of BC and AD is perpendicular to AC , then show that cos A cos C = ( 2 ( c^(2) - a^(2))/( 3ac)

If the mid points of the sides BC, CA and AB of a triangle ABC are respectively (2,1) (-01,-2)and (3,3) then the equation of the side BC is

D, E and F are the middle points of the sides of the triangle ABC, then

AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE EXERCISE
  1. sum a^(3) cos (B-C) =

    Text Solution

    |

  2. In Delta ABC , if AB = 12, BC =13,CA = 5 then the distance of A fro...

    Text Solution

    |

  3. If D is the mid-point of the side BC of triangle ABC and AD is perpend...

    Text Solution

    |

  4. If the hypotenuse of a right angled triangle is four times the length ...

    Text Solution

    |

  5. If the hypotenuse of a right angled triangle is 2sqrt2 times the le...

    Text Solution

    |

  6. If 2sqrt3 is the inradius of an equilateral triangle then the leng...

    Text Solution

    |

  7. The inventre of Delta ABC is the of its excentral triangle

    Text Solution

    |

  8. cos ^(2) ((A)/(2)) + cos ^(2) ((B)/(2)) +cos ^(2) (( C )/(2)) =

    Text Solution

    |

  9. In Delta ABC if 5r = 2R then cos A + cos B + cos C =

    Text Solution

    |

  10. If p1 ,p2,p3 are the lengths of altitudes of Delta ABC from the ...

    Text Solution

    |

  11. If P1 , P2 , P3 are lengths of altitudes of a triangle from its v...

    Text Solution

    |

  12. In Delta ABC, if a= 30 ,b= 24, c= 18 , then r=

    Text Solution

    |

  13. In Delta ABC, if a= 13, b= 14, c= 15 , then r2 =

    Text Solution

    |

  14. If 2,3,6 are exradii of triangle , then its inradius is

    Text Solution

    |

  15. If the area of a triangle is 6.sq units and its inradius is 2 unit...

    Text Solution

    |

  16. If the area of Delta ABC with sides a,b,c is Delta, then the are...

    Text Solution

    |

  17. In Delta ABC, if r2 = 3 , r3 = 4 then the length of the altitude ...

    Text Solution

    |

  18. If r1 = 36,r2 = 18 r3 = 12 then the area of Delta ABC is

    Text Solution

    |

  19. If angle C = 90 ^(@) ," then " 2(r + R) =

    Text Solution

    |

  20. If r1 = r2 = r3 then triangle is

    Text Solution

    |