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

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)` =

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • 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 LECTURE SHEET EXERCISE - I (Matrix Matching Type Questions)|1 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|132 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 the mid-point of the side BC of triangle ABC and AD is perpendicular to AC, then

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

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

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)

In triangle ABC, D is mid point of BC, if 'AD' is perpendicular to 'AC then cos A cos C

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

In angleABC , D is a point on side BC, triangleABC such that AD. AC (see figure).

AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - I ( Straight Objective Type Questions )
  1. The base of a triangle is 80 and one of base angle is 60^(@) . If the...

    Text Solution

    |

  2. If the sides of a triangle are in A.P and greatest angle exceeds the l...

    Text Solution

    |

  3. If D is mid point of the side BC of a triangle ABC and AD is perpendic...

    Text Solution

    |

  4. Two circles of radii a and b cut each other at an angle theta then len...

    Text Solution

    |

  5. In the given figure, AB is the diameter of the circle centered at O. I...

    Text Solution

    |

  6. In triangle ABC, D is mid point of BC, if 'AD' is perpendicular to 'AC...

    Text Solution

    |

  7. With usual notation , if in triangle ABC, (b + c)/11 = (c + a)/12 = (...

    Text Solution

    |

  8. The sides of a triangle are three consecutive natural numbers and its ...

    Text Solution

    |

  9. In Delta ABC , 2ac sin ""( 1)/(2) (A-B+C)=

    Text Solution

    |

  10. Let ABC be a triangle such that angle ACB = pi//6 and c denote the le...

    Text Solution

    |

  11. If the lengths of the sides of triangle are 3, 5, and 7, then the larg...

    Text Solution

    |

  12. If in a triangle ABC , a^(2) Cos^(2) A = b^(2) + c^(2) , then

    Text Solution

    |

  13. The side of a triangle are in the ratio 1 : sqrt3 : 2, then the angles...

    Text Solution

    |

  14. ( a- b) ^(2) cos ^(2) ""(C ) /(2) + ( a+b) ^(2) sin ^(2) "" ( C )/(2) ...

    Text Solution

    |

  15. In Delta ABC , if the sides are a = 3, b = 5 and c = 4 , then sin . B...

    Text Solution

    |

  16. In Delta ABC , " if " 1/(b+c) + 1/(c+a) = 3/(a + b + c) , then C is eq...

    Text Solution

    |

  17. A longer side of a parallelogram is 10 cm and the shorter is 6cm. If t...

    Text Solution

    |

  18. If (a + b)^(2) = c^(2) + ab " in a " Delta ABC " and if " sqrt2 (sin ...

    Text Solution

    |

  19. If (a + b)^(2) = c^(2) + ab " in a " Delta ABC , Sin^(4) B + Sin^(4) C...

    Text Solution

    |

  20. Let O be a point inside Delta^("le") ABC such that lfloorOAB = lfloor ...

    Text Solution

    |