Home
Class 12
MATHS
Let D be the middle point of the side BC...

Let D be the middle point of the side BC of a triangle ABC. If the triangle ADC is equilateral, then `a^(2) : b^(2) : c^(2)` is equal to

A

`1:4:3`

B

`4:1:3`

C

`4:3:1`

D

`3:4:1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Critical Thinking|88 Videos

  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos

  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

Similar Questions

Explore conceptually related problems

If D is the mid-point of the side BC of a triangle ABC, prove that vec AB+vec AC=2vec AD .

If D,E and F be the middle points of the sides BC,CA and AB of the Delta ABC, then AD+BE+CF is

D is a point on the side BC of a triangle ABC /_ADC=/_BAC Show that CA^(2)=CB.CD

If D is a Point on the side BC of a Delta ABC such that AD bisects angleBAC . Then

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Competitive Thinking
  1. In a triangle ABC If ( 2 cos A)/a + ( cos B)/b + (2 cos C)/c = a/(bc)...

    Text Solution

    |

  2. If 4sinA=4sinB=3sinC" in a "DeltaABC, then cos C =

    Text Solution

    |

  3. Let D be the middle point of the side BC of a triangle ABC. If the tri...

    Text Solution

    |

  4. The angles of a triangle ABC are in an arithmetic progression. The lar...

    Text Solution

    |

  5. In DeltaABC,ifcotA,cotB,cotC be in A.P. then a^(2),b^(2),c^(2) are in

    Text Solution

    |

  6. If in DeltaABC,2b^(2)=a^(2)+c^(2),"then "(sin3B)/(sinB)=

    Text Solution

    |

  7. In a triangle ABC, if b^2 + c^2 = 3a^2, then cotB + cotC-cotA is equal...

    Text Solution

    |

  8. If the sides of the triangle ABC are p,q and sqrt(p^(2)+ pq+q^(2)), th...

    Text Solution

    |

  9. If the line segment joining the points A(a,b) and B(c,d) subtends an a...

    Text Solution

    |

  10. Let ABC be a triangle such that angleACB=pi/6 and let a , b and c deno...

    Text Solution

    |

  11. If two adjacent sides of a cyclic quadrilateral aré 2 and 5 and the an...

    Text Solution

    |

  12. In triangle ABC, if A = 2B, and the sides opposite to the angles A, B,...

    Text Solution

    |

  13. In triangleABC, (b+c)cosA+(c+a)cosB+(a+b)cosC=

    Text Solution

    |

  14. In DeltaABC,cosecA(sinBcosC+cosBsinC)=

    Text Solution

    |

  15. IN triangleABC, (cosC+cosA)/(c+a)+(cosB)/(b)=

    Text Solution

    |

  16. In DeltaABC, with usual notations, if a,b,c are in AP then acos^(2)((C...

    Text Solution

    |

  17. In a DeltaABC, if 2s=a+b+cand(s-b)(s-c)=xsin^(2).(A)/(2), then x =

    Text Solution

    |

  18. In triangle ABC, sin((A)/(2))sin((C)/(2))=sin((B)/(2)) and '2s' is the...

    Text Solution

    |

  19. In triangleABC, if a=18, b=24, c=30, then cos((A)/(2))=

    Text Solution

    |

  20. In DeltaABC,(a-b)^(2)cos^(2).(C)/(2)+(a+b)^(2)sin^(2).(C)/(2)=

    Text Solution

    |