Home
Class 12
MATHS
In a DeltaABC , if D is the middle point...

In a `DeltaABC` , if D is the middle point of BC and AD is perpendicular to AC, then `cos C` equals

A

`-(b)/(c)`

B

`(2b)/(a)`

C

`(c^(2)+a^(2))/(ca)`

D

`(b^(2)+c^(2))/(ca)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLES

    MODERN PUBLICATION|Exercise Latest questions from AIEE/JEE Examinations|5 Videos

  • SOLUTION OF TRIANGLES

    MODERN PUBLICATION|Exercise Latest questions from AIEE/JEE Examinations|5 Videos

  • SETS

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|6 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|3 Videos

Similar Questions

Explore conceptually related problems

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

If p is the length of perpendicular from A to BC in a DeltaABC, then:

In DeltaABC , the bisector AD of A is perpendicular to side BC Show that AB = AC and DeltaABC is isosceles.

If in a triangle AB=a,AC=b and D,E are the mid-points of AB and AC respectively, then DE is equal to

In Delta ABC , D and E are the mid-points of AB and AC respectively, then the area of Delta ADE is :

If P and Q are the middle points of the sides BC and CD of the parallelogram ABCD, then AP+AQ is equal to

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

In DeltaABC , if the median AD makes an angle theta with AC , and AB=2AD , then sintheta equals

In a DeltaABC , if 2AC=3CB, then 2OA+3OB is equal to

If D, E and F are respectively, the mid-points of AB, AC and BC in DeltaABC , then BE + AF is equal to

MODERN PUBLICATION-SOLUTION OF TRIANGLES-Level-II
  1. In DeltaABC, cosA+cosB+cosC gt 1 only if the triangle is

    Text Solution

    |

  2. Let A(0),A(1),A(2),A(3),A(4) and A(5) be the consecutive vertices of a...

    Text Solution

    |

  3. In a DeltaABC , if D is the middle point of BC and AD is perpendicular...

    Text Solution

    |

  4. If the angles of a triangle ABC satisfy the equation : 81^(sin^(2)x)...

    Text Solution

    |

  5. If n,n+1,n+2 where n in N, represent the sides of a triangle ABC, in w...

    Text Solution

    |

  6. If in DeltaABC, (cosA)/(7)=(cosB)/(19)=(cosC)/(25)=k, then : |{:(-(1...

    Text Solution

    |

  7. In a DeltaABC, if |{:(a,b,c),(b,c,a),(c,a,b):}|=0, then : sinAsinB+sin...

    Text Solution

    |

  8. In a DeltaABC, if A=18^(@), b-a=2, ab=4, then the triangle is

    Text Solution

    |

  9. The perimeter of a triangle, right-angled at C, 70, and the in-radius ...

    Text Solution

    |

  10. If in a DeltaABC, sines of angles A and B satisfy : 4x^(2)-2sqrt(6)x...

    Text Solution

    |

  11. In DeltaABC, if the median AD makes an angle theta with AC, and AB=2AD...

    Text Solution

    |

  12. In a DeltaABC, if Re(sinA+sinB+sinC)=96, then the area of the triangle...

    Text Solution

    |

  13. In a DeltaABC, if cot.(A)/(2)cot.(B)/(2)=c, cot.(B)/(2)cot.(C )/(2)=a ...

    Text Solution

    |

  14. The distance of the incentre of DeltaABC from A is

    Text Solution

    |

  15. In a DeltaABC, if cotA=(x^(3)+x^(2)+x)^(1//2), cotB=(x+x^(-1)+1)^(1//2...

    Text Solution

    |

  16. If in DeltaABC, (b+c)/(11)=(c+a)/(12)=(a+b)/(13), then cosA equals :

    Text Solution

    |

  17. If p(1),p(2),p(3) are respectively the perpendiculars from the vertice...

    Text Solution

    |

  18. If (a)/(cosA)=(b)/(cosB)=(c )/(cosC), then triangle is

    Text Solution

    |

  19. If c^(2)=a^(2)+b^(2), then 4s(s-a)(s-b)(s-c) equals

    Text Solution

    |

  20. If the lengths of the sides of a DeltaABC are 3,4 and 5cm , then the d...

    Text Solution

    |