Home
Class 11
MATHS
In triangle ABC, D is mid point of BC, i...

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

A

`(2(c^(2)-a^(2)))/(3ac)`

B

`(c^(2)-a^(2))/(2ac)`

C

`(c^(2)-a^(2))/(ac)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLIC FUNCTIONS|10 Videos
  • REAL FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE-1|34 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II (ADVANCED) PRACTICE SHEET (ADDVANCED)) (Comprehension Type Questions)|6 Videos

Similar Questions

Explore conceptually related problems

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

ABC is a triangle with angle B greater than angle C . D and E are points on BC such that AD is perpendicular to BC and AE is the bisector of angle A. Complete the relation angle DAE = 1/2 [(…..) - angle C]

In Delta ABC, if the median AD drawn through A is perpendicular to the side AC, then 3ca cos A cos C + 2a^(2) =

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

In /_\ABC, AD is a perpendicular to BC.S.T iii) AB + AC gt BC

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) =

AAKASH SERIES-REVISION EXERCISE-PROPERTIES OF TRIANGLES
  1. In DeltaABC if r(1)=R then

    Text Solution

    |

  2. IF Delta ABC,if a tan A+b tan B=(a+b) tan ((A+B)/2), then the triangle...

    Text Solution

    |

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

    Text Solution

    |

  4. The sides of a right angled triangle are in A.P then they are in the r...

    Text Solution

    |

  5. If the bisector angle A of the triangle ABC makes an angle theta with ...

    Text Solution

    |

  6. In DeltaABC, AD is the altitude from A, if b gt c, C=23^(0), AD=(abc)/...

    Text Solution

    |

  7. In DeltaABC, a=6,b=4 and cos (A-B)=4//5 then its area is

    Text Solution

    |

  8. In a triangle ABC, medians AD and BE are drawn.IF angle D=4, angle DAB...

    Text Solution

    |

  9. If the area of an isosceles triangle is sqrt2+1are vertical angle is 4...

    Text Solution

    |

  10. In DeltaABC, if a=7 b=8, c=9 then the distance from the vertex B to th...

    Text Solution

    |

  11. If the median of DeltaABC through A is perpendicular to AB then tan A+...

    Text Solution

    |

  12. If the median AD of DeltaABC, makes an angle theta with AB then sin(A-...

    Text Solution

    |

  13. The perimeter of a right angled triangle is 6 times the smaller side, ...

    Text Solution

    |

  14. In Delta ABC, if (a-b) (s-c)= (b-c) (s-a) then r1,r2,r3 are in

    Text Solution

    |

  15. In Delta ABC the roots of the equation x^3-(r+4R)x^2+s^2x-s^2r=0 are

    Text Solution

    |

  16. In DeltaABC, the joining the circumcentre and incenre is parallel to B...

    Text Solution

    |

  17. The sum of the radii of inscribed and circumscribed circles for an n s...

    Text Solution

    |

  18. Ratio of area of the incircle to the area of triangle ABC

    Text Solution

    |

  19. If the area of the triangle ABC is a^(2)-(b-c)^(2) then its circumradi...

    Text Solution

    |

  20. If for DeltaABC, cotA cotB cotC gt0 then the triangle is

    Text Solution

    |