Home
Class 11
MATHS
If in a triangle ABC , a^(2) Cos^(2) A =...

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

A

`0 lt A lt pi/4`

B

`pi/4 lt A lt pi/2`

C

`pi/2 lt A lt pi`

D

`A = pi/2`

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

In a triangle ABC if (a^(2) + b^(2))/(a^(2) - b^(2)) sin (A - B) = 1 and the triangle is not right angled, then cos (A - B) =

If in triangle ABC, a^2+2bc-(b^2+c^2)= ab sin (C/2) cos( C/2) , then cot (B+C) =

In a triangle ABC if 2a= sqrt(3)b+c then

In Delta ABC , if cos ^(2)A +cos ^(2) B +cos ^(2) C =(3)/(4) , then the triangles is

In a triangle ABC, (a^2-b^2-c^2) tan A+ (a^2-b^2+c^2) tan B is equal to

If the area of triangle ABC is b^(2) - (c - a)^(2) then tan B=

In a triangle ABC the maximum value of (a cos^(2)A//2 +b cos^(2)B//2+cos^(2)C//2)/(a+b+c) is

In Delta ABC , if a( b cos C + c cos B ) = 2ka^(2) , then k=

AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - I ( Straight Objective Type Questions )
  1. If the sides of a triangle are in A.P and greatest angle exceeds the l...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. In Delta ABC , a/b = 2 + sqrt2 " and " angle C = 60^(@) . Then the ord...

    Text Solution

    |