Home
Class 11
MATHS
In triangle ABC , a = 4, b = 3 and angle...

In triangle ABC , a = 4, b = 3 and `angle A = 60^(@) ` . Then c is root of the equation

A

`c^(2) - 3c + 7 = 0 `

B

`c^(2) + 3c - 7 = 0 `

C

`c^(2) + 3c + 7 = 0 `

D

`c^(2) - 3c - 7 = 0 `

Text Solution

Verified by Experts

The correct Answer is:
D
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 Delta ABC, if a=4, b=3 angle A=60^@ , then c is the root of the equation

In Delta ABC , a/b = 2 + sqrt2 " and " angle C = 60^(@) . Then the ordered pair (angle A , angle B) is equal to

In Delta ABC , b = sqrt 3+ 1 , c sqrt3-1 and angle A = 60 ^(@) then the value of tan (( B-C)/( 2)) =

In triangle ABC, angleA=60^(@), angle B=40^(@), and angle C=80^(@) If P is the center of the circumcircle of triangle ABC with radius unity, then the radius of the circumcircle of triangle BPC is

In triangle ABC , if angle A = 3 angle B and angle C = 2 angle B . Find all the three angles of triangle ABC .

If triangle ABC ~ triangle PQR if angle A = 50 and angle B = 60 then find the angle of angle R .

In Delta ABC , if a= 2, b= 3 , c=4 then cos A =

In Delta ABC, if a = 6, b=3 and cos (A-B) = (4)/(5) " then " angle C =

AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - I ( Straight Objective Type Questions )
  1. If the sides of a triangle are 4 cm, 5 cm, 6 cm then ratio of the cosi...

    Text Solution

    |

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

    Text Solution

    |

  3. In triangle ABC , a = 4, b = 3 and angle A = 60^(@) . Then c is root...

    Text Solution

    |

  4. In a Delta ABC , if D is the mid point of BC and AD is perpendicular ...

    Text Solution

    |

  5. The base of a triangle is 80 and one of base angle is 60^(@) . If the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |