Home
Class 12
MATHS
In a triangle ABC, a=4, b=3, /A=60^(@), ...

In a triangle ABC, `a=4`, `b=3`, `/_A=60^(@)`, then `c` is the root of the equation

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

Similar Questions

Explore conceptually related problems

In a triangle ABC b=sqrt(3), c=1, A=30^(circ) then the largest angle of the triangle is

In a triangle ABC, if /_B=60^(@) , then the expression (a+b+c)(a-b+c) is

In a triangle ABC if a = 2, B = 60^(@) and C = 75^(@) , then b =

In a triangle ABC , angle B=60^(@) , then

In a triangle ABC, 2casin.(A-B+C)/(2)=

The centroid of the triangle A B C is (2,3) and A=(4,2), B=(4,5), then the area of the triangle A B C

In a triangle ABC, a[b cos C - c cos B]=

Let a, b,c be sides of a triangle. No two of them are equal and lambda in R. If the roots of the equation x^(2) + 2 (a + b + c) x + 3 lambda (ab + bc + ca ) = 0 are real , then :

Let a,b,c be the sides of a triangle no two of them are equal and lambda in R if the roots of the equation x^(2)+2(a+b+c)+3lambda (ab+bc+ca=0) are real then

HIMALAYA PUBLICATION-MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE-QUESTION BANK
  1. If the angles A, B, C of a triangle are in A . P and sides a, b, c are...

    Text Solution

    |

  2. In a triangle A B C, hat(A)=(pi)/(2) then cos ^(2) B+cos ^(2) C=

    Text Solution

    |

  3. In a triangle ABC, a=4, b=3, /A=60^(@), then c is the root of the equa...

    Text Solution

    |

  4. In a DeltaABC, if a+b=3c, then the value of cot.(A)/(2)cot.(B)/(2) is

    Text Solution

    |

  5. If a cosA=b cos B then prove that Delta ABC is either isosceles or rig...

    Text Solution

    |

  6. In a triangle A B C, a=2 x, b=2 y and hat(C)=120^(circ) then the area ...

    Text Solution

    |

  7. If tan (B-C)/(2)=x cot (A)/(2) then x=

    Text Solution

    |

  8. If in two cirlces arcs of the same length subtend angles 60^(@) and 75...

    Text Solution

    |

  9. The minimum value of 3 tan ^(2) theta+12 cot ^(2) theta is

    Text Solution

    |

  10. Maximum value of sin ^(8) x+cos ^(16) x is

    Text Solution

    |

  11. The minimum value of sin theta . cos theta is

    Text Solution

    |

  12. If cos x+cos y+cos alpha=0 and sin x+sin y+sin alpha=0, then cot ((x+y...

    Text Solution

    |

  13. If alpha+beta+gamma=2 pi, then

    Text Solution

    |

  14. If tan theta+sec theta=sqrt(3), 0 lt theta lt pi, then theta is equal ...

    Text Solution

    |

  15. If tan 25^(circ)=x, then (tan 155^(circ)-tan 115^(circ))/(1+tan 155^(c...

    Text Solution

    |

  16. If x + y + z = pi,tanx tany = 2tanx + tany + tanz = 6, thenz equals :

    Text Solution

    |

  17. If 1+cos alpha+cos ^(2) alpha+….=2-sqrt(2), thenalpha(0 lt alpha lt pi...

    Text Solution

    |

  18. The value of the determinant : |(sin^(2)13^(@)""sin^(2)77^(@)""tan135^...

    Text Solution

    |

  19. If tan A+tan B+tan C=tan A . tan B . tan C then

    Text Solution

    |

  20. In a right angled triangle, the hypotenuse four times as long as the p...

    Text Solution

    |