Home
Class 12
MATHS
If the sides of the triangle ABC are p,q...

If the sides of the triangle ABC are p,q and `sqrt(p^(2)+ pq+q^(2)),` then the greatest angle of the triangle is-

A

`(pi)/(2)`

B

`(2pi)/(3)`

C

`(5pi)/(4)`

D

`(5pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 10|1 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 11|1 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 2|90 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

The lengths of sides of triangle ABC are a units, b units and sqrt(a^2+ab+b^2) units show that greatest angle of the triangle is 120^@

The sides of a triangle ABC are (x^(2) + x +1),(2x+1) and (x^(2)-1) . Find the greatest angle of the triangle.

If the three sides of a triangle are (a^2 + b^2) cm., (a^2 - b^2) cm. and 2ab cm., then the greatest angle of the triangle is

The measures of the sides of a triangle are 3,5 and 7 then the greatest angle of the triangle is-

If the angles of the triangle ABC are in A.P. and b:c= sqrt3:sqrt2 then find the value of angleA

If the sides of right angled triangle are in G.P then the cosines of the acute angle of the triangle are-

If the ratio of three sides of a triangle be sqrt(2) : sqrt(3) : sqrt(5) , then the triangle is always a right-angled triangle.

The sides of a triangle are x^2+3x+3,2x+3,x^2+2x . Find the greatest angle of the triangle.

PQ is a vertical tower having P as the foot. A,B,C are three points in the horizontal plane through P. The angles of elevation of Q from A,B,C are equal and each is equal to theta . The sides of the triangle ABC are a,b,c, and area of the triangle ABC is triangle . Then prove that the height of the tower is (abc) tantheta/(4 'triangle' dot

If p+q = sqrt(13) and p-q = sqrt(5) , then the value of 2pq is

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 4
  1. If the sides of the triangle ABC are p,q and sqrt(p^(2)+ pq+q^(2)), th...

    Text Solution

    |

  2. If in a triangle ABC, a=5, b=4 and A=pi/2 +B, then the value of tan ""...

    Text Solution

    |

  3. The value of (cos 9^(@) +sin 9^(@))/(cos 9^(@) -sin 9^(@)) is equal to...

    Text Solution

    |

  4. In a triangle (1)/(a+c)+ (1)/(b+c)=(3)/(a+b+c) , then the value of the...

    Text Solution

    |

  5. The circumradius of the triangle whose side are 13, 12 and 5 is -

    Text Solution

    |

  6. If 0lt x lt (pi)/(2) and 1+ sin x+ sin ^(2) +sin ^(3) x+…oo= 4+2 sqrt3...

    Text Solution

    |

  7. Consider the following: (1) If cot theta =x, then x+ 1+x = sec thet...

    Text Solution

    |

  8. In any triangle ABC, the valur of a(cos ^(2) B+ cos ^(2)C)+ cos A (b ...

    Text Solution

    |

  9. If A+C=2b, then the value of (cos C - cos A)/(sin A-sin C) is-

    Text Solution

    |

  10. If sin 44theta = cos theta , then the value of tan 15 theta is-

    Text Solution

    |

  11. If cos theta ne 1/2, then the solution of the equation cos 2 theta =(...

    Text Solution

    |

  12. The value of sin 6^(@) sin 66^(@) is equal to-

    Text Solution

    |

  13. If y= (1+ tan A) (1- tan B) where A-B =pi/4, then the value of (y+1) ^...

    Text Solution

    |

  14. ABC is a right angle isosceles triangle with angleB=90^(@). If D is a ...

    Text Solution

    |

  15. If tan x =a/b, then the value of (a^(2) + b^(2)) sin 2x is-

    Text Solution

    |

  16. If sin A +sin B =2, then the value of cos (A+B) is-

    Text Solution

    |

  17. If sin theta""25/25 and 0^(@) lt theta 90^(@), then the value of sin "...

    Text Solution

    |

  18. If x sin ^(3) theta + y cos ^(3) theta = sin theta cos theta and x sin...

    Text Solution

    |

  19. The equation sin x + sin y + sin z =-3 for 0 le x le 2pi,0 lt y le 2p...

    Text Solution

    |

  20. In a Delta ABC, if b=20, c=21and sin A =3/5, then the value of a is

    Text Solution

    |