Home
Class 12
MATHS
IF the sides of the triangle are p , ...

IF the sides of the triangle are ` p , q sqrt(p^2 + q^2 + pq)` then the largest angle is

A

`pi/2`

B

`(5pi)/(4)`

C

`(2pi )/(3)`

D

`(7 pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|44 Videos
  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos
  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION|2 Videos

Similar Questions

Explore conceptually related problems

If the sides of a right angled triangle are in A.P then the sines of the acute angles are

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 del . Then prove that the height of the tower is (abc) tantheta/(4)dot

If the cotangents of half the angles of a triangle are in A.P., then prove that the sides are in A.P.

Let P Q R be a triangle of area with a=2,b=7/2,a n dc=5/2, w h e r ea , b ,a n dc are the lengths of the sides of the triangle opposite to the angles at P ,Q ,a n dR respectively. Then (2sinP-sin2P)/(2sinP+sin2P)e q u a l s

The vertices of a triangle are (p q ,1/(p q)),(q r ,1/(q r)), and (r q ,1/(r p)), where p ,q and r are the roots of the equation y^3-3y^2+6y+1=0 . The coordinates of its centroid are (1,2) (b) 2,-1) (1,-1) (d) 2,3)

Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The point R inside the triangle O P Q is such that the triangles O P R ,P Q R ,O Q R are of equal area. The coordinates of R are (a) (4/3,3) (b) (3,2/3) (c) (3,4/3) (d) (4/3,2/3)

Let P and Q be distinct points on the parabola y^2 = 2x such that a circle with PQ as diameter passes through the vertex O of the parabola. If P lies in the first quadrant and the area of the triangle Delta OPQ is 3 √2 , then which of the following is (are) the coordinates of P?

P is a point on the line y+2x=1, and Q and R two points on the line 3y+6x=6 such that triangle P Q R is an equilateral triangle. The length of the side of the triangle is (a) 2/(sqrt(5)) (b) 3/(sqrt(5)) (c) 4/(sqrt(5)) (d) none of these

The product of the sines of the angles of a triangle is p and the product of their cosines is qdot Show that the tangents of the angles are the roots of the equation q x^3-p x^2+(1+q)x-p=0.

NEW JOYTHI PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. If sin ((pi)/(4) cot theta) = cos ((pi)/(4) tan theta ) , then ...

    Text Solution

    |

  2. IF A + B + C = pi then cos ^2 A + cos^2 B + cos^2 C=

    Text Solution

    |

  3. IF the sides of the triangle are p , q sqrt(p^2 + q^2 + pq) then...

    Text Solution

    |

  4. (cos 9^@ + sin 9^@ )/( cos 9^@ - sin 9^@ )=

    Text Solution

    |

  5. If Delta = a^2 - ( b-c)^2 where Delta is the area of triangl...

    Text Solution

    |

  6. If in a triangle ABC , a=5,b=4 ,A =(pi)/( 2) +B then C

    Text Solution

    |

  7. ABC is a right angled isosceles triangles with angle B = 90 ^...

    Text Solution

    |

  8. The shadow of a tower is found to be 60 meter shorter when ...

    Text Solution

    |

  9. ABCD is a reactangular field .A vertical lamp post of height 12...

    Text Solution

    |

  10. If 0 lt phi lt (pi)/(2) , x= sum(n=0)^(oo) cos^(2n) phi ,y sum (n...

    Text Solution

    |

  11. Suppose o lt t lt (pi)/(2) and sin t + cos t =1/5 then tan "" t...

    Text Solution

    |

  12. the value cos 480^@ . Sin 150^@ + sin 600^@ . Cos 390^@ =

    Text Solution

    |

  13. If the angles of a triangles are in the ratio 3 : 4: 5 then the ...

    Text Solution

    |

  14. IF ( sin ( x+y) )/( sin (x-y) ) = (a+b)/( a-b) , then ( tan x)/( ...

    Text Solution

    |

  15. IF A + B = (pi)/(4) then ( tan A +1) ( tan B+1) equals

    Text Solution

    |

  16. If in a triangle ABC , a=15 , b= 36 , c = 39 then sin"" (C )/(2)=

    Text Solution

    |

  17. (1) /( cos 80^@ ) - ( sqrt(3))/( sin 80 ^@) =

    Text Solution

    |

  18. Let ABC be a triangle with b = 5 , c = 11 if the medium AD is...

    Text Solution

    |

  19. A tower subtends an angle alpha at a point A in the plane of...

    Text Solution

    |

  20. If in the triangle ABC , B = 45^@ , then a^4 + b^4 +c^4 =

    Text Solution

    |