Home
Class 12
MATHS
If in a triangle a cos^(2).(C)/(2) + c c...

If in a triangle `a cos^(2).(C)/(2) + c cos^(2).(A)/(2) = (3b)/(2)`, then find the relation between the sides of the triangles

A

AP

B

GP

C

HP

D

AGP

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 3|34 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 4|10 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 1|20 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

In a Delta ABC, c cos ^(2)""(A)/(2) + a cos ^(2) ""(C ) /(2)=(3b)/(2), then a,b,c are in

Let cosA+cosB + cos C=3/2 in a triangle then the type of the triangle is

Statement I: If in a triangle ABC, sin ^(2) A+sin ^(2)B+sin ^(2)C=2, then one of the angles must be 90^(@). Statement II: In any triangle ABC cos 2A+ cos 2B+cos 2C=-1-4 cos A cos B cos C

In a Delta ABC with vertices A(1,2), B(2,3) and C(3, 1) and angle A = angle B = cos^(-1)((1)/(sqrt(10))), angle C = cos^(-1)((4)/(5)) , then find the circumentre of Delta ABC .

Let PQR be a triangle of area Delta with a = 2, b = 7//2 , and c = 5//2 , where a, b and c are the lengths of the sides of the triangle opposite to the angles at P, Q and R, respectively. Then (2 sin P - sin 2P)/(2 sin P + sin 2P) equals

If in a triangle, a/(cosA)= b/(cos B) =c/(cos C) , then the triangle is :

In any DeltaABC, is 2 cos B=a/c, then the triangle is

Prove that, in any triangle ABC, cos C=(a^2+b^2-c^2)/(2ab) .

The vertices of a triangle are (4, -3), (-2, 1) and (2, 3). Find the co-ordinates of the circumcentre of the triangle. [Circumcentre is the point of concurrence of the right-bisectors of the sides of a triangle.]

The vertices of a triangle are A (-2, 1), B (6, -2) and C (4, 3). Find the lengths of the altitudes of the triangle.

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise For Sesssion 2
  1. If in a triangle ABC, (s-a)(s-b)= s(s-c), then angle C is equal to

    Text Solution

    |

  2. In any Delta ABC, If cot ""A/2 , cot ""B/2 ,cot ""C/2 are in AP, t...

    Text Solution

    |

  3. In any DeltaABC,("tan"(A)/(2)-"tan"(B)/(2))/("tan"(A)/(2)+"tan"(B)/(2)...

    Text Solution

    |

  4. Prove that bc cos^(2).(A)/(2) + ca cos^(2).(B)/(2) + ab cos^(2).(C)/(2...

    Text Solution

    |

  5. In a Delta ABC, if cos A+cos B=4 sin^(2)((C)/(2)), then a,b,c are in ...

    Text Solution

    |

  6. In a triangle ABC, if b^2 + c^2 = 3a^2, then cotB + cotC-cotA is equal...

    Text Solution

    |

  7. In any Delta ABC, ((b-c)/(a))cos^(2)((A)/(2))+((c-a)/(b))cos ^(2)((b )...

    Text Solution

    |

  8. In a DeltaABC, the tangent of half the difference of two angle is one-...

    Text Solution

    |

  9. If in a triangle a cos^(2).(C)/(2) + c cos^(2).(A)/(2) = (3b)/(2), the...

    Text Solution

    |

  10. In the adjacent figure 'P' is any interior point of the equilateral tr...

    Text Solution

    |

  11. If c^(2) = a^(2) + b^(2), then prove that 4s (s - a) (s - b) (s - c) =...

    Text Solution

    |

  12. The number of possible angle ABC in which BC =sqrt11cm, CA=sqrt13cm an...

    Text Solution

    |

  13. If two sides a, b and the angle A be such that two triangles are forme...

    Text Solution

    |

  14. If in a DeltaABC, sin A =sin^(2) B and 2 cos ^(2)A=3 cos ^(2) B, then ...

    Text Solution

    |

  15. If a cos A =b cos B, then the triange is

    Text Solution

    |

  16. Point D,E are taken on the side BC of an acute angled triangle ABC,, s...

    Text Solution

    |

  17. If the base angles of triangle are 22 1/2a n d112 1/2 , then prove tha...

    Text Solution

    |

  18. In a DeltaABC, a =1 and the perrimeter is six times the AM of the sine...

    Text Solution

    |

  19. In a DeltaABC, if median AD is perpendicular to AB, the tan A+2 tan B ...

    Text Solution

    |

  20. The product of the sines of the angles of a triangle is p and the prod...

    Text Solution

    |