Home
Class 12
MATHS
The perimeter of a Delta ABC is 6 times ...

The perimeter of a `Delta ABC` is 6 times the A.M. of the sines of its angles. If the side 'a' is 1, then the angle A is

A

`pi//6`

B

`pi//3`

C

`pi//2`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|111 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|45 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -D|14 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos

Similar Questions

Explore conceptually related problems

IF the perimeter of a triangle is 12 times the arithmetic mean of the sides of its angles then its circumference=

The perimeter of a right angled triangle is 6 times the smaller side, if alpha is the smallest angle then tan alpha =

A variable triangle is inscribed in a circle of radius R. If the rate of change of a side is R times the rate of change of he opposite angle, then the opposite angle is

if 6,10,4 are the sides of a triangle then its obtus angle is

IF 4,5 are two sides of a triangle and the included angle is 60^@ , then its area is

If the sides of a triangles are in the ratio 2 : sqrt6 : sqrt3 + 1 then its angles are

If the angles of a triangles are in the ratio 1: 5: 6 then the ratio of its sides is

Example for the sides of a Right angled triangle is………….

Converse of Pythagoras theorem: In a triangle if the square of one side is equal to the sum of squares of the other two sides, then the angle opposite to the first side is a right angle and the triangle is a right angled triangle.

DIPTI PUBLICATION ( AP EAMET)-PROPERTIES OF TRIANGLES -EXERCISE 1A
  1. In a triangle ABC if cot A=(x^3+x^2+x)^(1//2), cot B=(x+x^-1+1)^(1//2)...

    Text Solution

    |

  2. The radius of the circumcircle of an isosceles triangle PQR is equal t...

    Text Solution

    |

  3. The perimeter of a Delta ABC is 6 times the A.M. of the sines of its a...

    Text Solution

    |

  4. If sin A= sin^2 B and 2 cos^2 A=3 cos^2 B, then the Delta ABC is

    Text Solution

    |

  5. In Delta ABC, if (sin A+sin B+sin C) (sin A+ sin B- sin C)=3 sin A sin...

    Text Solution

    |

  6. In Delta ABC, if sin A+sin B+sin C=1+sqrt2 and cos A+cos B+cos C=sqrt2...

    Text Solution

    |

  7. IF ABC is the triangle then one root of x^2-2bx cos A+b^2-a^2=0 is

    Text Solution

    |

  8. In Delta ABC sum(sin^2A+sinA+1)/(sinA) is always greater than

    Text Solution

    |

  9. In DeltaABCprod((sin^2A+sinA+1)/(sinA)) is always greater than

    Text Solution

    |

  10. If A, B,C are angles of a acute angled triangle then the least value o...

    Text Solution

    |

  11. In a right angled Delta ABC, sin^2 A+ sin^2 B+sin^2 C=

    Text Solution

    |

  12. IF twice the square of the radius of a circle is equal to half the sum...

    Text Solution

    |

  13. In a triangle ABC,if a is the arithemetic mean and b,c (b ne c)are the...

    Text Solution

    |

  14. Points D,E are taken on the side BC of a triangle ABC, such that BD=DE...

    Text Solution

    |

  15. In Delta ABC, if B=60^@,C=45^@ and D divides BC internally in the rati...

    Text Solution

    |

  16. If the area of an isosceles triangle is sqrt2+1are vertical angle is 4...

    Text Solution

    |

  17. IF A,B,C are angles of a triangle, then the minimum value of tan^2""A/...

    Text Solution

    |

  18. In Delta ABC, sum a (sin B-sin C)=

    Text Solution

    |

  19. In Delta ABC, sum a^2 (cos^2 B-cos^2 C)=

    Text Solution

    |

  20. In Delta ABC, sum a .sin (B-C)=

    Text Solution

    |