Home
Class 12
MATHS
If the angles of a triangle are in the r...

If the angles of a triangle are in the ratio `4:1:1,` then the ratio of the longest side to the perimeter is (a)`sqrt(3):(2+sqrt(3))` (b) `1:6` (c)`1:2+sqrt(3)` (d) `2:3`

A

`sqrt(3) :(2+sqrt(3))`

B

`1:3:2`

C

`1:2+sqrt(3)`

D

`2:3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|35 Videos
  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos
  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advance ( Archive )|20 Videos

Similar Questions

Explore conceptually related problems

The angle of a triangle are in the ratio 1 : 2 : 7, prove that the ratio of the greatest side to the least side is (sqrt(5)+1):(sqrt(5)-1) .

The angles of a triangle are in a ratio of 8:3:1. the ratio of the longest side of the triangle to the next longest side is

The sides of a triangle are in the ratio 1: sqrt3:2. Then the angles are in the ratio

If the angle opf a triangle are in the ratio 1:2:3, then show that the sides opposite to the respective angle are in the ratio 1: sqrt3:2.

Angles of a triangle are in 4:1:1 ration. The ratio between its greatest side and perimeter is 3/(2+sqrt(3)) (b) (sqrt(3))/(2+sqrt(3)) (sqrt(3))/(2-sqrt(3)) (d) 1/(2+sqrt(3))

If the volumes of two cubes are in the ratio 8:1, then the ratio of their edges is (a) 8:1 (b) 2sqrt(3):1 (c) 2:1 (d) none of these

If the sides of a triangle are in the ratio 1 : sqrt(2) : 1 , show that it is a right-angled triangle.

if the sides of a triangle are in the ratio 2:sqrt6 : sqrt3 + 1, then the largest angle of the trangle will be (1) 60 (3) 72 (2) 75 (4) 90

if the sides of a triangle are in the ratio 2:sqrt6 : sqrt3 + 1, then the largest ange of the trangle will be (1) 60 (2) 72 (3) 75 (4) 90

In the sides of a triangle are in the ratio 1:sqrt(3):2, then the measure of its greatest angle is (a) pi/6 (b) pi/3 (c) pi/2 (d) (2pi)/3

VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-JEE Advanced (Archive)
  1. In a Delta ABC, among the following which one is ture ?

    Text Solution

    |

  2. The side of a triangle are in the ratio 1 : sqrt3:2, then the angles o...

    Text Solution

    |

  3. If the angles of a triangle are in the ratio 4:1:1, then the ratio of ...

    Text Solution

    |

  4. In a triangle ABC, 2 ac sin (1/2(A-B + C)) =

    Text Solution

    |

  5. In a triangle PQR, ∠R=π/2.If tan(P/2) & tan(Q/2), are the roots of the...

    Text Solution

    |

  6. If in a triangle PQR; sin P, sin Q, sin R are in A.P; then (A)the alt...

    Text Solution

    |

  7. In a DeltaABC, angleB=(pi)/(3) and angleC=(pi)/(4) let D divide BC in...

    Text Solution

    |

  8. Let A B C be a triangle such that /A C B=pi/6 and let a , b and c deno...

    Text Solution

    |

  9. Let PQR be a triangle of area Delta with a = 2, b = 7//2, and c = 5//2...

    Text Solution

    |

  10. One angle of an isosceles triangle is 120^0 and the radius of its incr...

    Text Solution

    |

  11. In a triangle, the sum of two sides is x and the product of the same t...

    Text Solution

    |

  12. Which of the following pieces of data does NOT uniquely determine an ...

    Text Solution

    |

  13. In triangle ABC, let angle C = pi//2. If r is the inradius and R is ci...

    Text Solution

    |

  14. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  15. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  16. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  17. about to only mathematics

    Text Solution

    |

  18. A triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  19. Internal bisector of angle A of Delta ABC meets side BC to D. A line ...

    Text Solution

    |

  20. There exist a triangle ABC satisfying

    Text Solution

    |