Home
Class 12
MATHS
In a triangle ABC, let BC = 1, AC=2 and ...

In a triangle ABC, let BC = 1, AC=2 and measure of angle C is 30°. Which of the following statement(s) is (are) correct? (A) 2 sinA =sin B (B) Length of side AB equals `5-2sqrt(3)` (C) Measure of angle A is less than `30^@` (D) Circumradius of triangle ABC is equal to length of side AB

A

`2 sin A =sin B`

B

Length of side AB equals `5-2 sqrt3`

C

measure of `angle A` is less than `30^(@)`

D

Circumradius of `anlge ABC` is equal to length of side AB

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|15 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|25 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|65 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 triangle ABC, if AB = BC and the measure of angle C is 75^(@) , then the measure of angle B is:

In triangle ABC , AB = AC , angle B = 40 ^(@) Then angle C is equal to

In a triangle ABC, BC = sqrt(39) , AC = 5 and AB = 7. What is the measure of the angle A?

In a triangle ABC. AC = 5 cm, AB = 7 cm, BC =sqrt39 what is the measure of angle A ? is the measure of angle A ?

In triangle ABC, b=sqrt3 c=1 and angleA=30^(@) then the measure of the largest angle of the triangle,is

In a triangle ABC, the measure of angle A is 40° less than the measure of angle B and 50° less than that of angle C. Find the measure of ∠ A.

In a right-angled triangle ABC, if angle B = 90° , BC = 3 cm and AC = 5 cm, then the length of side AB is

In a triangle ABC if sides AB = c = 4 cm, side AC = b = 6 cm and BC = a = 7, then answer the following questions The length of median AD is

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (More Than One Correct Option Type Questions)
  1. If in DeltaABC, a = 5, b = 4 and cos (A - B) = 31/32, then

    Text Solution

    |

  2. In which of the following situations, it is possible to have a DeltaAB...

    Text Solution

    |

  3. In a triangle ABC, let BC = 1, AC=2 and measure of angle C is 30°. Wh...

    Text Solution

    |

  4. 6. Let one angle of a triangle be 60°, the area of triangle is 10/3 an...

    Text Solution

    |

  5. In a triangle ABC, if a=4,b=8,/C=60^@, then which of the following rel...

    Text Solution

    |

  6. Given an isosceles triangle with equal sides of length b, base angle a...

    Text Solution

    |

  7. There can exist a triangle ABC satisfying the conditions :

    Text Solution

    |

  8. Let a,b,c be the sides of triangl whose perimeter is P and area is A, ...

    Text Solution

    |

  9. If in DeltaABC, A =90^(@) and c, sin B and cos B are rational number, ...

    Text Solution

    |

  10. In Delta ABC, which of the followinhg statemnts are ture

    Text Solution

    |

  11. Let 'l' is the length of median from the vertex A to the side BC of a ...

    Text Solution

    |

  12. If A,A1,A2 and A3 are the areas of the inscribed and escribed circles ...

    Text Solution

    |

  13. If a, b, A be given in a triangle and c1 and c2 be two possible value ...

    Text Solution

    |

  14. D,E and F are the middle points of the sides of the triangle ABC, then

    Text Solution

    |

  15. The sides of A B C satisfy the equation 2a^2+4b^2+c^2=4a b+2a cdot Th...

    Text Solution

    |

  16. If represents the area of acute angled triangle ABC, then sqrt(a^2b^2...

    Text Solution

    |

  17. In triangle, A B Cif2a^2b^2+2b^2c^2=a^2+b^4+c^4, then angle B is equal...

    Text Solution

    |

  18. If H is the orthocentre of the triangle ABC, R = circumradius and P =A...

    Text Solution

    |

  19. If inside a big circle exactly n(nlt=3) small circles, each of radius ...

    Text Solution

    |

  20. If in triangle ABC, a, c and angle A are given and c sin A lt a lt c, ...

    Text Solution

    |