Home
Class 12
MATHS
In a triangle ABC, if angle A = 30^@, b ...

In a triangle `ABC,` if `angle A = 30^@, b = 10 and a = x,` then the values of `x` for which there are 2 possible triangles is given by(All symbols used have usual meaning in a triangle.)
(a)` 5 lt x lt 10``" "`(b)`x lt 5/2``" "`(c)`5/3 lt x lt 10``" "`(d)`5/2 lt x lt 10`

A

(a)` 5 lt x lt 10`

B

(b)`x lt 5/2`

C

(c)`5/3 lt x lt 10`

D

(d)`5/2 lt x lt 10`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise SOLVED EXAMPLES|1 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

If in triangle ABC, a, c and angle A are given and c sin A lt a lt c , then ( b_(1) and b_(2) are values of b)

If tan x = 3/4, pi lt x lt (3 pi)/2 , find the values of sin frac (x)(2), cos frac (x)(2) and tan frac (x)(2) .

If 0 lt x lt 2 pi and |cos x| le sin x , then

The primitive of the function f(x)= x | cos x| , when pi/2 lt x lt pi is given by

If sin(30^(@) + " arc " tan x) = 13/14 " and " 0 lt x lt 1" , the value of x is " (a sqrt3)/b , where a and b are positive integers with no common factors . Find the value of ((a+b)/2) .

True or False statements: For x in (0, pi/2) , sin x lt x lt tan x .

Solve the following inequation . (ii) log_(2x)(x^2-5x+6)lt1

If sec x cos 5x=-1 and 0 lt x lt (pi)/(4) , then x is equal to

If 0 lt x lt pi and cos x + sin x = 1/2 , then tan x is

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. In a triangle ABC, if angle A = 30^@, b = 10 and a = x, then the value...

    Text Solution

    |

  2. Prove that 2sin^2(pi/6) - sec^2(pi/3)= -7/2

    Text Solution

    |

  3. In a triangle the sum of two sides is x and the product of the same is...

    Text Solution

    |

  4. Consider a triangle A B C and let a , b and c denote the lengths of th...

    Text Solution

    |

  5. Solution of differential equation 2xy dy / dx = x^2 + 3y^2 is .

    Text Solution

    |

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

    Text Solution

    |

  7. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

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

    Text Solution

    |

  10. Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...

    Text Solution

    |

  11. A straight line through the vertex P of a triangle P Q R intersects th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Internal bisector of /A of triangle ABC meets side BC at D. A line dra...

    Text Solution

    |

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

    Text Solution

    |

  17. In Delta ABC, which one is true among the following ?

    Text Solution

    |

  18. Let a vertical tower A B have its end A on the level ground. Let C be ...

    Text Solution

    |

  19. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |

  20. For a regular polygon, let r and R be the radii of the inscribed and t...

    Text Solution

    |

  21. In triangle A B C , let /c=pi/2dot If r is the inradius and R is circu...

    Text Solution

    |