Home
Class 12
MATHS
In which of the following cases, there e...

In which of the following cases, there exists a triangle ABC?
(a) `b sin A = a, A lt pi//2`
(b) `b sin A gt a, A gt pi//2`
(c) `b sin A gt a, A lt pi//2`
(d) `b sin A lt a, A lt pi//2, b gt a`
(e) `b sin A lt a, A gt pi//2, b = a`

A

(i), (iv)

B

(iii), (ii)

C

(i), (iv)

D

(ii), (iv)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise Level - 2|55 Videos
  • 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

Which is the following is always true ? (a) If a lt b, " then " a^2 lt b^2 (b ) If a lt b "then " 1/a gt 1/b ( c) If a lt b , " then " |a| lt |b|

0 lt a lt 2 pi , sin^(-1)(sin a ) lt x^(2)-2x for all x in I then a in

In any triangle A B C ,\ sin A-cos B=cos C ,\ the angle \ B is a. pi/2 b. pi/3 c. pi/4 d. pi/6

If sin A=3/5 and cos B = 9/41, 0 lt A lt pi/2 and 0 lt B lt pi/2 . Find the values of that : sin (A+B)

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 (x-a) (x-b) lt 0 , then x lt a, and x gt b .

If tanA=3/4 , cosB=9/(41) , where pi lt A lt (3pi)/2 and 0 lt B lt pi/2 , find tan(A+B)

Solve: sin 7 theta + sin 4 theta + sin theta = 0, 0 lt theta lt ( pi)/(2)

If sinA=3/5, 0 lt A lt pi/2 and cosB=-12/13, pi lt B lt (3pi)/2 , then find the values of the following: (i) sin(A-B)

If a lt 0 and b lt 0 , then (a +b)^(2) gt 0 .

VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-JEE Advanced (Archive)
  1. In which of the following cases, there exists a triangle ABC? (a) b ...

    Text Solution

    |

  2. If the angles A, B and C of a triangle are in an arithmetic progressio...

    Text Solution

    |

  3. In a Delta ABC, among the following which one is ture ?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |