Home
Class 12
MATHS
There exist a triangle ABC satisfying...

There exist a triangle ABC satisfying

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`

Text Solution

Verified by Experts

The correct Answer is:
A, D
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

There exists a triangle A B C satisfying the conditions (A) bsinA = a, A a, A > π/2 (C) bsinA > a, A < π/2 (D) bsinA < a, A < π/2, b < a

There can exist a triangle ABC satisfying the conditions :

In a triangle ABC

The sides of triangle ABC satisfy the relations a + b - c= 2 and 2ab -c^(2) =4 , then the square of the area of triangle is ______

In a triangle ABC,r=

In a triangle ABC, ab and c are the sides of the triangle satisfying the relation r_(1)+r_(2) = r_(3)-r then the perimeter of the triangle

In a triangle ABC, (a)/(b) = (2)/(3) and sec^(2) A = (8)/(5) . Find the number of triangle satisfying these conditions

If the sines of the angle A and B of a triangle ABC satisfy the equation c^(2) x^(2) - c (a + b) x + ab = 0 , then the triangle

If an angle A of a triangle ABC satisfies 5cos A + 3 = 0, then the roots of the quadratic equation, 9x^2 + 27x + 20 = 0 are

If the sines of the angles A and B of a triangle ABC satisfy the equation c^2x^2-c(a+b)x+a b=0 , then the triangle (a) is acute angled (b) is right angled (c) is obtuse angled (d) satisfies the equation sinA+cosA ((a+b))/c

VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-JEE Advanced (Archive)
  1. A triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

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

    Text Solution

    |

  3. There exist a triangle ABC satisfying

    Text Solution

    |

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

    Text Solution

    |

  5. In a DeltaABC, AD is the altitude from A. Given b gt c, angleC=23^(@)"...

    Text Solution

    |

  6. If, in a /\ ABC, (2 cos A)/a + (cos B)/(b) + (2 cos C)/(c) = a/(bc) ...

    Text Solution

    |

  7. The set of all real numbers a such that a^2+2a ,2a+3,a n da^2+3a+8 are...

    Text Solution

    |

  8. Let A(1), A(2), A(3),…,A(n) be the vertices of an n-sided regular poly...

    Text Solution

    |

  9. The sides of a triangle are three consecutive natural numbers and its ...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. With usual notations, if in a triangle A B C(b+c)/(11)=(c+a)/(12)=(a+b...

    Text Solution

    |

  12. ABC is a triangle and D is the middle point of BC. If AD is perpendicu...

    Text Solution

    |

  13. Show that for any triangle with sides a ,b ,a n dc3(a b+b c+c a)<(a+b+...

    Text Solution

    |

  14. If in triangle ABC, (a=(1+sqrt(3))c m ,b=2c m ,a n d/C=60^0 , then fin...

    Text Solution

    |

  15. If Delta is the area of a triangle with side lengths a, b, and c, then...

    Text Solution

    |

  16. Prove that a triangle A B C is equilateral if and only if tanA+tanB+ta...

    Text Solution

    |

  17. Let A,B,C, be three angles such that A=pi/4 and tanB ,tanC=pdot Find a...

    Text Solution

    |

  18. Consider the following statements concerning a DeltaABC (i) The sid...

    Text Solution

    |

  19. If in a triangle of base 'a', the ratio of the other two sides is r ( ...

    Text Solution

    |

  20. In a triangle ABC, if cos A cos B + sin A sin B sin C = 1, then a:b:c ...

    Text Solution

    |