Home
Class 12
MATHS
If in triangle ABC, a, c and angle A are...

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)

A

(a) `b_(1)+ b_(2)=2c cos A`

B

(b) `b_(1)+b+_(2)=c cos A`

C

(c) `b _(1)b_(2)=c^(2) -a^(2)`

D

(d) `b _(1)b_(2) =c^(2) +a^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
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 a = 18, b = 24 and c = 30, find sin A, sin B and sin C.

In a triangle ABC, 2ca sin frac(A-B+C)(2) =

The angle of triangle A, B, C are in AP and C=3A . Find angle B

In a triangle ABC, a = 4, b=3, angle A = 60^@ , then c is the root of the equation :

In any triangle ABC, prove that : sin (A + B) = sin C .

In a triangle ABC if angle A= 60^@ ,a=5,b= 4, then c is a root of the equation :

In a delta ABC, a,c, A are given and b_(1) , b_(2) are two values of third side b such that b_(2)=2b_(1). Then, the value of sin A.

If the integers a,b,c,d are in arithmetic progression and a lt b lt c lt d and d=a^(2)+b^(2)+c^(2) , the value of (a+10b+100c+1000d) is

A triangle ABC is such that sin(2A+B) =1/2 and If A, B and C are in A.P., then find the value of A and C

In any triangle ABC, prove that : b^2 sin 2C + c^2 sin 2B = 2 bc sin A .

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (More Than One Correct Option Type Questions)
  1. Find the second order derivative of the function 2logx^2 + 4x

    Text Solution

    |

  2. Is it possible to have a DeltaABC with a=3,b=5, c=7 and C =(2pi)/(3) ...

    Text Solution

    |

  3. Find the second order derivative of the function x.cosx

    Text Solution

    |

  4. Differentiate the following w.r.t x (x + 3)^2 . (x + 4)^3

    Text Solution

    |

  5. Find the second order derivative of the function x^(6) + 2

    Text Solution

    |

  6. Given an isoceles triangle with equal side of length b and angle alpha...

    Text Solution

    |

  7. There can exist a triangle ABC satisfying the condition (sin A)/(2) =(...

    Text Solution

    |

  8. Find (d^2y)/dx^2 , if y = logx

    Text Solution

    |

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

    Text Solution

    |

  10. Find second order derivative of the function sin^(-1)x

    Text Solution

    |

  11. Let 'l' is the length of medians 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+2ac Then a...

    Text Solution

    |

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

    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 triangle ABC, R = circumradius and P = AH +...

    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

    |