Home
Class 12
MATHS
If in trianlge ABC, a,b,c and angle A ar...

If in trianlge ABC, a,b,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 cosA`

B

(b) `b_1+b_2=c cosA`

C

(c) `b_1b_2=c^2-a^2`

D

(d) `b_1b_2=c^2+a^2`

Text Solution

Verified by Experts

The correct Answer is:
`sqrt((9a^(2)-c^(2))/(8c^(2)))`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise PROPERTIES AND SOLUTIONS OF TRIANGLES EXERCISE 7 : SUBJECTIVE TYPE QUESTIONS|18 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise PROPERTIES AND SOLUTIONS OF TRIANGLES EXERCISE 6 : SINGLE INTEGER ANSWER TYPE QUESTIONS|1 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 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

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.

In a triangle ABC, if a = 18, b = 24 and c = 30, find sin A, sin B and sin C.

In any triangle ABC, if sin A , sin B, sin C are in AP, then the maximum value of tan ""B/2 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 a Delta ABC, a,b,A are given and c_(1), c_(2) are two values of the third side c. The sum of the areas two triangles with sides a,b, c_(1) and a,b,c_(2) is

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

If in a Delta ABC, sin ^(3) A + sin ^(3) B+ sin ^(3) C =3 sin A .Sin B. sin C, then find the valueof determinant |{:(a,b,c),(b,c,a),(c,a,b):}|.

If A, B, C are angles of triangle ABC and a, b, c are lengths of the sides opposite to A, B, C respectively, then show that : a (sin B - sin C)+ b (sin C- sin A)+c (sin A -sin B)= 0 .

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Subjective Type Questions)
  1. In a Delta ABC, the angles A and B are two values of theta satisfying...

    Text Solution

    |

  2. In an obtuse angled triangle, the obtuse angle is (3pi)/4 and the othe...

    Text Solution

    |

  3. If in trianlge ABC, a,b,c and angle A are given and c sin A lt a lt c,...

    Text Solution

    |

  4. If P is a point on the altitude AD of the triangle ABC such the /C B P...

    Text Solution

    |

  5. If R denotes circumradius, then in DeltaABC,(b^2-c^2)/(2aR) is equal t...

    Text Solution

    |

  6. In DeltaABC, A = (2pi)/(3), b -c = 3 sqrt3 cm and " area of " Delta AB...

    Text Solution

    |

  7. If Delta = a^(2)-(b-c)^(2), Delta is the area of the Delta ABC then ta...

    Text Solution

    |

  8. In a DeltaABC, B=90^(@), AC=h and the length of perpendicular from B t...

    Text Solution

    |

  9. If in a Delta ABC, sin ^(3) A + sin ^(3) B+ sin ^(3) C =3 sin A .Sin...

    Text Solution

    |

  10. In a triangle ABC, if the sides a,b,c, are roots of x^3-11 x^2+38 x-40...

    Text Solution

    |

  11. If the sides a,b,c are in A.P., prove that (tan)A/2+ (tan) c/2=2/3( co...

    Text Solution

    |

  12. The sides of a triangle are in A.P. and its area is (3)/(5) th of an e...

    Text Solution

    |

  13. If AD, BE and CF are the medians of a Delta ABC, then evaluate (AD^(2)...

    Text Solution

    |

  14. Let AD be a median of the Delta ABC. If AE and AF are medians of the ...

    Text Solution

    |

  15. Find the radian measure corresponding to following degree measure 3...

    Text Solution

    |

  16. DeltaABC is equilateral triangle of side a. P lies on AB such that A i...

    Text Solution

    |

  17. The base of a triangle is divided into three equal parts. If theta(1)...

    Text Solution

    |

  18. Find the value of sin ((31pi)/3)

    Text Solution

    |

  19. If the angle at the vertex of an isosceles triangle having the maximum...

    Text Solution

    |

  20. Find the value of trigonometric function sin((5pi)/3)

    Text Solution

    |