Home
Class 12
MATHS
In a DeltaABC, 2 cos A=(sin B)/(sin C) a...

In a `DeltaABC, 2 cos A=(sin B)/(sin C) and 2 ^(tan^(2)B)` is a solution of equation `x^(2)-9x +8=0,` then `DeltaABC` is

A

equilateral

B

isosceles

C

scalene

D

right angled

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|24 Videos
  • 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 PROPERTIES AND SOLUTIONS OF TRIANGLES EXERSISE 1: SINGLE OPTION CORRECT 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

In any DeltaABC, find sin A+sin B+ sin C.

In DeltaABC,if cos A+ sin A -(2)/(cos B + sin B) =0, then (a+b)/c is equal to

In DeltaABC, if sin^2 A+ sin^2 B = sin^2 C , then the triangle is

In any DeltaABC, is 2 cos B=a/c, then the triangle is

In a DeltaABC, a ^(2) cos 2B+b^(2) cos 2A+2ab cos (A-B) is equal to?

If cot ""A/2 =(b+c)/(a), then DeltaABC is

If in a DeltaABC, sin A =sin^(2) B and 2 cos ^(2)A=3 cos ^(2) B, then the DeltaABC is

In a DeltaABC, if median AD is perpendicular to AB, the tan A+2 tan B is equal to

If in a DeltaABC, (a cos A+b cos B+ c cos C)/(a sin B+b sin C+ c sin A)=(a+b+c)/(9R) , then prove that Delta is equilateral.

If in a right angle DeltaABC,4 sin A cos B-1 =0 and tan A is finite, then

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
  1. If there are only two linear functions f and g which map [1,2] on [4,6...

    Text Solution

    |

  2. A circle is inscribed in an equilateral triangle of side adot The area...

    Text Solution

    |

  3. In any triangle ABC, if sin A , sin B, sin C are in AP, then the maxim...

    Text Solution

    |

  4. In a DeltaABC, 2 cos A=(sin B)/(sin C) and 2 ^(tan^(2)B) is a solution...

    Text Solution

    |

  5. Differentiate the following w.r.t x sin^(-1)(x^(3/2))

    Text Solution

    |

  6. If a,b and c arethe sides of a traiangle such that b.c =lamda ^(2), th...

    Text Solution

    |

  7. Differentiate the following w.r.t x cos(acosx + bsinx) , for som...

    Text Solution

    |

  8. In triangle ABC, a=5, b=4 and cos(A+B)=(31)/(32) In this triangle,c=

    Text Solution

    |

  9. In a A B C ,ifA B=x , B C=x+1,/C=pi/3 , then the least integer value ...

    Text Solution

    |

  10. In an equilateral triangle, three coins of radii 1 unit each are kept ...

    Text Solution

    |

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

    Text Solution

    |

  12. Differentiate the following w.r.t x x^x + a^a

    Text Solution

    |

  13. In a triangle ABC , the line joining the circumcentre and incentre is ...

    Text Solution

    |

  14. In the given figure, AB is the diameter of the circle, centered at O. ...

    Text Solution

    |

  15. In a triangle ABC, AD, BE and CF are the altitudes and R is the circum...

    Text Solution

    |

  16. Find dy/dx , If x = a(sint - t cost) and y = a(cost + t sint)

    Text Solution

    |

  17. Differentiate the following w.r.t x (x-4)^(x^3)

    Text Solution

    |

  18. Find dy/dx , if x = 6(t-sint) , y= 4(1-cost)

    Text Solution

    |

  19. Using the fact that cos (A + B) = cosA cosB - sinA sin B and the diffe...

    Text Solution

    |

  20. Find dy/dx , if y = sin^(-1)(1-x^2)^(1/2)

    Text Solution

    |