Home
Class 12
MATHS
In a Delta ABC, angles A, B, C are in AP...

In a `Delta ABC`, angles A, B, C are in AP. If `f(x) = underset(A rarr c)(lim) (sqrt(3 - 4 sin A sin C))/(|A-C|)`, then f'(x) is equal to ..........

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|23 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise PROPERTIES AND SOLUTIONS OF TRIANGLES EXERSISE 1: SINGLE OPTION CORRECT TYPE QUESTIONS|1 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

In a Delta ABC , angles A, B, C are in AP. If f(x) = lim_(A to c) (sqrt(3 - 4 sin A sin C))/(|A-C|) , then f'(x) is equal to ..........

In any Delta ABC, sum a sin (B -C) =

In any Delta ABC, sum a(sin B - sin C) =

In a Delta ABC sin Asin B sin C <= (3sqrt3)/8

If the angle A,B,C of a Delta ABC are in A.P then :-

If the angles A, B, C (in that order) of triangle ABC are in arithmetic progression, and L=lim_(A rarr C) sqrt(3-4sinAsinC)/|A-C| then find the value of 100L^2 .

If in a !ABC , sin A, sin B and sin C are in A.P, then

If three angles A, B, and C are in A.P. prove that: cot B=(sin A-sin C)/(cos C-cos A)

In a triangle ABC , if cos A cos B + sin A sin B sin C = 1 , then a:b:c is equal to

In Delta ABC , angle B = 90 ^(@) Evaluate : cosec A cos C - sin A sec C .

ARIHANT MATHS ENGLISH-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
  1. If in a triangle (1-(r1)/(r2))(1-(r1)/(r3))=2 then the triangle is rig...

    Text Solution

    |

  2. If the median AD of a triangle ABC makes an angle theta with side, AB,...

    Text Solution

    |

  3. In a Delta ABC, angles A, B, C are in AP. If f(x) = underset(A rarr c)...

    Text Solution

    |

  4. In Delta ABC, (a + b+ c) (b + c -a) = kbc if

    Text Solution

    |

  5. In DeltaABC, (a^(2)+b^(2))/(a^(2)-b^(2))=(sin(A+B))/(sin(A-B)), prove ...

    Text Solution

    |

  6. In a DeltaABC, sides a,b,c are inAP and (2)/(1!9!)+(2)/(3!7!)+(1)/(5!5...

    Text Solution

    |

  7. If a, b,c be the sides of a triangle ABC and if roots of equation a(b-...

    Text Solution

    |

  8. The ratio of the area of a regular polygon of n sides inscribed in a c...

    Text Solution

    |

  9. In any triangle ABC sum (sin^2A+sinA+1)/sinA is always greater than or...

    Text Solution

    |

  10. If the incircel of the triangle ABC, through it's circumcentre, then t...

    Text Solution

    |

  11. The perimeter of a triangle ABC is saix times the arithmetic mean of ...

    Text Solution

    |

  12. If there are only two linear functions f and g which map [1,2] on [4,6...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. A triangle is inscribed in a circle. The vertices of the triangle divi...

    Text Solution

    |

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

    Text Solution

    |

  18. In a triangle ABC, AD is the altitude from A. If b gt c. angleC = 23^(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |