Home
Class 12
MATHS
Let f (x+y)=f(x). f(y) for all x and y f...

Let `f (x+y)=f(x). f(y)` for all x and y `f(1)=2` If in a triangle `ABC, a =f (3),b=f(1)+f (3), c=f (2)+f (3), `

A

C

B

2C

C

3C

D

4C

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 Exercise For Sesssion 8|5 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

Let f(x+y)=f(x).f(y) for all x and y and f(1)=2. If in as triangle ABC, a=f(3), b=f(1)+f(3), c=f(2)+f(3), then 2A= (A) C (B) 2C (C) 3C (D) 4C

Let f(x+2y)=f(x)(f(y))^(2) for all x,y and f(0)=1. If f is derivable at x=0 then f'(x)=

Let f(x+y)=f(x).f(y) for all x and y suppose f(5)=2 and f'(0)=3. Find f'(5) .

f(x+y)=f(x)*f(y) for all x,y anf f(5)=2,f'(0)=3 then f(5) will be

If f(x+y)=f(x)f(y) for all real x and y, f(6)=3 and f'(0)=10 , then f'(6) is

Let f(x+y)=f(x)f(y) for all x and y . Suppose f(5)=2 and f^(prime)(0)=3 , find f^(prime)(5) .

If f(2(x)/(y))=f(2x)-f(y) for all x,y>0 and f(3)=2, then the value of [f(7)], is

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
  1. Let a,b,c be the sides of a triangle. No two of them are equal and lam...

    Text Solution

    |

  2. In triangle ABC, if P, Q, R divides sides BC, AC and AB, respectively,...

    Text Solution

    |

  3. Let f (x+y)=f(x). f(y) for all x and y f(1)=2 If in a triangle ABC, a ...

    Text Solution

    |

  4. Let a, b c be given positive numbers, then values of x,y and z in R^(+...

    Text Solution

    |

  5. If 't(1)' , 't(2)' and 't(3)' are the lengths of the tangents draen fr...

    Text Solution

    |

  6. In triangle ABC, angle A gt pi/2. A A(1) and A A(2) are the medium and...

    Text Solution

    |

  7. In an ambiguoa ambiguous case of solving a triangleshen a = sqrt5,b =...

    Text Solution

    |

  8. If R1 is the circumradius of the pedal triangle of a given triangle A ...

    Text Solution

    |

  9. If in a triangle (1-(r1)/(r2))(1-(r1)/(r3))=2 then the triangle is rig...

    Text Solution

    |

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

    Text Solution

    |

  11. In a DeltaABC, angles A,B,C are in AP, then lim(AtoC)(sqrt(3-4A sinC))...

    Text Solution

    |

  12. In a triangle ABC, (a+b+c)(b+c-a)=lambdabc if

    Text Solution

    |

  13. In the triangle ABC, if (a^(2)+b^(2)) sin (A-B)=(a^(2) -b^(2)) sin (A+...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |