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

If `f(x+y) = f(x).f(y)` for all `x and y. f(1)=2`, then area enclosed by `3|x|+2|y|le 8` is (A) `f(5)` sq. units (B) `f(6)` sq. units (C) `1/3 f(6)` sq. units (D) `f(4)` sq. units

A

f(4)sq units

B

`1/2`f(6) sq units

C

`1/3 `f(6) sq units

D

`1/3` f(5) sq units

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|12 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 6|12 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

If f(x+y)=f(x)f(y)AA x,y in R and f(a)=2 then area enclosed by 3|x|+2|y|le8 is:

The area of the region bounded by the curves y=|x-1| and y=3-|x| is (A) 6 sq. units (B) 2 sq. units (C) 3 sq. units (D) 4 sq. units

The area enclosed by 2|x|+3|y|<=6 is (a) 3 sq.units (b) 4 sq.units (c)12 sq.units (d) 24 sq.units

The area bounded by the curve y=4x-x^2 and x-axis is (A) 30/7 sq. units (B) 31/7 sq. units (C) 32/3 sq. units (D) 34/3 sq. units

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

The area bounded by the curves y=log_(e)x and y=(log_(e)x)^(2) is (A) e-2 sq.units (B) 3-e sq.units (C) e sq.units (D) e-1 sq. units

The area bounded by the parabola y=(x+1)^2 and y=(x-1)^2 and the line y=1/4 is (A) 4 sq. units (B) 1/6 sq. units (C) 3/4 sq. units (D) 1/3 sq. units

The area of the region enclosed by the curves y=x, x=e, y=1/x and the positive x-axis is (A) 3/2 sq. units (B) 5/2 sq. units (C) 1/2 sq. units (D) 1 sq. units

The area of the region bounded by the straight lines x=2y, x=3y and x=6 , is (A) 3 sq.units (B) 4 sq.units (C) 2 sq.units (D) 1 sq.unit

ARIHANT MATHS-THE STRAIGHT LINES-Exercise (Single Option Correct Type Questions)
  1. The straight line y = x - 2 rotates about a point where it cuts x-axis...

    Text Solution

    |

  2. If 2/(1 !9!)+2/(3!7!)+1/(5!5!)=2/(a!), then orthocentre of the triangl...

    Text Solution

    |

  3. If f(x+y) = f(x).f(y) for all x and y. f(1)=2, then area enclosed by 3...

    Text Solution

    |

  4. The graph of the function, cos x cos (x +2) -cos^2 (x+1) is

    Text Solution

    |

  5. A straight line passing through the point(2,2) and the axes enclose an...

    Text Solution

    |

  6. The set of values of b for which the origin and the point (1, 1) lie o...

    Text Solution

    |

  7. Line L has intercepts a and b on the coordinate axes. When, the axes a...

    Text Solution

    |

  8. If the distance of any point (x,y) from origin is defined as d(x,y)=ma...

    Text Solution

    |

  9. If p(1),p(2),p(3) be the length of perpendiculars from the points (...

    Text Solution

    |

  10. A B C D is a square whose vertices are A(0,0),B(2,0),C(2,2), and D(0,2...

    Text Solution

    |

  11. The point (4,1) undergoes the following three successive transformatio...

    Text Solution

    |

  12. If the square ABCD, where A(0,0),B(2,0)C(2,2) and D(0,2) undergoes the...

    Text Solution

    |

  13. The line x+y=a meets the axes of x and y at A and B respectively. A ...

    Text Solution

    |

  14. If P(1,0), Q(-1,0) and R (2,0) are three given points, then the locus ...

    Text Solution

    |

  15. If A((sin alpha)/3 - 1,(cos alpha)/2 - 1) and B(1,1) alpha in [ -pi,pi...

    Text Solution

    |

  16. The line x+y=1 meets X-axis at A and Y-axis at B,P is the mid-point of...

    Text Solution

    |

  17. The line x = c cuts the triangle with corners (0,0) , (1,1) and (9,1) ...

    Text Solution

    |

  18. If the straight lines x+2y=9,3x-5y=5 and ax+by=1 are concurrent , then...

    Text Solution

    |

  19. If the ends of the base of an isosceles triangle are at (2, 0) and (0,...

    Text Solution

    |

  20. Let m ,n are integers with 0<n<mdot A is the point (m ,n) on the Carte...

    Text Solution

    |