Home
Class 12
MATHS
If f(x + 2y, x-2y) =xy, then f(x,y) is e...

If `f(x + 2y, x-2y) =xy`, then `f(x,y)` is equal to:

A

`1/4 xy`

B

`1/4(x^(2)-y^(2))`

C

`1/8 (x^(2)-y^(2))`

D

`1/2(x^(2) + y^(2))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2010

    WB JEE PREVIOUS YEAR PAPER|Exercise DESCRIPTIVE TYPE QEUSTIONS|10 Videos

  • QUESTION PAPER 2012

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

If f(2x+3y, 2x-7y)=20x, then f(x,y) equals :

Let f(x+y) = f(x) . f(y) for all x,y where f(0) ne 0. If f(5) =2 and f'(0) =3 , then f'(5) is equal to

If x(dy)/(dx) +y= (xf(xy))/(f'(xy)) , then |f(xy)| is equal to

A mapping f is defined : f:(x,y)rarr (x+y,x-y) then f(-1,-2) is equal to

If f is a real valued difrerentiable function satisfying | f (x) - f (y) | le (x -y) ^(2) for all, x,y in RR and f(0) =0, then f(1) is equal to-

If f (x+y, x-y)=xy, then the arithmetic mean of f (x,y) and f(y,x) is-

The function f satisfies the relation f(x+y) =f(x) f(y) for all ral x, y and f(x) ne 0. If f(x) is differentiable at x=0 and f'(0) =2, then f'(x) is equal to-

If f(x+y,x-y)=xy then the arithmetic mean of f(y, x) & f(x,y)

Let f((x+y)/(2))=1/2 |f(x) +f(y)| for all real x and y, if f '(0) exists and equal to (-1), and f(0)=1 then f(2) is equal to-

Let f be a function satisfying f(x+y)=f(x)+f(y) and f(x)=x^3phi(x) for all x and y when phi (x) is a continuous function then f''(x) is equal to

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2011-MULTIPLE CHOICE QUESTIONS
  1. |{:(a-b, b-c, c-a),(b-c, c-a, a-b),(c-a, a-b, b-c):}|=

    Text Solution

    |

  2. The area enclosed between y^(2) = x and y=x is:

    Text Solution

    |

  3. Let f(x) = x^(3) e^(-3x) , x gt 0. Then the maximum value of f(x) is:

    Text Solution

    |

  4. The area bounded by y^(2) = 4x and x^(2) = 4y is:

    Text Solution

    |

  5. The acceleration of a particle starting from rest moving in a straight...

    Text Solution

    |

  6. The solution of: (dy)/(dx) = y/x + tan y/x is:

    Text Solution

    |

  7. Integrating Factor (I.F). Of the differential equation: (dy)/(dx) -...

    Text Solution

    |

  8. The differential equation of y=ae^(bx) (a & b are parameters) is:

    Text Solution

    |

  9. The value of: lim(n to infty) sum(r=1)^(n) r^(2)/(r^(3) + n^(3)) is:

    Text Solution

    |

  10. The value of int(0)^(pi) sin^(50)x cos^(49) x dx is:

    Text Solution

    |

  11. int 2^(x) [f'(x) + f(x) (log 2)] dx is

    Text Solution

    |

  12. Let f(x) = tan^(-1) x. Then f'(x) + f''(x) is =0, when x is equal to:

    Text Solution

    |

  13. If y= tan^(-1) ((sqrt(1+x^(2))-1)/x) , then y'(1)=

    Text Solution

    |

  14. The value of lim(x to 1) (x+x^(2)+ ….. + x^(n) -n)/(x-1) is:

    Text Solution

    |

  15. lim( x to 0) (sin (pi sin^(2)x))/x^(2) =

    Text Solution

    |

  16. If the function: f(x) = {{:((x^(2)-(A+ 2)x+A)/(x-2), "for", x ne 2),...

    Text Solution

    |

  17. f(x) ={{:([x]+[-x], "when" , x ne 2),(lambda, "when", x =2):}, If f(x)...

    Text Solution

    |

  18. The even function of the following is:

    Text Solution

    |

  19. If f(x + 2y, x-2y) =xy, then f(x,y) is equal to:

    Text Solution

    |

  20. The locus of the middle points of all chords of the parabola, y^2 = 4a...

    Text Solution

    |