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

If `f(x+2y , x-2y)=x y ,` then `f(x,y)` equals

A

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

B

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

C

`(x^(2)+y^(2))/(4)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|39 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|3 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos

  • SEQUENCES AND SERIES

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

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 8 : (Questions Asked in Previous 13 years Exams)|1 Videos

Similar Questions

Explore conceptually related problems

If f(2x+3y ,2x-7y)=20 x ,t h e nf(x , y)e q u a l sdot 7x-3y 7x+3y 3x-7y (d) x-k y

If f: R rarrR satisfying: f(x-f(y)) = f(f(y) +f(x)-1, for all x, y in R , then -f(10) equals.

If a curve y=f(x) passes through the point (1,-1) and satisfies the differential equation ,y(1+x y)dx""=x""dy , then f(-1/2) is equal to:

If 2^(x)+2^(y)=2^(x+y) then (dy)/(dx) is equal to

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

If (x,2) and (-2,y) are equal, then find x and y .

If f is a real valued differentiable function satisfying | f (x) - f (y) | le (x - y) ^(2) for all real x and y and f (0) =0 then f (1) equals :

If f(x-y), f(x) f(y), and f(x+y) are in A.P. for all x, y, and f(0) ne 0, then

If y = tan x, then at x = pi/2 , y_2 is equal to

If y = sin x, then at x = pi/2 , y_2 is equal to