Home
Class 14
MATHS
Let f(x, y)=|x+y| and g(x, y)=|x-y|, the...

Let `f(x, y)=|x+y| and g(x, y)=|x-y|`, then how many ordered pairs of the form (x, y) would satisfy `f(x, y)=g(x, y)`

A

1

B

2

C

4

D

infinitely many

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELEMENTS OF ALGEBRA

    QUANTUM CAT|Exercise QUESTION BANK|196 Videos
  • GEOMETRY

    QUANTUM CAT|Exercise QUESTION BANK|547 Videos

Similar Questions

Explore conceptually related problems

Let f(x,y)=(x-y)/(x+y),x+y!=1, then

Number of ordered pair (x, y) satisfying x^(2)+1=y and y^(2)+1=x is

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

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

Let f(x+y)=f(x)+f(y) and f(x)=x^(2)g(x)AA x,y in R where g(x) is continuous then f'(x) is

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

QUANTUM CAT-FUNCTIONS AND GRAPHS-QUESTION BANK
  1. Let a function is defined as f(x)=(a^(x)+a^(-x))/(2), a gt 0, what is ...

    Text Solution

    |

  2. If |(30-x)/(3)|lt4, then find x

    Text Solution

    |

  3. Let f(x, y)=|x+y| and g(x, y)=|x-y|, then how many ordered pairs of th...

    Text Solution

    |

  4. What is the value of x if |x-1|+|x|=2:

    Text Solution

    |

  5. Which of the following graph represents e^(-x)?

    Text Solution

    |

  6. Which of the following graph represents e^(-x)?

    Text Solution

    |

  7. A function is defined as f(x)=a^x AA x in R and 0ltalt1, then which of...

    Text Solution

    |

  8. The following figure represents various functions. Match the figure wi...

    Text Solution

    |

  9. The following figure represents various functions. Match the figure wi...

    Text Solution

    |

  10. The following figure represents various functions. Match the figure wi...

    Text Solution

    |

  11. The following figure represents various functions. Match the figure wi...

    Text Solution

    |

  12. The following figure represents various functions. Match the figure wi...

    Text Solution

    |

  13. The following figure represents various functions. Match the figure wi...

    Text Solution

    |

  14. If x=10^(y), then the graph of inverse of this function is

    Text Solution

    |

  15. then find, f(0)+f(1/2)+f(1)+f(45/18) :

    Text Solution

    |

  16. Which one of the following is true about the given graph:

    Text Solution

    |

  17. In each question there are two graphs f(x) and g(x) for the real value...

    Text Solution

    |

  18. In each question there are two graphs f(x) and g(x) for the real value...

    Text Solution

    |

  19. In the following questions a function is represented by the graph.

    Text Solution

    |

  20. In the following questions a function is represented by the graph.

    Text Solution

    |