Home
Class 12
MATHS
If the distance of any point (x,y) from ...

If the distance of any point `(x,y)` from origin is defined as `d(x,y)=max{|x|,|y|}`, then the locus of the point `(x,y)` where `d(x,y)=1` is

A

a circle

B

a straight line

C

a square

D

a triangle

Text Solution

Verified by Experts

The correct Answer is:
B
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 the distance of any point (x, y) from origin is defined as d(x,y)="m ax"{|x|,|y|} , then the locus of the point (x,y) , where (x,y)=1 is:

Find the distance of point P(x,y) from the origin

The distance of the point (x,y) from the origin is defined as d = max . {|x|,|y|} . Then the distance of the common point for the family of lines x (1 + lambda ) + lambda y + 2 + lambda = 0 (lambda being parameter ) from the origin is

If the distance of the point P(x, y) from A(a, 0) is a+x , then y^(2)=?

Distance of any point P(x,y) from origin is defined by d=max{|x|,|y|} and if alpha^(2)+beta^(2)-2 alpha+4 beta+5=0, then distance of A(alpha,beta) from origin is .....

If the distance of any point P(x,y) from the point Q(x_(1),y_(1)) is given by d(P,Q)=max.{|x-x_(1)|,|y-y_(1)|} .If Q=(1,2) and d(P,Q)=3 ,then the locus of P is

The distance of the point (x,y,z) from xy-plne is (A) x (B) |y| (C) z (D) |z|

Describe the locus of the point (x, y) satisfying the equation x-y=0

The minimum distance of a point on the curve y=x^2-4 from origin ,

ARIHANT MATHS-THE STRAIGHT LINES-Exercise (Single Option Correct Type Questions)
  1. The set of values of b for which the origin and the point (1, 1) lie o...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. A straight line l with negative slope passes through (8,2) and cuts th...

    Text Solution

    |

  17. Drawn from origin are two mutually perpendicular lines forming an iso...

    Text Solution

    |

  18. The number of integral values of m for which the x-coordinate of the p...

    Text Solution

    |

  19. A ray of light coming fromthe point (1, 2) is reflected at a point A o...

    Text Solution

    |

  20. Consider the family of lines 5x+3y-2 + lambda (3x-y-4)=0 and x-y+1 +...

    Text Solution

    |