Home
Class 11
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 d(x,y)=1 is a

A

circle of area `pi` sq unit

B

square of area 1 sq unit

C

square of area 2 sq unit

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos

  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos

Similar Questions

Explore conceptually related problems

The distance between the points (x,-y) and (-x,y) is

If the distance of a given point (alpha,beta) from each of two straight lines y = mx through the origin is d, then (alpha gamma- beta x)^(2) is equal to (a) x^(2) +y^(2) (b) d^(2)(x^(2)+y^(2)) (c) d^(2) (d) none of these

The distance of the straight line a(x-a)+b(y-b)=0 from the origin is -

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

Plot the region of the points P(x,y) satisfying 2 gt max. {|x|, |y|}.

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

If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 from its center is r , then r is equal to

The distance of the line 2x-3y=4 from the point (1,1) in the direction of the line x+y=1 is

The square of the distance between the points (x,-y) and (-x,y) is -

Which of the following is / are true ? (a) If |x+y|=|x|+|y| then points (x,y) lie in 1st or 3rd quadrant or any of the x-axis or y axis (b) If |x+y| lt |x|+|y| then points (x,y) lie in 2nd or 4th quadrant. (c ) If |x-y|=|x|+|y| then points (x,y) lie in 2nd or 4th quadrant.

PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. If 2/(1!9!)+2/(3!7!)+1/(5!5!)=2^m/(n!) , then orthocentre of the trian...

    Text Solution

    |

  2. Draw from origin are two mutually perpendicular lines forming an isosc...

    Text Solution

    |

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

    Text Solution

    |

  4. If f(x+y)=f(x)f(y),forall x,y,inR and f(1)=2, then area enclosed by 3|...

    Text Solution

    |

  5. If the point (cos theta, sin theta) does not fall in that angle betwee...

    Text Solution

    |

  6. The pair of lines joining the origin to the points of intersection of ...

    Text Solution

    |

  7. Given the family of lines, a(3x+4y+6) +b(x+y+2)=0. The line of the fam...

    Text Solution

    |

  8. A ray of light passing through the point A(1,2) is reflected at a poin...

    Text Solution

    |

  9. A ray of light coming from the point (1,2) is reflected at a point A o...

    Text Solution

    |

  10. A pair of perpendicular straight lines drawn through the origin from a...

    Text Solution

    |

  11. A line passing through the point (2,2) and the axes enclose an area la...

    Text Solution

    |

  12. The distance of the line 2x-3y=4 from the point (1,1) in the direction...

    Text Solution

    |

  13. If one of the pair of lines ax^2+2hxy+by^2=0 bisects the angle between...

    Text Solution

    |

  14. The limiting position of the point of intersection of the straight lin...

    Text Solution

    |

  15. If in triangle ABC, A=(1, 10), circumcentre=(-1/3, 2/3) and orthocentr...

    Text Solution

    |

  16. The points (p+1,1), (2p+1,3) and (2p+2, 2p) are collinear, if

    Text Solution

    |

  17. If the coordinates of the vertices of a triangle are rational numbers,...

    Text Solution

    |

  18. If one vertex of an equilateral triangle of side a, lies at the origin...

    Text Solution

    |

  19. Consider the straight lines x+2y+4=0 and 4x+2y-1=0. The line 6x+6y+7=0...

    Text Solution

    |

  20. If 6a^2-3b^2-c^2+7ab-ac+4bc=0, then the family of lines ax+by+c=0 is c...

    Text Solution

    |