Home
Class 12
MATHS
A point moves in the xy-plane such that ...

A point moves in the xy-plane such that the sum of its distances from two mutually perpendicular lines is always equal to 5 units. The are (in square units) enclosed by the locus of the point, is

A

`25/4`

B

25

C

50

D

100

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2017

    SIA PUBLICATION|Exercise CHEMISTRY|3 Videos
  • SYSTEM OF CIRCLE

    SIA PUBLICATION|Exercise PROBLEMS|24 Videos

Similar Questions

Explore conceptually related problems

A point moves in the xy - plane such that th sum of its, distances from two mutually perpendicular lines is always equal to 5 units. The area (in square units) enclosed by the locus of the point is

A point moves in the XY-plane such that the sum of its distances from two mutually perpendicular lines is always equal to 3. The area enclosed by the locus of that point is (in sq, units)

If the sum of the distance of a point P from two perpendicular lines in a plane is 1, then the locus of P is a

Sum of the distances of a point from two per pendicular lines is 3. The area enclosed by the locus of the point is

The locus of a point such that the sum of its distances from the points ( 0 ,2 ) and ( 0, -2 ) is 6 is

Show that the locus of a point such that the ratio of its distances from two given points is a constant k (ne 1) is a circle.

The point P moves such that the sum of the squares of its distances from two fixed points A(a,0),B(-a,0) is 8a^(2) the locus of P is

Show that the locus of a point such that the ratio of its distances from two given points is a constant k(!=1) , is a circle.

SIA PUBLICATION-STRAIGHT LINE-EXERCISE (PROBLEMS)
  1. The perpendicular distance from the point (1,pi) to the line joining (...

    Text Solution

    |

  2. The equation of a straight line passing through the point (1, 2) and i...

    Text Solution

    |

  3. A point moves in the xy-plane such that the sum of its distances from ...

    Text Solution

    |

  4. The number of points P(x, y) with natural numbers as coordinates that ...

    Text Solution

    |

  5. The image of the point (3, 8) in the line x+3y=7 is

    Text Solution

    |

  6. The line joining the points A(2,0) and B(3,1) is rotated through an an...

    Text Solution

    |

  7. The polar equation of the line perpendicular to the line sin theta-cos...

    Text Solution

    |

  8. If a straight line L is perpendicular to the line 4x-2y=1 and forms a ...

    Text Solution

    |

  9. The image of the point (4, -13) with respect to the line 5x+y+6=0 is :

    Text Solution

    |

  10. The image of the line x+y-2=0 in the y-axis is

    Text Solution

    |

  11. A straight line which makes equal positive intercepts on X and Y axes ...

    Text Solution

    |

  12. The area (in square unit ) of the circle which touches the lines 4x+3y...

    Text Solution

    |

  13. The point on the line 3x+4y=5 which is equidistant from (1, 2) and (3,...

    Text Solution

    |

  14. The equation of the straight line perpendicular to the straight line 3...

    Text Solution

    |

  15. If the sum of the distance of a point P from two perpendicular lines i...

    Text Solution

    |

  16. If 1, m, n are in arithmetic progression, then the straight line lx+my...

    Text Solution

    |

  17. The value of k such that the lines 2x-3y+k =0, 3x-4y-13=0 and 8x-11y -...

    Text Solution

    |

  18. The angle between the line joining the points (1,-2), (3,2) and the li...

    Text Solution

    |

  19. If A(2,-1) and B(6,5) are two points. The ratio in which the foot of t...

    Text Solution

    |

  20. The lines x-y-2=0,x+y-4=0 and x+3y=6 meet at the common point

    Text Solution

    |