Home
Class 12
MATHS
The locus of the point (x, y) which is ...

The locus of the point (x, y) which is equidistant from the points (a + b, b - a) and (a - b, a + b) is

A

ax = by

B

ax + by = 0

C

bx + ay = 0

D

bx - ay = 0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|53 Videos

  • STATISTICS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|40 Videos

  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos

Similar Questions

Explore conceptually related problems

The locus of a point which is equidistant from the points (1, 1) and (3, 3) is

Find a relation between x and y such that the point (x, y) is equidistant from the points (-2, 8) and (-3, -5)

Find the coordinates of the point which divides the line segment joining the points (a + b, a - b) and (a - b, a + b) in the ratio 3 : 2 internally

Find the a relation between x and y such that the point (x, y) is equidistant from the points (7,1) and (3, 5) .

Find a point on the Y-axis which is equidistant from both the points A(6, 5) and B(– 4, 3).

The points (x,y) is equidistant from the points (3,4) and (-5,6) . Find a relation between x and y.

If the equation of the locus of a point equidistant from the points (a_1, b_1) and (a_2, b_2) is (a_1-a_2)x+(b_1-b_2)y+c=0 , then the value of c is

The area of the triangle with vertices at the points (a, b + c), (b, c + a) and (c, a + b) is

Statement 1: Each point on the line y-x+12=0 is equidistant from the lines 4y+3x-12=0,3y+4x-24=0 Statement 2: The locus of a point which is equidistant from two given lines is the angular bisector of the two lines.

The equation of a line through the point (1, 2) whose distance from the point(3, 1) has the greatest value, is

NEW JOYTHI PUBLICATION-STRAIGHT LINES-QUESTIONS FROM COMPETITIVE EXAMS
  1. If x(1),x(2),x(3)as well as y(1),y(2),y(3) are in geometric progressio...

    Text Solution

    |

  2. The distance between the pair of parallel lines x^(2) + 4xy + 4y^(2) ...

    Text Solution

    |

  3. The locus of the point (x, y) which is equidistant from the points (a...

    Text Solution

    |

  4. If A(3,5), B(-5, - 4), C(7, 10) are the vertices of a parallelogram, ...

    Text Solution

    |

  5. ABC is a triangle with vertices A(-1,4), B(6,-2), and C(-2, 4). D, E...

    Text Solution

    |

  6. If the pairs of lines x^(2) – 2nxy - y^(2) = 0 and x^(2) – 2mxy - y^(...

    Text Solution

    |

  7. The angle between the pair of straight lines y^(2)sin^(2)theta - xy s...

    Text Solution

    |

  8. If the equation of base of an equilateral triangle is 2x - y = 1 and ...

    Text Solution

    |

  9. The image of the origin with reference to the line 4x + 3y - 25 = 0 i...

    Text Solution

    |

  10. The position of reflection of the point (4, 1) about the line y = x -...

    Text Solution

    |

  11. The line 2x - y = 1 bisects angle between two lines. If equation of o...

    Text Solution

    |

  12. The ratio in which the line x+y=4 divides the line joining the points...

    Text Solution

    |

  13. The angle between the lines sqrt3 x – y–2 = 0 and x – sqrt3 y+1=0 is

    Text Solution

    |

  14. Let Q(a, b) be a point on the line x+y=1. Then the equation of a set ...

    Text Solution

    |

  15. The equation of the line passing through the origin and the point of ...

    Text Solution

    |

  16. The vertices A, B, C of a triangle are (2, 1), (5, 2) and (3, 4) resp...

    Text Solution

    |

  17. The x-axis, y-axis and a line passing through the point A(6,0) form a...

    Text Solution

    |

  18. The equations of the lines through the point (3, 2) which makes an an...

    Text Solution

    |

  19. The straight lines 3x + 4y - 5 = 0 and 4x -3y = 15 intersect at the p...

    Text Solution

    |

  20. The equation of the line which is such that the portion of line segme...

    Text Solution

    |