Home
Class 12
MATHS
The locus of a point which is equidistan...

The locus of a point which is equidistant from `( a+ b , a-b) and (a-b, a+b)` is

A

`a x+b y=0`

B

`x-y=0`

C

`x+y=0`

D

`b x-a y=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

Similar Questions

Explore conceptually related problems

The locus of the points which are equidistant from (-a, 0) and x=a

The locus of the point equidistant from (1,-1) and (-1,1) is

If distances of a point (x, y) are equidistant from (a +b, b-a) and (a- b, a + b), prove that bx = ay.

The point whose abscissa is equal to its ordinate and which is equidistant from A(4,0) and B(0,5) is

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 c =

Find the point on the Y-axis equidistant from A(3, -6) and B(-2,5).

Find a point on the X-axis equidistant from A (5,4) and B(-2,3).

If the point P (x, y) is equidistant from the points A (a + b, b - a) and B(a -b, a + b). Prove that bx = ay.

Find a point on Z- axis which is equidistant from A(1,5,7) and B(5,1,-4) Units.

The point P is equidistant from A(1,3) B(-3,5) and C(5,-1) . Then P A=

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. A line makes zero intersects on x axis and y axis and it is prependicu...

    Text Solution

    |

  2. If p is the length of the perpendicular from the origin on the line wh...

    Text Solution

    |

  3. The locus of a point which is equidistant from ( a+ b , a-b) and (a-b,...

    Text Solution

    |

  4. What is the equation of the locus of a point which moves such that 4 t...

    Text Solution

    |

  5. Equation of the straight line making equal intercepts on the axes and ...

    Text Solution

    |

  6. Equation of the straight line making equal intercepts on the axes and ...

    Text Solution

    |

  7. If the area of the triangle with vertices (x, 0). (1.1) and (0.2) is 4...

    Text Solution

    |

  8. If (0,-1) and (0,3) are two vertices of a square, the other two vertic...

    Text Solution

    |

  9. The equation to the line bisecting the join of (3,-4) and (5,2) and ha...

    Text Solution

    |

  10. If the lines x+3y-9=0, 4x+by-2=0 and 2x-y-4=0 are concurrent, then b ...

    Text Solution

    |

  11. The co-ordinates of the foot of the perpendicular drawn from the point...

    Text Solution

    |

  12. The coordinates of the circumcentre of the triangle with vertices (2,3...

    Text Solution

    |

  13. The orthocentre of the triangle formed by A(1,2), B(-2,2), C(1,5) is

    Text Solution

    |

  14. The medians AD and BE of a triangle with vertices A (0, b), B(0, 0) an...

    Text Solution

    |

  15. The lines 2 x+11 y-5=0,4 x-3 y-2=0 and 24 x+7 y-20=0

    Text Solution

    |

  16. A st. line through the point (2, 2) intersects the lines sqrt(3)x+y=0 ...

    Text Solution

    |

  17. A triangle with vertices (4, 0), (-1, -1), (3, 5) is :

    Text Solution

    |

  18. If x(1), x(2), x(3) as well as y(1), y(2), y(3) are in G.P. with the s...

    Text Solution

    |

  19. A square of side 4 a lies above the x -axis and has one vertex at the...

    Text Solution

    |

  20. If the equation of the locus of a point equidistant from the points (a...

    Text Solution

    |