Home
Class 11
MATHS
A point moves so that the differerence o...

A point moves so that the differerence of the squares of its distance from the x-axis and the y-axis is constant. Find the equation of its locus.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2) - y ^(2) =a `
Promotional Banner

Topper's Solved these Questions

  • POINTS AND THEIR COORDINATES

    ICSE|Exercise EXERCISE 26 (B)|14 Videos

  • POINTS AND THEIR COORDINATES

    ICSE|Exercise CHEPTER TEST |7 Videos

  • POINTS AND THEIR COORDINATES

    ICSE|Exercise CHEPTER TEST |7 Videos

  • PERMUTATIONS AND COMBINATIONS

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS |32 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS |11 Videos

Similar Questions

Explore conceptually related problems

The locus of a point which moves so that the difference of the squares of its distance from two given points is constant, is a

A point moves so that the sum of the squares of its distances from two intersecting straight lines is constant. Prove that its locus is an ellipse.

A point moves so that its distance from the point (-2, 3) is always three times its distance from the point (0, 3) . Find the equation to its locus.

A point P(x, y) moves so that the sum of its distances from the points S(4, 2) and S^(') (-2, 2) is 8. Find the equation of its locus and show that it is an ellipse.

A point P is such that the sum of the squares of its distances from the two axes of co-ordinates is equal to the square of its distance from the line x-y=1 . Find the equation of the locus of P.

Prove that the locus of the point that moves such that the sum of the squares of its distances from the three vertices of a triangle is constant is a circle.

A point moves such that the sum of the squares of its distances from the sides of a square of side unity is equal to 9, the locus of such point is

Prove that the locus of a point which moves such that the sum of the square of its distances from the vertices of a triangle is constant is a circle having centre at the centroid of the triangle.

A point moves such that the sum of the squares of its distances from the two sides of length ‘a’ of a rectangle is twice the sum of the squares of its distances from the other two sides of length b. The locus of the point can be:

Find the locus of a point equidistant from the point (2,4) and the y-axis.

ICSE-POINTS AND THEIR COORDINATES -EXERCISE 26 (A)
  1. Find the distance from the origin to each of the point: (2,2,3)

    Text Solution

    |

  2. Find the distance from the origin to each of the point: (4, -1, 2)

    Text Solution

    |

  3. Find the distance from the origin to each of the point: (0, 4,-4)

    Text Solution

    |

  4. Find the distance from the origin to each of the point: (-4,-3,-2)

    Text Solution

    |

  5. Find the distance between each of pair of point: (2,5,3 and (-3,2,1)...

    Text Solution

    |

  6. Find the distance between each of pair of point: (0,3,0) and (6,0,2)

    Text Solution

    |

  7. Find the distance between each of pair of point: (-4,-2,0) and (3,3,...

    Text Solution

    |

  8. Show that the triangle with vetices (6,10,10) , (1,0, -5), (6, -10, 0)...

    Text Solution

    |

  9. Show that the triangle with vertices A (3,5,-4), B (-1, 1,2) C (-5,-5,...

    Text Solution

    |

  10. Show that (4,2,4) , (10, 2, -2) and (2, 0, -4) are the vertices of an ...

    Text Solution

    |

  11. Show that the point A (1,-1,3), B ( 2,-4,5) and C ( 5,-13,11) are col...

    Text Solution

    |

  12. Derive the equation of the locur of a point equidistant from the point...

    Text Solution

    |

  13. Derive the equation of the locus of a point twice as far from (-2,3,4)...

    Text Solution

    |

  14. Find the equation of the locus of a point whose distance from the y-ax...

    Text Solution

    |

  15. Find the equation of the locus of point whose distance from the xy-pla...

    Text Solution

    |

  16. A point moves so that the differerence of the squares of its distance ...

    Text Solution

    |

  17. Find the equation of the locus of a point whose distanace from the z-a...

    Text Solution

    |