Home
Class 12
MATHS
Let S-=x^2+y^2+2gx+2f y+c= be a given ci...

Let `S-=x^2+y^2+2gx+2f y+c=` be a given circle. Find the locus of the foot of the perpendicular drawn from the origin upon any chord of S which subtends a right angle at the origin.

Promotional Banner

Topper's Solved these Questions

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

  • Binomial Theorem for Positive Integrel Index

    A DAS GUPTA|Exercise Exercise|113 Videos

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

Similar Questions

Explore conceptually related problems

Let S-=x^(2)+y^(2)+2gx+2fy+c= be a given circle.Find the locus of the foot of the perpendicular drawn from the origin upon any chord of S which subtends a right angle at the origin.

The locus of the foot of the perpendicular, from the origin to chords of the circle x^(2)+y^(2)-4x-6y-3=0 which subtend a right angle at the origin,is:

The foot of the perpendicular drawn from the origin to the plane x+y+z=3 is

Find the coordinates of the foot of the perpendicular drawn from the origin to the plane 2x-3y+4z-6=0

Find the coordinates of the foot of the perpendicular drawn from the origin to the plane 2x-3y+4z-6=0

The coordinates of the foot of perpendicular drawn from the origin to the plane 2x+y-2z=18 are ……

Find the locus of the foot of the perpendicular drawn from the point (7,0) to any tangent of x^(2)+y^(2)-2x+4y=0

Co - ordinates of the foot of the perpendicular drawn from the origin to the plane 2x+3y-4z + 1 = 0 are

A DAS GUPTA-Circles-EXERCISE
  1. A triangle has two of its sides along the axes, its third side touches...

    Text Solution

    |

  2. The locus of the perpendiculars drawn from the point (a, 0) on tange...

    Text Solution

    |

  3. Let S-=x^2+y^2+2gx+2f y+c= be a given circle. Find the locus of the fo...

    Text Solution

    |

  4. Show that the locus of points from which the tangents drawn to a circl...

    Text Solution

    |

  5. Find the locus of the point of intersection of tangents to the circle ...

    Text Solution

    |

  6. The circle x^2+y^2-4x-4y+4=0 is inscribed in a triangle which has two ...

    Text Solution

    |

  7. The locus of the centres of the circles which touch x^2+y^2=a^2 and x^...

    Text Solution

    |

  8. Locus of the point of intersection of perpendicular tangents to the ...

    Text Solution

    |

  9. If the polar of a point (p,q) with respect to the circle x^2 +y^2=a^2 ...

    Text Solution

    |

  10. Find the locus of the centres of the circle which cut the circles x^2+...

    Text Solution

    |

  11. The circle (x-a)^2+(y-a)^2=a^2 is rolled on the y-a xi s in the positi...

    Text Solution

    |

  12. The circle x^2+y^2 - 4x-8y + 16 = 0 rolls up the tangent to it at (2+s...

    Text Solution

    |

  13. The centre of a circle (1, 1) and its radius is 5 units. If the centre...

    Text Solution

    |

  14. The point of intersection of the lines x - y + 1 =0 and x + y + 5 = 0 ...

    Text Solution

    |

  15. A circle touches x-axis at (2, 0) and has an intercept of 4 units on y...

    Text Solution

    |

  16. Tht line L passes through the points f intersection of the circles x ^...

    Text Solution

    |

  17. The equation of the locus of the mid-points of chords of the circle 4...

    Text Solution

    |

  18. The sides of a square are x =4, x = 7, y =1 and y = 4 . The equation...

    Text Solution

    |

  19. If (4, 1) be an end of a diameter of the circle x^2 + y^2 - 2x + 6y-15...

    Text Solution

    |

  20. 7y-x-5=0 touches the circle x^2+y^2-5x+5y=0. The equation of other par...

    Text Solution

    |