Home
Class 12
MATHS
Let P be any moving point on the circle ...

Let `P` be any moving point on the circle `x^2+y^2-2x=1. A B` be the chord of contact of this point w.r.t. the circle `x^2+y^2-2x=0` . The locus of the circumcenter of triangle `C A B(C` being the center of the circle) is `2x^2+2y^2-4x+1=0` `x^2+y^2-4x+2=0` `x^2+y^2-4x+1=0` `2x^2+2y^2-4x+3=0`

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    MOTION|Exercise Exercise - 1 (Objective Problems | JEE Main)|48 Videos

  • CIRCLE

    MOTION|Exercise Exercise - 2(Level - I) (Objective Problems | JEE Main)|39 Videos

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise -4 (Level - II) ( Previous Year )|7 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 Videos

Similar Questions

Explore conceptually related problems

Let P be any moving point on the circle x^(2)+y^(2)-2x=1.AB be the chord of contact of this point w.r.t.the circle x^(2)+y^(2)-2x=0 .The locus of the circumcenter of triangle CAB(C being the center of the circle is 2x^(2)+2y^(2)-4x+1=0x^(2)+y^(2)-4x+2=0x^(2)+y^(2)-4x+1=02x^(2)+2y^(2)-4x+3=0

The chord of contact of (2,1) w.r.t to the circle x^(2)+y^(2)+4x+4y+1=0 is

Find the point of contact of the tangent x+y-7=0 to the circle x^2+y^2-4x-6y+11=0

Find the equation of line joining the center of the circles x^(2)+y^(2)-2x+4y+1=0 and 2x^(2)+2y^(2)-2y+4x+1=0

The radical center of the circles x^(2)+y^(2)-4x-6y+5=0 , x^(2)+y^(2)-2x-4y-1=0 , x^(2)+y^(2)-6x-2y=0 .

" If "x+y+7=0" is a tangent to the circle "x^(2)+y^(2)-4x-6y+k=0" then the point of contact is "

If the circle x^(2)+y^(2)+4x+22y+c=0 bisects the circumference of the circle x^(2)+y^(2)-2x+8y-d=0 then c+d

If the circle x^(2)+y^(2)+4x+22y+c=0 bisects the circumference of the circle x^(2)+y^(2)-2x+8y-d=0, then (c+d) is equal to

MOTION-CIRCLE-Exercise - 4 | Level - II (Previous Year | JEE Advanced
  1. Let P be any moving point on the circle x^2+y^2-2x=1. A B be the chord...

    Text Solution

    |

  2. Let A B C D be a quadrilateral with are 18 , side A B parallel to the ...

    Text Solution

    |

  3. Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169, S...

    Text Solution

    |

  4. Consider the two curves C1 ; y^2 = 4x, C2 : x^2 + y^2 - 6x + 1 = 0 the...

    Text Solution

    |

  5. Consider, L(1) : 2x + 3y + p – 3 = 0 , L(2) : 2x + 3y + p + 3 = 0, whe...

    Text Solution

    |

  6. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  7. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  8. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  9. Tangents drawn from the point P(1,8) to the circle x^(2) + y^(2) - 6x ...

    Text Solution

    |

  10. The centres of two circles C(1) and C(2) each of unit radius are at a...

    Text Solution

    |

  11. Two parallel chords of a circle of radius 2 are at a distance sqrt3 + ...

    Text Solution

    |

  12. The circle passing through the point (-1,0) and touching the y-axis at...

    Text Solution

    |

  13. The straight line 2x – 3y = 1 divides the circular region x^(2) + y^(2...

    Text Solution

    |

  14. The locus of the mid-point of the chord of contact of tangents drawn f...

    Text Solution

    |

  15. A possible equation of L is (A) x 3y 1 (B) x 3y 1 (C) x 3y 1 (D) x...

    Text Solution

    |

  16. A tangent PT is drawn to the circle x^2+y^2=4 at the point P(sqrt3,1)....

    Text Solution

    |

  17. A possible equation of L is (A) x 3y 1 (B) x 3y 1 (C) x 3y 1 (D) x...

    Text Solution

    |

  18. A circle s passes through the point ( 0,1) and is orthogonal to the ci...

    Text Solution

    |

  19. Let , RS be the diameter of the circle x^(2) + y^(2) = 1 , where S...

    Text Solution

    |

  20. For how many values of p, the circle x^2+y^2+2x+4y-p=0 and the coordin...

    Text Solution

    |

  21. Let T be the line passing the points P(–2, 7) and Q(2,–5). Let F(1) be...

    Text Solution

    |