Home
Class 12
MATHS
If the chord of contact of tangents from...

If the chord of contact of tangents from a point P `(x_1,y_1)` to the circle `x^2+y^2=a^2` touches the circle `(x-a)^2+y^2 = a^2`, then the locus of `(x_1, y_1)` is :

A

a circle

B

a parabola

C

an ellipse

D

a hyperbola.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise AIEEE/JEE Examination|9 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Questions from karnataka CET & COMED|15 Videos

Similar Questions

Explore conceptually related problems

The chord of contact of tangents drawn from any point on the circle x^2+y^2=a^2 to the circle x^2 + y^2 = b^2 touches the circle x^2 + y^2 =c^2 . Then a, b, c are in:

If the chord of contact of tangents drawn from the (h, k) to the circle x^2+y^2=a^2 subtends a right at the centre, then:

The length of the tangent from the point (1,-4) to the circle 2x^2+2y^2-3x+7y+9=0

The chord of contact of the pair of tangents drawn from each point on the line 2 x+y=4 to the circle x^(2)+y^(2)=1 passes through the point

If the chords of contact of tangents from two points (x_1,y_1) and (x_2,y_2) to the hyperbola x^2/a^2-y^2/b^2 =1 are at right angles , then (x_1x_2)/(y_1y_2) equals :

The line y=x+a sqrt(2) touches the circle x^(2)+y^(2)=a^(2) at the point

The length of the tangent drawn from any point on the circle : x^2+y^2 -4x+2y-4=0 to the circle x^2+y^2-4x+6y=0 is :

The number of tangents, which can be drawn from the point (1, 2) to the circle x^2 + y^2 = 5 is :

The length of the tangent from (5, 1) to the circle x^2+y^2+6x-4y-3=0 is :

MODERN PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -MCQs LEVEL - II
  1. The tangents drawn from the origin to the circle : x^2+y^2-2gx-2fy+f^2...

    Text Solution

    |

  2. If a circle of constant radius 3k passes through the origin and meets ...

    Text Solution

    |

  3. If the chord of contact of tangents from a point P (x1,y1) to the circ...

    Text Solution

    |

  4. The equation of a circle which has a tangent 3x + 4y = 6 and two norma...

    Text Solution

    |

  5. The tangent to x^2 + y^2= 9, which is parallel to y-axis and does not ...

    Text Solution

    |

  6. The circle x^2 + y^2 - 6x - 10y + k = 0 does not touch or intersect th...

    Text Solution

    |

  7. Two tangents to the circle x^2 + y^2 = 4 at the points A and B meet at...

    Text Solution

    |

  8. If the radical axis of the circles x^2+y^2+2gx+2fy+c=0 and 2x^2+2y^2+3...

    Text Solution

    |

  9. The equation of the circle having its centre on the line x +2y - 3 = 0...

    Text Solution

    |

  10. The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(...

    Text Solution

    |

  11. Number of common tangents to the circles : x^2+y^2 -6x-14y+48=0 and x^...

    Text Solution

    |

  12. The locus of the centre of a circle which cuts orthogonally the circle...

    Text Solution

    |

  13. Co-ordinates of radical centre of the circles : x^2+y^2 = 9 , x^2+y^2 ...

    Text Solution

    |

  14. The equation of the family of circles, which same radical axis, as the...

    Text Solution

    |

  15. If one of the circles: x^2+y^2 +2ax+c=0 and x^2+y^2 + 2bx+c=0 lies wi...

    Text Solution

    |

  16. The radius of the smallest circle, which passes through the points of ...

    Text Solution

    |

  17. The equation of the four circles are (x pm a)^2 + (y pm a)^2 = a^2. Th...

    Text Solution

    |

  18. The circles : x^2+y^2 +2g1x-a^2 =0 and x^2+y^2 +2g2x-a^2=0 cut each ot...

    Text Solution

    |

  19. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

    Text Solution

    |

  20. Let AB be a chord of the circle x^2+y^2=a^2 subtending a right angle ...

    Text Solution

    |