Home
Class 12
MATHS
The locus of the poin ,the chord of cont...

The locus of the poin ,the chord of contact of tangents from which to the circle `x^(2)+y^(2)=a^(2)` subtends a right angle at the centre , is a circle of radius

A

2a

B

`(a)/(2)`

C

`sqrt(2)a`

D

`a^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |18 Videos

  • STATISTICS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |4 Videos

  • THREE DIMENSIONAL GEOMETRY

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |11 Videos

Similar Questions

Explore conceptually related problems

if the chord of contact of tangents from a point P to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 subtends a right angle at the centre,then the locus of P is

Locus of the middle points of chords of the circle x^(2)+y^(2)=16 which subtend a right angle at the centre is

Find the condition that the chord of contact of tangents from the point (alpha, beta) to the circle x^2 + y^2 = a^2 should subtend a right angle at the centre. Hence find the locus of (alpha, beta) .

If the chord of contact of the tangents drawn from the point (h,k) to the circle x^(2)+y^(2)=a^(2) subtends a right angle at the center,then prove that h^(2)+k^(2)=2a^(2)

Find the locus of the midpoint of the chords of the circle x^(2)+y^(2)=a^(2) which subtend a right angle at the point (c,0) .

The locus of the midpoint of chord of the circle x^(2)+y^(2)=1 which subtends a right angle at the origin is

BITSAT GUIDE-THE CIRCLE -BITSAT ARCHIVES
  1. The locus of the poin ,the chord of contact of tangents from which to ...

    Text Solution

    |

  2. If the equation of circle which passes through the origin and cuts off...

    Text Solution

    |

  3. Find the equation of the circle circumscribing the triangle formed by ...

    Text Solution

    |

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

    Text Solution

    |

  5. Find the angle between the two tangents from the origin to the circle ...

    Text Solution

    |

  6. If a circle passes through (0,0) and (a,0) and (0,b), then the coordin...

    Text Solution

    |

  7. If the sum of the distance of a point P from two perpendicular lines i...

    Text Solution

    |

  8. If the lines 2x-3y=5and3x-4y=7 are two diameters of a circle of radius...

    Text Solution

    |

  9. Find the radius of the circle with the polar equation r^2-8r(sqrt3cost...

    Text Solution

    |

  10. The centre of circle whose normals are x^(2)-2xy-3x+6y=0 is

    Text Solution

    |

  11. The centres of a set of circles, each of radius 3, lie on the circle x...

    Text Solution

    |

  12. If the two circles x^(2)+y^(2)-2x+22y+5=0andx^(2)+y^(2)+14x+6y+k=0 int...

    Text Solution

    |

  13. The radius of the ciclle x^(2)+y^(2)+4x+6y+13=0 is

    Text Solution

    |

  14. The centre of the circles x=2+3costheta,y=3sintheta-1 is

    Text Solution

    |

  15. The equation to the circle with centre (2,1) and touching the line 3x ...

    Text Solution

    |

  16. The condition for a line y = 2x + c to touch the circle x^(2) + y^(2) ...

    Text Solution

    |

  17. Let P(x(1),y(1))andQ(x(2),y(2)) be two points such that their abscissa...

    Text Solution

    |

  18. The number of common tangents to the circles x^(2)+y^(2)+2x+8y-23=0...

    Text Solution

    |

  19. If x/alpha+y/beta=1 touches the circle x^2+y^2=a^2 then point (1/alpha...

    Text Solution

    |