Home
Class 12
MATHS
If the square of the length of the tange...

If the square of the length of the tangents from a point P to the circles `x^(2)+y^(2)=a^(2), x^(2)+y^(2)=b^(2), x^(2)+y^(2)=c^(2)` are in A.P. then `a^(2),b^(2),c^(2)` are in

A

A.P.

B

G.P.

C

H.P.

D

A.G.P.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE II|169 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

Similar Questions

Explore conceptually related problems

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

The length of the tangent from a point on the circle x^(2)+y^(2)+4x-6y-12=0 to the circle x^(2)+y^(2)+4x-6y+4=0 is

The length of the tangent from a point on x^(2)+y^(2)+8x+8y-4=0 to 2x^(2)+2y^(2)+16x+16y+1=0 is

The locus of the point the lengths of the tangents from which to the circles x^(2)+y^(2)-2x-4y-4=0, x^(2)+y^(2)-10x+25=0 are in the ratio 2:1 is

Lengths of common tangents of the circles x^(2)+y^(2)=6x,x^(2)+y^(2)+2x=0 are

The locus of the point which is such that the lengths of the tangents from it to the circles x^(2)+y^(2)=a^(2) and x^(2)+y^(2)=b^(2) are inversely as their radii is

The length of the tangent from to the circle x^(2)+y^(2)+2gx+2fy+c=0 to the circle x^(2)+y^(2)+2gx+2fy+c’=0 is

If P is a point such that the ratio of the squares of the lengths of the tangents from P to the circles x^(2)+y^(2)+2x-4y-20=0 and x^(2)+y^(2)-4x+2y-44=0 is 2:3, then the locus of P is a circle with centre .

The locus of the point of intersection of the perpendicular tangents to the circle x^(2)+y^(2)=a^(2), x^(2)+y^(2)=b" is "

AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. The length of the tangent from a point on x^(2)+y^(2)+8x+8y-4=0 to 2x^...

    Text Solution

    |

  2. If the length of the tangent from (f,g) to the circle x^(2)+y^(2)=6 be...

    Text Solution

    |

  3. If the square of the length of the tangents from a point P to the circ...

    Text Solution

    |

  4. If the length of the tangent from (1,2) to the circle x^(2)+y^2+x+y-4=...

    Text Solution

    |

  5. A tangent to the circle x^(2)+y^(2)=4 meets the coordinate axes at P a...

    Text Solution

    |

  6. The locus of the point of intersection of tangents to the circle x=a c...

    Text Solution

    |

  7. The circle with centre (2,3) touching x-axis has the radius equal to

    Text Solution

    |

  8. Circle touching y-axis and centre (3,2) is

    Text Solution

    |

  9. The equation of the circle touching both the axes, lying in the third...

    Text Solution

    |

  10. The x intercept of the circle x^(2)+y^(2)+8x-9=0 is

    Text Solution

    |

  11. x^(2)+y^(2)-14x-10y+24=0 makes an

    Text Solution

    |

  12. If x^(2)+y^(2)+6x+2ky+25=0 to touch y-axis then k=

    Text Solution

    |

  13. A circle passes through (-2,4) and touches the y-axis at (0,2). Which ...

    Text Solution

    |

  14. If I(1),I(2),I(3) are the intercept on x-axis, y-axis, y=x w.r.t x^(2)...

    Text Solution

    |

  15. If a circle of radius 4 touches x-axis at (2,0) then its centre may be

    Text Solution

    |

  16. The equation of the circle touching the coordinate axes the line x+2=0...

    Text Solution

    |

  17. Two circles touching both the axes intersect at (3,-2) then the coordi...

    Text Solution

    |

  18. If two circles touching both the axes intersect at two points P and Q ...

    Text Solution

    |

  19. The equation of the circle passing through (2,1) and touching the coor...

    Text Solution

    |

  20. The radius of the circle of least size that passes through (-2,1) and ...

    Text Solution

    |