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

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1C(Pole, Polar)|107 Videos
  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1D(Angle Between Circles)|49 Videos
  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1A(Circle)|110 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos
  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 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 "

DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1B(Circle-Line)
  1. If the length of the tangent from (1,2) to the circle x^(2)+y^2+x+y-4=...

    Text Solution

    |

  2. If the length of the tangents from any point on the circle 15x^(2)+15y...

    Text Solution

    |

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

    Text Solution

    |

  4. The area of the quadrilateral formed by the tangents from the point (4...

    Text Solution

    |

  5. If OA and OB are the tangent from the origin to the circle x^(2)+y^(2)...

    Text Solution

    |

  6. If the distances from the origin to the centres of three circles x^(2)...

    Text Solution

    |

  7. The equation to the circle which is such that the lengths of the tange...

    Text Solution

    |

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

    Text Solution

    |

  9. The locus of the point the lengths of the tangents from which to the c...

    Text Solution

    |

  10. The locus of the point, the lengths of the tangents from which to the ...

    Text Solution

    |

  11. The locus of the points from which the lengths of the tangents to the ...

    Text Solution

    |

  12. The locus of the point which is such that the lengths of the tangents ...

    Text Solution

    |

  13. The length of the intercept made by the circle x^(2)+y^(2)-12x+14y+11=...

    Text Solution

    |

  14. The length of the intercept made by the circle x^(2)+y^(2)+10x-12y-13=...

    Text Solution

    |

  15. The intercept made by the circlee x^(2)+y^(2)-2hx sin theta-2ky sin th...

    Text Solution

    |

  16. The extermities of a diameter of a circle have coordinate (-4,-3) and ...

    Text Solution

    |

  17. The length of the chord x+2y=5 of the circle x^(2)+y^(2)=9 is

    Text Solution

    |

  18. The length of the chord x=3y+13 cut off by the circle x^(2)+y^(2)-4x+...

    Text Solution

    |

  19. The equation of the circle with centre (3,-1) and which cuts off a cho...

    Text Solution

    |

  20. The locus of centre of a circle which passes through the origin and cu...

    Text Solution

    |