Home
Class 12
MATHS
The polar of p with respect to a circle ...

The polar of p with respect to a circle `s=x^(2)+y^(2)+2gx+2fy+c=0` with centre C is

A

Parallel to the tangent at P

B

Parallel to CP

C

Perpendicular to CP

D

Perpendicular to the tangent at P

Text Solution

Verified by Experts

The correct Answer is:
C
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

If ax + by + c = 0 is the polar of (1,1) with respect to the circle x^(2) + y^(2) - 2x + 2y + 1 = 0 and H. C. F. of a, b, c is equal to one then find a^(2) + b^(2) + c^(2) .

A: The polar of (2,3) with respect to the circle x^(2)+y^(2)-4x-6y+5=0" is "2x+3y=0 R: The polar of (x_(1),y_(1)) with respect to the circle S=0" is "S_(1)=0

Consider the following statement : I. P(x_1, y_1) and Q (x_2, y_2) are conjugate points with respect to the circle x^2 + y^2 + 2gx + 2fy + c= 0 then x_1 x_2 + y_1y_2 + g ( x_1 + x_2) + f ( y_1 + y_2) + c = 0 II. The pole of the line x + y + 1 =0 with respect to the circle x^2 + y^2 = 9 is (9.9). Then, which one of the following is true?

If the pole of the line with respect to the circle x^(2)+y^(2)=c^(2) lies on the circle x^(2)+y^(2)=9c^(2) then the line is a tangent to the circle with centre origin is

The polar of the line 8x-2y=11 with respect to the circle 2x^(2)+2y^(2)=11 is

If OA and OB are the tangent from the origin to the circle x^(2)+y^(2)+2gx+2fy+c=0 and C is the centre of the circle then the area of the quadrilateral OCAB 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

AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. The number of parameters of the equation ax^(2)+ay^(2)+2fy+c=0 is

    Text Solution

    |

  2. If the circles x^(2)+y^(2)=a^(2), x^(2)+y^(2)-6x-8y+9=0 touch external...

    Text Solution

    |

  3. The condition that the circles x^(2)+y^(2)+2ax+c=0, x^(2)+y^(2)+2by+c=...

    Text Solution

    |

  4. The equation to the circle whose radius is 3 and which touches interna...

    Text Solution

    |

  5. A circle of radius 2 units rolls inside the ring of the circle x^(2)+y...

    Text Solution

    |

  6. If 4y=x +7 is a diameter of the circumscribing circle of the rectangle...

    Text Solution

    |

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

    Text Solution

    |

  8. The area (in sq units) of the triangle formed by the tangent, normal a...

    Text Solution

    |

  9. The area of the triangle formed with coordinate axes and the tangent a...

    Text Solution

    |

  10. The area of the triangle formed by the tangents from (1,3) to the circ...

    Text Solution

    |

  11. The area of an equilateral triangle inscribed in the circle x^(2)+y^(2...

    Text Solution

    |

  12. A right angled isoceles triangle is inscribed in the circle x^(2)+y^(2...

    Text Solution

    |

  13. Observed the following statements I: The intercepts of the circle x^...

    Text Solution

    |

  14. The polar of p with respect to a circle s=x^(2)+y^(2)+2gx+2fy+c=0 with...

    Text Solution

    |

  15. Given that p(x(1),y(1)) is interior point of the circle S=x^(2)+y^(2)+...

    Text Solution

    |

  16. The line y=mx+c intersects the circle x^(2)+y^(2)=r^(2) in two distin...

    Text Solution

    |

  17. The locus of the point (2+3cos theta, 1+3 sin theta) when theta is par...

    Text Solution

    |

  18. The coordinate of the point on the circle (x-1)^(2)+(y+2)^(2)=9 having...

    Text Solution

    |

  19. The parametric equation of the circle x^(2)+y^(2)+8x-6y=0 are

    Text Solution

    |

  20. To the circle x^(2)+y^(2)=16 tangent at the point theta=(pi)/3 is

    Text Solution

    |