Home
Class 11
MATHS
Tangents drawn from the point P(2,3) to...

Tangents drawn from the point `P(2,3)` to the circle `x^2 + y^2-8x + 6y + 1 = 0` points A and B. The circumcircle of the `DeltaPAB` cuts the director circle of ellipse `(x-5)^2/9+(y-3)^2/b^2=1` orthogonally. Find the value of `b^2`.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Tangents drawn from (2, 0) to the circle x^2 + y^2 = 1 touch the circle at A and B Then.

Tangents are drawn from the point P(1,-1) to the circle x^2+y^2-4x-6y-3=0 with centre C, A and B are the points of contact. Which of the following are correct?

Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/4=1 touching the ellipse at point A and B. Q. The coordinates of A and B are

Tangent drawn from the point P(4,0) to the circle x^2+y^2=8 touches it at the point A in the first quadrant. Find the coordinates of another point B on the circle such that A B=4 .

The length of the chord of contact of the tangents drawn from the point (-2,3) to the circle x^2+y^2-4x-6y+12=0 is:

Find the equations of the tangents from the point A(3,2) to the circle x^(2)+y^(2)+4x+6y+8=0 .

Tangents drawn from a point on the circle x^2+y^2=9 to the hyperbola x^2/25-y^2/16=1, then tangents are at angle

Find the equations of the tangents drawn from the point (2, 3) to the ellipse 9x^2+16 y^2=144.

Find the equations of the tangents drawn from the point (2, 3) to the ellipse 9x^2+16 y^2=144.

Find the equations of the tangents drawn from the point (2, 3) to the ellipse 9x^2+16 y^2=144.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Let P(x1, y1) and Q(x2, y2), y1 < 0, y2 < 0, be the end points of the...

    Text Solution

    |

  2. Let any double ordinate P N P ' of the hyperbola (x^2)/(25)-(y^2)/(16)...

    Text Solution

    |

  3. Tangents drawn from the point P(2,3) to the circle x^2 + y^2-8x + 6y...

    Text Solution

    |

  4. For hyperbola whose center is at (1, 2) and the asymptotes are paralle...

    Text Solution

    |

  5. If from a point P(0,alpha) , two normals other than the axes are drawn...

    Text Solution

    |

  6. The chord of contact of a point P w.r.t a hyperbola and its auxiliary ...

    Text Solution

    |

  7. If the mid-point of a chord of the ellipse (x^2)/(16)+(y^2)/(25)=1 (0,...

    Text Solution

    |

  8. If the intercepts made by tangent, normal to a rectangular hyperbola x...

    Text Solution

    |

  9. Let the distance between a focus and the corresponding directrix of an...

    Text Solution

    |

  10. If S=0 is the equation of the hyperbola x^2+4x y+3y^2-4x+2y+1=0 , then...

    Text Solution

    |

  11. Consider an ellipse E ,(x^2)/(a^2)+(y^2)/(b^2)=1 , centered at point O...

    Text Solution

    |

  12. If two distinct tangents can be drawn from the Point (alpha,2) on diff...

    Text Solution

    |

  13. Suppose xa n dy are real numbers and that x^2+9y^2-4x+6y+4=0 . Then th...

    Text Solution

    |

  14. A hyperbola passes through (2,3) and has asymptotes 3x-4y+5=0 and 12 x...

    Text Solution

    |

  15. Rectangle ABCD has area 200.An ellipse with area 200pi passes through ...

    Text Solution

    |

  16. From any point on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , tangents a...

    Text Solution

    |

  17. The locus of the image of the focus of the ellipse (x^2)/(25)+(y^2)/9=...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. A point on the ellipse x^2+3y^2=37 where the normal is parallel to the...

    Text Solution

    |

  20. Let P(a sectheta, btantheta) and Q(aseccphi , btanphi) (where theta+...

    Text Solution

    |