Home
Class 11
MATHS
The line 9x+y-18=0 is the chord of cont...

The line `9x+y-18=0` is the chord of contact of the point `P(h , k)` with respect to the circle `2x^2+2y^2-3x+5y-7=0` , for (a)`((24)/5,-4/5)` (b) `P(3,1)` (c)`P(-3,1)` (d) `(-2/5,(12)/5)`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The coordinates of middle point of the chord 2x-5y+18=0 cut of by the circle x^2+y^2-6x+2y-54=0 is

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

Find the length of the chord intercepted by the circle x^2+y^2-6x+8y-5=0 on the line 2x-y=5.

Show that the point (-8,3) is equidistant from the straight lines 4x-3y+1=0and12x-5y+7=0 .

Which of the following is a point on the common chord of the circle x^2+y^2+2x-3y+6=0 and x^2+y^2+x-8y-13=0? (1,-2) (b) (1,4) (c) (1,2) (d) (1,-4)

The orthocentre of the triangle formed by the lines 2x^(2)+3xy-2y^(2)-9x+7y-5=0 with 4x+5y-3=0 is

Find the bisector of the angle containing the point (1,-2) between the lines 3x-4y = 0 and 5x + 12y +7 = 0

If the points (1,2) and (3, 4) are on the opposite side of the line 3x - 5y + a = 0, then :

Find the equation of the bisector of the obtuse angle between the lines 3x-4y+7=0 and 12 x+5y-2=0.

If the lines 2x-3y-5=0 and 3x-4y=7 are diameters of a circle of area 154 sq. units, then the equation of the circle is

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. From a point P on the normal y=x+c of the circle x^2+y^2-2x-4y+5-lambd...

    Text Solution

    |

  2. The circle x^2+y^2-4x-4y+4=0 is inscribed in a variable triangle O A B...

    Text Solution

    |

  3. The line 9x+y-18=0 is the chord of contact of the point P(h , k) wit...

    Text Solution

    |

  4. A circle x^2+y^2+4x-2sqrt(2)y+c=0 is the director circle of the circle...

    Text Solution

    |

  5. Tangents are drawn to the circle x^2+y^2=9 at the points where it is ...

    Text Solution

    |

  6. Find the length of the chord of contact with respect to the point on ...

    Text Solution

    |

  7. The distance between the chords of contact of the tangent to the circl...

    Text Solution

    |

  8. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

    Text Solution

    |

  9. Find the number of common tangent to the circles x^2+y^2+2x+8y-23=0 an...

    Text Solution

    |

  10. Two variable chords A Ba n dB C of a circle x^2+y^2=r^2 are such that ...

    Text Solution

    |

  11. Find the equation of the chord of the circle x^2+y^2=9 whose middle po...

    Text Solution

    |

  12. Find the circle of minimum radius which passes through the point (4, 3...

    Text Solution

    |

  13. A variable chord is drawn through the origin to the circle x^2+y^2-2a ...

    Text Solution

    |

  14. The radius of the tangent circle that can be drawn to pass through the...

    Text Solution

    |

  15. Find the equation of the chord of the circle x^2+y^2=a^2 passing throu...

    Text Solution

    |

  16. If the lines 2x-3y-5=0 and 3x-4y=7 are diameters of a circle of area 1...

    Text Solution

    |

  17. Find the middle point of the chord of the circle x^2+y^2=25 intercepte...

    Text Solution

    |

  18. Find the area of the triangle formed by the tangents from the point (4...

    Text Solution

    |

  19. Equation of a circle with centre (4, 3) touching the circle x^2+y^2=1 ...

    Text Solution

    |

  20. Find the equation of the tangent to the circle x^2 + y^2 - 2ax - 2ay +...

    Text Solution

    |