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)`

Text Solution

AI Generated Solution

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

Find the chord of contact of (0,5) with respect to the circle x^(2) + y^(2) - 5 x +4y - 2 =0

Locate the position of the point P with resect to the circle S = 0 when P(4,2) and S-=2x^(2)+2y^(2)-5x-4y-3=0

The point of which the line 9x + y - 28 = 0 is the chord of contact of the circle 2x^2+2y^2-3x+5y-7=0 is

Show that the points (4,2) (3,-5) are conjugate points with respect to the circle x^(2) + y^(2) -3 x - 5y + 1 = 0

The coordinates of the middle point of the chord cut-off by 2x-5y+18=0 by the circle x^2+y^2-6x+2y-54=0 are (1,4) (b) (2,4) (c) (4,1) (d) (1,1)

Find the value of k if kx+ 3y - 1 = 0, 2x + y + 5 = 0 are conjugate lines with respect to the circle x^(2) + y^(2) - 2x - 4y - 4 =0 .

The co-ordinates of the middle point of the chord cut off on 2x - 5y +18= 0 by the circle x^2 + y^2 - 6x + 2y - 54 = 0 are (A) (1,1) (B) (2, 4) (C) (4,1) (D) (1, 4)

The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the center of the circle lies on x-2y=4. The radius of the circle is (a) 3sqrt(5) (b) 5sqrt(3) (c) 2sqrt(5) (d) 5sqrt(2)

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

If lines 5x+12 y-10=0 and 5x-12 y-40=0 touch a circle of radius 3 units, then the coordinates of centre of the circle may be: (a) (-(64)/5,5/4) (b) (-(14)/5,-5/4) (c) '(5, 2) (d) (5,-9/2)

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The circle x^2+y^2-4x-4y+4=0 is inscribed in a variable triangle O A B...

    Text Solution

    |

  2. Consider three circles C1, C2 and C3 such that C2 is the director circ...

    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-2sqrt2 y + c = 0 is the director circle of circ...

    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 tangents to the circle x...

    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. The lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area 15...

    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. Find the equation of a circle with center (4, 3) touching the circle x...

    Text Solution

    |

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

    Text Solution

    |