Home
Class 11
MATHS
The coordinates of the middle point of t...

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)`

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

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)

Find the length of the chord cut-off by y=2x+1 from the circle x^2+y^2=2

Find the coordinates of the middle point of the chord which the circle x^2 +y^2 + 4x-2y-3=0 cuts off on the line x-y+2=0

Find the coordinates of the middle point of the chord which the circle x^(2)+y^(2)+4x-2y-3=0 cuts-off the line x-y+2=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)

Find the locus of the middle points of the chords of the circle x^(2) + y^( 2) = 4 ( y + 1) drawn through the origin.

Pole of 3x+5y+17=0 w.r.t the circle x^(2)+y^(2)+4x+6y+9=0 is a) (-1,2) b) (1,2) c)(1,2) d) (2,1)

The shortest distance of (-5,4) to the circle x^(2)+y^(2)-6x+4y-12=0 is

The coordinates of a point on the parabola y^2=8x whose distance from the circle x^2+(y+6)^2=1 is minimum is (2,4) (b) (2,-4) (18 ,-12) (d) (8,8)

Common chord of the circles x^2+y^2-4x-6y+9=0, x^2+y^2-6x-4y+4=0 is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. A straight line moves such that the algebraic sum of the perpendicular...

    Text Solution

    |

  2. Let S1 be a circle passing through A(0,1) and B(-2,2) and S2 be a circ...

    Text Solution

    |

  3. The coordinates of the middle point of the chord cut-off by 2x-5y+18=0...

    Text Solution

    |

  4. A variable circle which always touches the line x+y-2=0 at (1, 1) cuts...

    Text Solution

    |

  5. The range of parameter ' a ' for which the variable line y=2x+a lies b...

    Text Solution

    |

  6. Find the equation of the circle which is touched by y=x , has its cent...

    Text Solution

    |

  7. Find the locus of the centers of the circles x^2+y^2-2ax-2b y+2=0 , w...

    Text Solution

    |

  8. A circle touches the y-axis at the point (0, 4) and cuts the x-axis in...

    Text Solution

    |

  9. Three concentric circles of which the biggest is x^2+ y^2= 1, have the...

    Text Solution

    |

  10. Tangents PA and PB are drawn to x^2+y^2=a^2 from the point P(x1, y1)do...

    Text Solution

    |

  11. Let A=(-1,0),B=(3,0) and P Q be any line passing through (4, 1) having...

    Text Solution

    |

  12. If the abscissa and ordinates of two points Pa n dQ are the roots of t...

    Text Solution

    |

  13. The equation of radical axis of two circles is x + y = 1. One of the ...

    Text Solution

    |

  14. Find the parametric form of the equation of the circle x^2+y^2+p x+p y...

    Text Solution

    |

  15. S is a circle having the center at (0,a) and radius b(b < a)dot A vari...

    Text Solution

    |

  16. The point on a circle nearest to the point P(2,1) is at a distance of ...

    Text Solution

    |

  17. S(x ,y)=0 represents a circle. The equation S(x ,2)=0 gives two identi...

    Text Solution

    |

  18. Find the length of intercept, the circle x^2+y^2+10 x-6y+9=0 makes on ...

    Text Solution

    |

  19. Find the equation of the family of circle which touch the pair of stra...

    Text Solution

    |

  20. Find the center of the circle x=-1+2costheta,y=3+2sintheta.

    Text Solution

    |