Home
Class 12
MATHS
The points of intersection of the line 4...

The points of intersection of the line `4x-3y-10=0` and the circle `x^2+y^2-2x+4y-20=0` are ________ and ________

Text Solution

Verified by Experts

The correct Answer is:
( -2, -6) and ( 4,2)
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE MAIN ( ARCHIVE )|29 Videos

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise JEE Archive|56 Videos

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

Show that the point of intersection of the line 4x-3y-10=0 and the circle x^(2)+y^(2)-2x+4y-20=0 are (-2,-6) & (4,2)

Find the point of intersection of the lines 2x-3y+8=0 and 4x+5y=6

Find the point of intersection of the line, x/3 - y/4 = 0 and x/2 + y/3 = 1

Find the length of the intercept on the straight line 4x-3y-10=0 by the circle x^(2)+y^(2)-2x+4y-20=0 .

The lines joining the origin to the points of intersection of the line 4x+3y=24 with the circle (x-3)^(2)+(y-4)^(2)=25 are

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

The length and the midpoint of the chord 4x-3y+5=0 w.r.t. the circle x^(2)+y^(2)-2x+4y-20=0 is

The distance of the point of intersection of the lines 2x-3y+5=0 and 3x+4y=0 from the line 5x-2y=0 is

The distance of the point of intersection of the lines 2x-3y+5=0 and 3x+4y=0 from the line 5x-2y=0 is

Find the coordinates of the point of intersection of tangent at the points where x+ 4y - 14 =0 meets the circle x^(2) + y^(2) - 2x+ 3y -5=0

VMC MODULES ENGLISH-CIRCLES-JEE ADVANCED ( ARCHIVE )
  1. The intercept on the line y=x by the circle x^(2)+y^(2)-2x=0 is AB. Eq...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. The points of intersection of the line 4x-3y-10=0 and the circle x^2+y...

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. Consider a family of circle passing thorugh two fixed points A(3,7) an...

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. Let S -= x^(2)+y^(2)+2gx+2fy+c=0 be a given circle. Find the locus o...

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. Find the equations of the circles passing through the point (-4,3) and...

    Text Solution

    |

  10. Find the equation of a circle which passes through the point (2,0) ...

    Text Solution

    |

  11. The locus of the mid-point of the chord of contact of tangents drawn f...

    Text Solution

    |

  12. Tangents drawn from the point P(1,8) to the circle x^(2)+y^(2)-6x-4y-1...

    Text Solution

    |

  13. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  14. The equation of the tangents drawn from the origin to the circle x^(2)...

    Text Solution

    |

  15. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

    Text Solution

    |

  16. The chords of contact of the pair of tangents drawn from each point on...

    Text Solution

    |

  17. Find the locus of mid-points of the chords of the circle 4x^(2)+4y^(2)...

    Text Solution

    |

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

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. about to only mathematics

    Text Solution

    |