Home
Class 11
MATHS
Which of the following is a point on the...

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?`
(a)`(1,-2)` (b) `(1,4)`(c) `(1,2)` (d) `(1,-4)`

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 length of the common chord of the circles x^2+y^2+2x+6y=0 and x^2+y^2-4x-2y-6=0

The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^2-8y -4 = 0 , is

The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^2-8y -4 = 0 , is

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

The distance of the point (1, 2) from the common chord of the circles x^2+y^2-2x+3y-5=0 and x^2+y^2+10x+8y=1 is

The length of the common chord of the circles x^(2)+y^(2)-2x-1=0 and x^(2)+y^(2)+4y-1=0 , is

Find the number of common tangents to the circle x^2 +y^2=4 and x^2+y^2−6x−8y−24=0

Find the equation of the common chord of the following pair of circles x^2+y^2+2x+3y+1=0 x^2+y^2+4x+3y+2=0

Find the equation of the common chord of the following pair of circles x^2+y^2-4x-4y+3=0 x^2+y^2-5x-6y+4=0

The point lying on common tangent to the circles x^(2)+y^(2)=4 and x^(2)+y^(2)+6x+8y-24=0 is (1) (4,-2) (2) (-6,4) (3) (6,-2) (4) (-4,6)

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If from any point P on the circle x^2+y^2+2gx+2fy+c=0, tangents are dr...

    Text Solution

    |

  2. The lengths of the tangents from P(1,-1) and Q(3,3) to a circle are sq...

    Text Solution

    |

  3. Which of the following is a point on the common chord of the circle x^...

    Text Solution

    |

  4. If the circles x^2+y^2+2a x+c y+a=0 and x^2+y^2-3a x+d y-1=0 intersec...

    Text Solution

    |

  5. Find the angle at which the circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 in...

    Text Solution

    |

  6. Find the angle which the common chord of x^2+y^2-4x-4y=0 and x^2+y^2=1...

    Text Solution

    |

  7. If the tangents are drawn to the circle x^2+y^2=12 at the point where ...

    Text Solution

    |

  8. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

    Text Solution

    |

  9. Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and...

    Text Solution

    |

  10. If the circle x^(2)+y^(2)=1 is completely contained in the circle x^(2...

    Text Solution

    |

  11. Prove that the pair of straight lines joining the origin to the points...

    Text Solution

    |

  12. The circles x^2+y^2-12 x-12 y=0 and x^2+y^2+6x+6y=0. a.touch each oth...

    Text Solution

    |

  13. If theta is the angle between the two radii (one to each circle) drawn...

    Text Solution

    |

  14. If the lines a1x+b1y+c1=0 and a2x+b2y+c2=0 cut the coordinae axes at c...

    Text Solution

    |

  15. A line is drawn through a fix point P(alpha, beta) to cut the circle x...

    Text Solution

    |

  16. Circles are drawn through the point (2, 0) to cut intercept of length ...

    Text Solution

    |

  17. Find the equation of the circle passing through the origin and cutting...

    Text Solution

    |

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

    Text Solution

    |

  19. Find the values of k for which the points (2k ,3k),(1,0),(0,1),a n d(0...

    Text Solution

    |

  20. If one end of the diameter is (1, 1) and the other end lies on the lin...

    Text Solution

    |