Home
Class 12
MATHS
Equation of a circle which passes throug...

Equation of a circle which passes through the point (2, 0) and whose centre is the limit of the point of intersection of the lines `3x+5y=1` and `(2+alpha )x+ 5 alpha^2 y= 1` as `alpha` tends to 1 is

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a circle which passes through the point (2,0) and whose centre is the limit of the point of intersection of eth lines 3x+5y=1 and (2+c)x+5c^(2)y=1asc rarr1

Find the equation of the circle passing through the point (2, 4) and centre at the point of intersection of the lines x-y=4 and 2x+3y=-7 .

Find the equation of the circle passing through the point (-1,3) and having its centre at the point of intersection of the lines x-2y=4 and 2x+5y+1=0

Equation of the tangent to the circle at the point (1, -1) whose centre is the point of intersection of the straight lines x-y=1 and 2x+y-3=0, is

Find the equation of the circle which passes through the points (-1,2) and (3,-2) and whose centre lies on the line x-2y=0

The equation of the circle which passes through the point A(0, 5) and B(6, 1) and whose centre lies on the line 12x+5y=25 is

Find the equation of the circle passing through the points (1, -1) and centre at the intersection of the lines x-y=4 and 2x+3y=-7

Find the equation of the circle passing through the points (0, -1) and (2, 0) and whose centre lies on the line 3x+y=5

ARIHANT MATHS-CIRCLE -Exercise (Subjective Type Questions)
  1. The equation of the circle which touches the circle x^2+y^2-6x+6y+17 =...

    Text Solution

    |

  2. A line meets the coordinate axes at A and B. A circle is circumscribed...

    Text Solution

    |

  3. Equation of a circle which passes through the point (2, 0) and whose c...

    Text Solution

    |

  4. Tangents are drawn from external poinl P(6,8) to the circle x^2+y^2 =...

    Text Solution

    |

  5. 2x-y+4=0 is a diameter of a circle which circumscribes a rectangle ABC...

    Text Solution

    |

  6. Find the radius of the smalles circle which touches the straight line ...

    Text Solution

    |

  7. If the circle C1: x^2 + y^2 = 16 intersects another circle C2 of radiu...

    Text Solution

    |

  8. Let 2x^2 +y^2-3xy = 0 be the equation of a pair of tangents drawn from...

    Text Solution

    |

  9. The circle x^2+y^2=1 cuts the x-axis at Pa n dQdot Another circle with...

    Text Solution

    |

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

    Text Solution

    |

  11. The centre of the circle S=0 lie on the line 2x – 2y +9=0 & S=0 cuts o...

    Text Solution

    |

  12. Find the condition on a, b, c such that two chords of the circle x^2 +...

    Text Solution

    |

  13. Two straight lines rotate about two fixed points (-a, 0) and (a, 0) in...

    Text Solution

    |

  14. The base AB of a triangle is fixed and its vertex C moves such that si...

    Text Solution

    |

  15. Consider a curve ax^2 + 2hxy + by^2-1=0 and a point P not on the curve...

    Text Solution

    |

  16. Tangents drawn from the point P(1,8) to the circle x^2 +y^2 -6x -4y-11...

    Text Solution

    |

  17. The centres of two circles C(1) and C(2) each of unit radius are at a...

    Text Solution

    |

  18. If P and Q are the points of intersection of the circles x^2+""y^2+...

    Text Solution

    |

  19. If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two dis...

    Text Solution

    |

  20. The circle passing through the point (-1,0) and touching the y-axis at...

    Text Solution

    |