Home
Class 12
MATHS
The equation of one of the circles which...

The equation of one of the circles which touch the pair of lines `x^2 - y^2 + 2y - 1 = 0` is

A

`x^(2) + y^(2) + 2x + 1 = 0`

B

`x^(2) + y^(2) - 2x + 1 = 0 `

C

`x^(2) + y^(2) + 2y -1 =0`

D

`x^(2) + y^(2) - 2y - 1 = 0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C|45 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A)|55 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

2x+y=0 is the equation of a diameter of the circle which touches the lines 4x-3y+10=0 and 4x-3y-30=0 The centre and radius of the circle are

The equation of the circle concentric with the circle x^(2) + y^(2) - 6x - 4y - 12 =0 and touching y axis

Find the equation of the family of circles touching the lines x^(2)-y^(2)+2y-1=0

The equation of the circle through the points of intersection of x y -1 -0, x y -2x-4 y l 0 and touching the line x 2y 0, is (B) x y 2 x+20 (C) x y (D) 2 (x2 y x 2

The equation of the circle touching the lines x=0,y=0 and x=2c is -

(i) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 6x + 12y + 15 = 0 and of double its radius. (ii) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 2x - 4y + 1 = 0 and whose radius is 5. (iii) Find the equation of the cricle concentric with x^(2) + y^(2) - 4x - 6y - 3 = 0 and which touches the y-axis. (iv) find the equation of a circle passing through the centre of the circle x^(2) + y^(2) + 8x + 10y - 7 = 0 and concentric with the circle 2x^(2) + 2y^(2) - 8x - 12y - 9 = 0 . (v) Find the equation of the circle concentric with the circle x^(2) + y^(2) + 4x - 8y - 6 = 0 and having radius double of its radius.

Find the equation of the circle which touch the line 2x-y=1 at (1,1) and line 2x+y=4

The equation of the circle which touches the circle x^(2)+y^(2)-6x+6y+17=0 externally and to which the lines x^(2)-3xy-3x+9y=0 are normals,is

What is the equation of circle which touches the lines x = 0 , y = 0 and x = 2 ?

Find the equations of the two circles which intersect the circles x^2+y^2-6y+1=0 and x^2+y^2-4y+1=0 orthogonally and touch the line 3x+4y+5=0

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-B
  1. A circle of constant radius r passes through the origin O, and cuts th...

    Text Solution

    |

  2. The point of intersection of the lines x - y + 1 = 0 and x + y + 5 = 0...

    Text Solution

    |

  3. The equation of one of the circles which touch the pair of lines x^2 -...

    Text Solution

    |

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

    Text Solution

    |

  5. The number of points (a + 1a) where a in I, lying inside the region bo...

    Text Solution

    |

  6. Four distinct points (a, 0), (0, b), (c , 0) and (0, d) are lie on a ...

    Text Solution

    |

  7. The length of the chord of the parabola y^(2) = 12x passing through th...

    Text Solution

    |

  8. The length of the latus rectum of the parabola x^2 - 6x + 5y = 0 is

    Text Solution

    |

  9. The equation of tangent to the parabola y^2 = 9x, which pass through t...

    Text Solution

    |

  10. If the normals drawn at the points t(1) and t(2) on the parabola meet ...

    Text Solution

    |

  11. The line 4x -7y + 10 = 0 intersects the parabola y^(2) =4x at the poin...

    Text Solution

    |

  12. The coordinates of the point at which the line x cos alpha + y sin alp...

    Text Solution

    |

  13. If the segment intercepted by the parabola y=4a x with the line l x+m ...

    Text Solution

    |

  14. Find the length of normal chord which subtends an angle of 90^0 at the...

    Text Solution

    |

  15. Find the locus of the point of intersection of the normals at the end ...

    Text Solution

    |

  16. let P be the point (1, 0) and Q be a point on the locus y^2= 8x. The l...

    Text Solution

    |

  17. Three normals are drawn from the point (c, 0) to the curve y^2 = x. Sh...

    Text Solution

    |

  18. vertex and focus of a parabola are (-1,1) and (2,3) respectively. find...

    Text Solution

    |

  19. If the parabola y^2=4a x\ passes through the point (3,2) then find th...

    Text Solution

    |

  20. The curve is given by x = cos 2t, y = sin t represents

    Text Solution

    |