Home
Class 12
MATHS
For how many values of p, the circle x^2...

For how many values of p, the circle `x^2+y^2+2x+4y-p=0` and the coordinate axes have exactly three common points?

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    MOTION|Exercise Exerise - 4 | Level - I (Previous Year|JEE Main|10 Videos

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise -4 (Level - II) ( Previous Year )|7 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 Videos

Similar Questions

Explore conceptually related problems

Show that the circle 4x^(2)+4y^(2)-12x-12y+9=0 touches both the coordinate axes.

The tangent at any point P on the circle x^2+y^2=4 meets the coordinate axes at Aa n dB . Then find the locus of the midpoint of A Bdot

If the cirles x^(2)+y^(2)=2 and x^(2)+y^(2)-4x-4y+lambda=0 have exactly three real common tangents then lambda=

The tangent at P, any point on the circle x^(2)+y^(2)=4, meets the coordinate axes in A and B, then (a) Length of AB is constant (b) P Aand PB are always equal (c) The locus of the midpoint of AB is x^(2)+y^(2)=x^(2)y^(2)(d) None of these

the no.of possible integral values of m for which the circle x^(2)+y^(2)=4 and x^(2)+y^(2)-6x-8y+m^(2)=0 has exactly two common tangents are

The tangent at any point to the circle x^(2)+y^(2)=r^(2) meets the coordinate axes at A and B.If the lines drawn parallel to axes through A and B meet at P then locus of P is

If the two circles x^(2) + y^(2) =4 and x^(2) +y^(2) - 24x - 10y +a^(2) =0, a in I , have exactly two common tangents then the number of possible integral values of a is :

If P(1, 1//2) is a centre of similitude for the circles x^(2)+y^(2)+4x+2y-4=0 and x^(2)+y^(2)-4x-2y+4=0 , then the length of the common tangent through P to the circles, is

MOTION-CIRCLE-Exercise - 4 | Level - II (Previous Year | JEE Advanced
  1. Consider the two curves C1 ; y^2 = 4x, C2 : x^2 + y^2 - 6x + 1 = 0 the...

    Text Solution

    |

  2. Consider, L(1) : 2x + 3y + p – 3 = 0 , L(2) : 2x + 3y + p + 3 = 0, whe...

    Text Solution

    |

  3. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  4. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  5. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Two parallel chords of a circle of radius 2 are at a distance sqrt3 + ...

    Text Solution

    |

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

    Text Solution

    |

  10. The straight line 2x – 3y = 1 divides the circular region x^(2) + y^(2...

    Text Solution

    |

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

    Text Solution

    |

  12. A possible equation of L is (A) x 3y 1 (B) x 3y 1 (C) x 3y 1 (D) x...

    Text Solution

    |

  13. A tangent PT is drawn to the circle x^2+y^2=4 at the point P(sqrt3,1)....

    Text Solution

    |

  14. A possible equation of L is (A) x 3y 1 (B) x 3y 1 (C) x 3y 1 (D) x...

    Text Solution

    |

  15. A circle s passes through the point ( 0,1) and is orthogonal to the ci...

    Text Solution

    |

  16. Let , RS be the diameter of the circle x^(2) + y^(2) = 1 , where S...

    Text Solution

    |

  17. For how many values of p, the circle x^2+y^2+2x+4y-p=0 and the coordin...

    Text Solution

    |

  18. Let T be the line passing the points P(–2, 7) and Q(2,–5). Let F(1) be...

    Text Solution

    |

  19. PARAGRAPH "X" Let S be the circle in the x y -plane defined by the eq...

    Text Solution

    |

  20. Let P be a point on the circle S with both coordinates being positive....

    Text Solution

    |