Home
Class 11
MATHS
The circle x^(2)+y^(2)+2lamdax=0,lamdain...

The circle `x^(2)+y^(2)+2lamdax=0,lamdainR`, touches the parabola `y^(2)=4x` externally. Then,

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The circle x ^(2) +y^(2) -8 x+4=0 touches -

The common tangents to the circle x^(2)+y^(2)=2 and the parabola y^(2)=8x touch the circle at the points P, Q and the parabola at the points R, S. Then the area of the quadrilateral PQSR is

The circle (x+2)^(2) + (y-3)^(2) = 4 touches -

If the line k^(2)(x-1)+k(y-2)+1=0 touches the parabola y^(2)-4x-4y+8=0 , then k can be

Equation of the circles concentric with the circle x^(2)+y^(2)-2x-4y=0 and touching the circle x^(2)+y^(2)+ 2x=1 must be-

If the chord of contact of tangents from a point on the circle x^(2) + y^(2) = a^(2) to the circle x^(2)+ y^(2)= b^(2) touches the circle x^(2) + y^(2) = c^(2) , then a, b, c are in-

Equation of a common tangent to the circle x^(2)+y^(2)-6x=0 and the parabola y^(2)=4x is

Tangent to the parabola y=x^(2)+ax+1 at the point of intersection of the y-axis also touches the circle x^(2)+y^(2)=r^(2) . Also, no point of the parabola is below the x-axis. The radius of circle when a attains its maximum value is

Tangent to the parabola y=x^(2)+ax+1 at the point of intersection of the y-axis also touches the circle x^(2)+y^(2)=r^(2) . Also, no point of the parabola is below the x-axis. The slope of the tangents when the radius of the circle is maximum is

Consider the locus of center of the circle which touches the circle x^(2)+y^(2)=4 externally and the line x=4. The distance of the vertex of the locus from the otigin is __________ .

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If a!=0 and the line 2b x+3c y+4d=0 passes through the points of ...

    Text Solution

    |

  2. If y(1),y(2),andy(3) are the ordinates of the vertices of a triangle i...

    Text Solution

    |

  3. The circle x^(2)+y^(2)+2lamdax=0,lamdainR, touches the parabola y^(2)=...

    Text Solution

    |

  4. If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , the...

    Text Solution

    |

  5. Parabolas y^(2)=4a(x-c(1))andx^(2)=4a(y-c(2)), where c(1) and c(2) are...

    Text Solution

    |

  6. A circle touches the x-axis and also touches the circle with centre (0...

    Text Solution

    |

  7. The locus of the vertex of the family of parabolas y=(a^(3)x^(2))/(3...

    Text Solution

    |

  8. Let C(1)andC(2) be, respectively, the parabola x^(2)=y-1andy^(2)=x-1. ...

    Text Solution

    |

  9. If the line y-sqrt(3)x+3=0 cut the parabola y^2=x+2 at P and Q , then ...

    Text Solution

    |

  10. The locus of a point on the variable parabola y^2=4a x , whose distanc...

    Text Solution

    |

  11. Tangent to the curve y=x^2+6 at a point (1,7) touches the circle x^2+y...

    Text Solution

    |

  12. The angle between the tangents drawn from the point (1,4) to the para...

    Text Solution

    |

  13. Statement 1: There are no common tangents between the circle x^2+y^2...

    Text Solution

    |

  14. If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then ...

    Text Solution

    |

  15. C (0,1) is the centre of the circle with radius unity. P is the parabo...

    Text Solution

    |

  16. The set of points on the axis of the parabola (x-1)^(2)=8(y+2) from wh...

    Text Solution

    |

  17. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

    Text Solution

    |

  18. Normals at two points (x(1),y(1))and(x(2),y(2)) of the parabola y^(2)=...

    Text Solution

    |

  19. The endpoints of two normal chords of a parabola are concyclic. Then ...

    Text Solution

    |

  20. In parabola y^2=4x, From the point (15,12), three normals are drawn th...

    Text Solution

    |