Home
Class 12
MATHS
find the common tangents of the circle...

find the common tangents of the circle `x^2+y^2=2a^2` and the parabola` y^2=8ax`

Promotional Banner

Topper's Solved these Questions

  • Parabola

    A DAS GUPTA|Exercise EXERCISE|51 Videos

  • Pair of Straight Lines and Transformation of Axes

    A DAS GUPTA|Exercise EXERCISE|22 Videos

  • Product of three or more Vectors

    A DAS GUPTA|Exercise Exercise|28 Videos

Similar Questions

Explore conceptually related problems

find the common tangents of the circle x^(2)+y^(2)=2a^(2) and the parabolay ^(2)=8ax

Find the equations of the common tangents to the circle x^(2)+y^(2)=8 and the parabola y^(2)=16x

The common tangent to the circle x^(2)+y^(2)=a^(2)//2 and the parabola y^(2)=4ax intersect at the focus of the parabola

Equation of the common tangent to the circle x^(2)+y^(2)=50 and the parabola y^(2)=40x can be

The equation of the common tangents to the circle (x-3)^(2)+y^(2)=9 and the parabola y^(2)=4x the x-axis, is

Equation of the common tangent of a circle x^2+y^2=50 and the parabola y^2=40x can be

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

A DAS GUPTA-Parabola-EXERCISE
  1. find the common tangents of the circle x^2+y^2=2a^2 and the parabola...

    Text Solution

    |

  2. Find the equation of the parabola, if the focus is at (-6,-6) and the...

    Text Solution

    |

  3. Prove that the equation y^(2)+2ax+2by+c=0 represents a parabola whose ...

    Text Solution

    |

  4. Prove that the equation y^2-2y+8x-23=0reprsents a parabola and find it...

    Text Solution

    |

  5. If (a^2, a -2) be a point interior to the region of the parabola y^2...

    Text Solution

    |

  6. Show that the tangents at the extremities of any focal chord of a par...

    Text Solution

    |

  7. The orthocenter of a triangle formed by 3 tangents to a parabola y^2=4...

    Text Solution

    |

  8. Tangents are drawn from any point on the line x+4a=0 to the parabola y...

    Text Solution

    |

  9. Prove that the area of triangle formed by the tangents to the parabola...

    Text Solution

    |

  10. Points A, B, C lie on the parabola y^2=4ax The tangents to the parabol...

    Text Solution

    |

  11. If P, Q, R are three points on a parabola y^2=4ax whose ordinates are ...

    Text Solution

    |

  12. Prove that any three tangents to a parabola whose slopes are in harmon...

    Text Solution

    |

  13. Two straight lines are perpendicular to each other. One of them touche...

    Text Solution

    |

  14. Find the equation of the chord to the parabola y^2=4axwhose middle poi...

    Text Solution

    |

  15. Prove that the normal chord to a parabola at the point whose ordinate ...

    Text Solution

    |

  16. Show that the area formed by the normals to y^2=4ax at the points t1,t...

    Text Solution

    |

  17. P & Q are the points of contact of the tangents drawn from the point T...

    Text Solution

    |

  18. For what values of 'a' will the tangents drawn to the parabola y^2 = 4...

    Text Solution

    |

  19. Find the centre and radius of the smaller of the two circles that touc...

    Text Solution

    |

  20. Prove that the length of the intercept on the normal at the point P(a ...

    Text Solution

    |

  21. Prove that the locus of the middle pointsof chords of the parabolay^2=...

    Text Solution

    |