Home
Class 11
MATHS
Find the equation of the common tangents...

Find the equation of the common tangents to `y^2 = 8ax` and `x^2 + y^2 = 2a^2`

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

Find the equation of the common tangent of y^2=4a x and x^2=4a y .

Find the equation of the common tangent to the curves y^2=8x and xy=-1.

Find the equation of the common tangent to the parbolas y^(2)=4 ax and x^(2)=4by

The equation of the common tangent to the curves y^(2)=8x and xy=-1 is-

A common tangent to 9x^2-16y^2 = 144 and x^2 + y^2 = 9 , is

Find the equation o of the common tangent to the parabolas y^(2)=32x and x^(2)=4y

The equation of the common tangent to the parabolas y^2= 4ax and x^2= 4by is given by

Find the equation of the common tangent to the circle x^(2)+y^(2)=8 and the parabola y^(2)=16x .

The equations of the common tangents to the parabola y = x^2 and y=-(x-2)^2 is/are :

Find the equations to the common tangents to the two hyperbolas (x^2)/(a^2)-(y^2)/(b^2)=1 and (y^2)/(a^2)-(x^2)/(b^2)=1

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Prove that the chord ysqrt(2)x+4asqrt(2)=0 is a normal chord of the pa...

    Text Solution

    |

  2. Find the point on the curve y^2=a x the tangent at which makes an angl...

    Text Solution

    |

  3. Find the equation of the common tangents to y^2 = 8ax and x^2 + y^2 = ...

    Text Solution

    |

  4. Find the points of contact Q and R of tangents from the point P (2,3) ...

    Text Solution

    |

  5. Two straight lines (y-b) =m(1)(x+a)and(y-b)=m(2)(x+a) are the tangents...

    Text Solution

    |

  6. A pair of tangents are drawn to the parabola y^2=4a x which are equall...

    Text Solution

    |

  7. Tangents are drawn from the point (-1,2) on the parabola y^(2)=4x. Fin...

    Text Solution

    |

  8. Tangents are drawn to the parabola (x-3)^2+(y+4)^2=((3x-4y-6)^2)/(25) ...

    Text Solution

    |

  9. Find the locus of point of intersection of tangents to the parabola y^...

    Text Solution

    |

  10. Mutually perpendicular tangents T A and T B are drawn to y^2=4a x . T...

    Text Solution

    |

  11. Tangents PA and PB are drawn from point P on the directrix to the para...

    Text Solution

    |

  12. A square has one vertex at the vertex of the parabola y^2=4a x and the...

    Text Solution

    |

  13. P ,Q , and R are the feet of the normals drawn to a parabola (y-3)^2=8...

    Text Solution

    |

  14. The equation of the line that passes through (10 ,-1) and is perpendic...

    Text Solution

    |

  15. The axis of parabola is along the line y=x and the distance of its ver...

    Text Solution

    |

  16. The locus of the circumcenter of a variable triangle having sides the ...

    Text Solution

    |

  17. If the normals at P(t(1))andQ(t(2)) on the parabola meet on the same p...

    Text Solution

    |

  18. From a point (sintheta,costheta), if three normals can be drawn to the...

    Text Solution

    |

  19. If the normals to the parabola y^2=4a x at the ends of the latus rectu...

    Text Solution

    |

  20. Tangent and normal drawn to a parabola at A(a t^2,2a t),t!=0 meet the ...

    Text Solution

    |