Home
Class 12
MATHS
Find the common tangent of x^(2) + y^(2...

Find the common tangent of `x^(2) + y^(2) = 2a^(2)` and `y^(2) = 8ax`.

A

`x=pm(y+2a)`

B

`y=pm(x+2a)`

C

`x=pm(y+a)`

D

`y=pm(x+a)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    MOTION|Exercise EXERCISE - II|17 Videos

  • PARABOLA

    MOTION|Exercise EXERCISE - III|25 Videos

  • PARABOLA

    MOTION|Exercise EXERCISE - IV|33 Videos

  • MONOTONOCITY

    MOTION|Exercise Exercise - 4 ( Level-II ) Previous Year (Paragraph)|2 Videos

  • PERMUTATION AND COMBINATION

    MOTION|Exercise EXAMPLE|23 Videos

Similar Questions

Explore conceptually related problems

A common tangent to x^(2) - 2y^(2) =18 and x^(2) + y^(2) = 9 is

The common tangent of x^(2)+y^(2)=4 and 2x^(2)+y^(2)=2 is

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

The equation of common tangent of x^(2)+y^(2)=2 and y^(2)=8x is

The equation of common tangent of the curve x^(2) + 4y^(2) = 8 and y^(2) =4x are

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

A common tangent to x^(2)-2y^(2)=18 and x^(2)+y^(2)=9 is

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

MOTION-PARABOLA-EXERCISE - I
  1. If (t^2, 2t) is one end ofa focal chord of the parabola, y^2=4x then ...

    Text Solution

    |

  2. Find the locus of the point of intersection of the perpendicular ta...

    Text Solution

    |

  3. Find the common tangent of x^(2) + y^(2) = 2a^(2) and y^(2) = 8ax.

    Text Solution

    |

  4. The tangents to the parabola x = y^2 + c from origin are perpendicular...

    Text Solution

    |

  5. T P and T Q are tangents to the parabola y^2=4a x at Pa n dQ , respect...

    Text Solution

    |

  6. P Q is a normal chord of the parabola y^2=4a x at P ,A being the verte...

    Text Solution

    |

  7. The normal at the point (bt1^2, 2bt1) on the parabola y^2 = 4bx meets ...

    Text Solution

    |

  8. Locus of the intersection of the tangents at the ends of the normal ch...

    Text Solution

    |

  9. If the normal chhord of the parabola y^(2)=4x makes an angle 45^(@) wi...

    Text Solution

    |

  10. If x+y=k is normal to y^2=12 x , then k is 3 (b) 9 (c) -9 (d) -3

    Text Solution

    |

  11. Tangents are drawn from the points on the line x-y+3=0 parabola y^2=8x...

    Text Solution

    |

  12. The line 4x-7y + 10 = 0 intersects the parabola, y^2 = 4x at the point...

    Text Solution

    |

  13. From the point (4, 6) a pair of tangent lines are drawn to the parabol...

    Text Solution

    |

  14. PSQ is a focal chord of the parabola y^2=8xdotIf\ S P=6, then write SQ...

    Text Solution

    |

  15. The equation of the circle drawn with the focus of the parabola (x – 1...

    Text Solution

    |

  16. The slope of the focal chords of the parabola y^(2) = 16x which are ta...

    Text Solution

    |

  17. The equation of the common tangent touching the circle (x-3)^2+y^2=9 a...

    Text Solution

    |

  18. AB, AC are tangents to a parabola y^2=4ax; p1, p2, p3 are the lengths...

    Text Solution

    |

  19. A point on the parabola y^2=18 x at which the ordinate increases at tw...

    Text Solution

    |

  20. The tangent at the point P(x1, y1) to the parabola y^2 = 4 a x meets t...

    Text Solution

    |