Home
Class 11
MATHS
The equation of common tangent(s) to the...

The equation of common tangent(s) to the parabola `y^2=16 x` and the circle `x^2+y^2=8` is/are `x+y+4=0` (b) `x+y-4=0` `x-y-4=0` (d) `x-y+4=0`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|41 Videos
  • JEE MAINS

    RESONANCE DPP ENGLISH|Exercise All Questions|3 Videos

Similar Questions

Explore conceptually related problems

Equation of common tangent to parabola y^2 = 2x and circle x^2 + y^2 + 4x = 0

Equation of common tangent of parabola y ^(2) = 8x and x ^(2) + y =0 is

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

Find the length of the common chord of the parabola y^2=4(x+3) and the circle x^2+y^2+4x=0 .

Find the length of the common chord of the parabola y^2=4(x+3) and the circle x^2+y^2+4x=0 .

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

Find the equation (s) of the common tangent(s) to the parabola y^(2) - 4x - 2y + 5 =0 and y^(2) = -4x .

Show that the common tangents to the parabola y^2=4x and the circle x^2+y^2+2x=0 form an equilateral triangle.

Show that the common tangents to the parabola y^2=4x and the circle x^2+y^2+2x=0 form an equilateral triangle.

The number of common tangents to the circles x^2+y^2-x = 0 and x^2 + y^2 + x = 0 are

RESONANCE DPP ENGLISH-CONIC SECTIONS-All Questions
  1. An ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 passes through the point (-3,1) ...

    Text Solution

    |

  2. The point of intersection of tangents drawn to the hyperbola (x^2)/(a^...

    Text Solution

    |

  3. The equation of common tangent(s) to the parabola y^2=16 x and the ci...

    Text Solution

    |

  4. The chord of contact of the pair of tangents drawn from each point on ...

    Text Solution

    |

  5. The hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (2, )...

    Text Solution

    |

  6. The tangent at the point P on the rectangular hyperbola x y=k^2 with C...

    Text Solution

    |

  7. If L1&L2 are the lengths of the segments of any focal chord of th...

    Text Solution

    |

  8. If y=2x+3 is a tangent to the parabola y^2=24 x , then find its distan...

    Text Solution

    |

  9. For hyperbola (x^(2))/(cos^(2)alpha)-(y^(2))/(sin^(2)beta)=1 which of ...

    Text Solution

    |

  10. Number of normals drawn from the point (-2,2) to the parabola y^2-2y-2...

    Text Solution

    |

  11. If the line 2x-2y+lambda=0 is a secant to the parabola x^2=-8y , the...

    Text Solution

    |

  12. A set of parallel chords of the parabola y^2=4a x have their midpoint ...

    Text Solution

    |

  13. A rhombus is formed by two radii and two chords of a circle whose r...

    Text Solution

    |

  14. A point on a parabola y^2=4a x , the foot of the perpendicular from it...

    Text Solution

    |

  15. The chord of contact of the pair of tangents drawn from each point on ...

    Text Solution

    |

  16. The focal chord to y^2=16 x is tangent to (x-6)^2+y^2=2. Then the poss...

    Text Solution

    |

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

    Text Solution

    |

  18. Through the vertex ' O^(prime) of the parabola y^2=4a x , variable c...

    Text Solution

    |

  19. The locus of the midpoint of the line segment joining the focus to a ...

    Text Solution

    |

  20. The equation to the chord joining two points (x1,y1)a n d(x2,y2) on th...

    Text Solution

    |