Home
Class 12
MATHS
The vertex of the parabola y^2 = 8x is a...

The vertex of the parabola `y^2 = 8x` is at the centre of a circle and the parabola cuts the circle at the ends of itslatus rectum. Then the equation of the circle is

A

`x^(2) + y^(2) = 4`

B

`x^(2) + y^(2) = 20`

C

`x^(2) + y^(2) = 80`

D

`x^(2) + y^(2) = 1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-C|44 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - A)|55 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

The vertex of the parabola y^(2)-2x+8x-23=0 is

Find the area of the triangle formed by the lines joining the vertex of the parabola x^(2) = -8y to the ends of its latus rectum.

Find the area of the triangle formed by the lines joining the vertex of the parabola x^(2) = 8y to the ends of its latus rectum.

The area of the triangle formed by the lines joining the vertex of the parabola x^(2) = 12 y to the ends of its latus rectum is

Find the area of the triangle formed by the lines joining the vertex of the parabola x^2=12 y to the ends of its latus-rectum.

From the focus of the parabola y^2=2px as centre, a circle is drawn so that a common chord of the curve is equidistant from the vertex and the focus. The radius of the circle is

Find the area of the triangle formed by the lines joining the vertex of the parabola y^(2) = 16x to the ends of the latus rectum.

Find the area of the triangle formed by the lines joining the vertex of the parabola x^2 = - 36y to the ends of the latus rectum.

Find the equation of a line joining the vertex of parabola y^(2)=8x to its upper end of latus rectum.

The focal chords of the parabola y^(2)=16x which are tangent to the circle of radius r and centre (6, 0) are perpendicular, then the radius r of the circle is

AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION-B
  1. The normal at any point P(t^(2), 2t) on the parabola y^(2) = 4x meets ...

    Text Solution

    |

  2. A ray of light moving parallel to x-axis gets reflected from a parabol...

    Text Solution

    |

  3. The vertex of the parabola y^2 = 8x is at the centre of a circle and t...

    Text Solution

    |

  4. The mirror image of the focus to the parabola 4(x + y) = y^(2) w.r.t....

    Text Solution

    |

  5. A tangent to the parabola y^2=8x makes an angle of 45^0 with the strai...

    Text Solution

    |

  6. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

    Text Solution

    |

  7. The parametric coordinates of a point on the ellipse, whose foci are (...

    Text Solution

    |

  8. The number of values of c such that the straight line y=4x+c touches t...

    Text Solution

    |

  9. The locus of mid points of parts in between axes and tangents of ellip...

    Text Solution

    |

  10. The equation of the chord of the ellipse x^(2) + 4y^(2) = 4 having th...

    Text Solution

    |

  11. The equation of the passing through the of the ellipse (x^(2))/(16)+(y...

    Text Solution

    |

  12. If two points are taken on the minor axis of an ellipse (x^2)/(a^2)...

    Text Solution

    |

  13. Find the locus of the foot of the perpendicular drawn from the cent...

    Text Solution

    |

  14. find the common tangents of the circle x^2+y^2=2a^2 and the parabola...

    Text Solution

    |

  15. The line l x+m y+n=0 is a normal to the ellipse (x^2)/(a^2)+(y^2)/(...

    Text Solution

    |

  16. The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(...

    Text Solution

    |

  17. From a point P, two tangents are drawn to the parabola y^(2) = 4ax. I...

    Text Solution

    |

  18. The centre of the ellipse 4x^(2) + 9y^(2) + 16x - 18y - 11 = 0 is

    Text Solution

    |

  19. The length of the latus rectum of the ellipse 2x^(2) + 3y^(2) - 4x -...

    Text Solution

    |

  20. The co-ordinates of foci of an ellipse 3x^(2)+4y^(2)+12x+16y-8=0 is :

    Text Solution

    |