Home
Class 11
MATHS
Find the equation of the parabola with f...

Find the equation of the parabola with focus `(2,0)` and directrix `x=-2`.

Text Solution

Verified by Experts

The correct Answer is:
`y^(2) = 8x`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|22 Videos

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|10 Videos

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise LATEST EXAM MCQS|4 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise (Questions of Module) (Knowledge Test :)|15 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST :)|12 Videos

Similar Questions

Explore conceptually related problems

The equation of the parabola with the focus (3,0) and directrix x+3=0 is

Find the equation of the parabola whose focus is (5,3) and directrix is the line 3x-4y+1=0.

Equation of parabola with focus (-3, 0) and directrix x + 5 = 0 is …….

The equation of the parabola having focus at (-1, -2) and the directrix x - 2y + 3 = 0 is ……..

Obtain the equation of the parabola with given conditions:Focus (4,0) and directrix is x + 4 = 0.

Find the equation of the parabola with vertex at (0,0) and focus at (0,2) .

The length of the latusrectum of the parbola whose focus is (3, 3) and directrix 3x-4y-2=0, is

Obtain the equation of the parabola with given conditions:Focus (1,-1) and one vertex (2,1)

Obtain the equation of the parabola with given conditions:Focus (-1,2) equation of the directrix x - y + 1 = 0.

Find the equation of each of the following parabolas : (i) Directrix x = 0, focus at (6, 0) (ii) Vertex at (0,4), focus at (0,2) (iii) Focus at (-1, -2), directrix x - 2y + 3 = 0.

KUMAR PRAKASHAN-CONIC SECTIONS-TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK
  1. Find the equation of the circle with centre at (0,0) and radius r.

    Text Solution

    |

  2. Find the equation of the circle with centre (-3,2) and radius 4.

    Text Solution

    |

  3. Find the centre and the radius of the circle x^(2)+y^(2)+8x+10y-8=0.

    Text Solution

    |

  4. Find the equation of the circle which passes through the point (2,-2),...

    Text Solution

    |

  5. Find the coordinates of the focus , axis, the question of the directri...

    Text Solution

    |

  6. Find the equation of the parabola with focus (2,0) and directrix x=-2.

    Text Solution

    |

  7. Find the equation of the parabola with vertex at (0,0) and focus at (0...

    Text Solution

    |

  8. Find the equation of the parabola which is symmetric about y-axis, and...

    Text Solution

    |

  9. Find the coordinates of the foci, the vertices, the length of major ax...

    Text Solution

    |

  10. Find the coordinates of the foci, the vertices, the lengths of major a...

    Text Solution

    |

  11. Find the equation of the ellipse whose vertices are (+-13,0) and foci ...

    Text Solution

    |

  12. Find the equation of the ellipse, whose length of the major axis is 20...

    Text Solution

    |

  13. Find the equation of the ellipse, with major axis along the x-axis and...

    Text Solution

    |

  14. Find the corrdinates of the foci and the vertices, the eccentricity, t...

    Text Solution

    |

  15. Find the equation of the hyperbola with foci (0,+-3) and vertices (0,+...

    Text Solution

    |

  16. Find the equation of the hyperbola where foci are (0,+-12) and the len...

    Text Solution

    |

  17. The focus of a parabolic mirror as shown in Fig. is at a distance of 5...

    Text Solution

    |

  18. A beam is supported at its ends by supports which are 12 metres apart....

    Text Solution

    |

  19. A rod AB of length 15 cm rests in between two coordinate axes is such ...

    Text Solution

    |