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

Find the equation of the parabola with focus `f(4,0)` and directrix `x=−4`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

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

Find the equation of the parabola with focus (5, 0), and directrix x = -5 . Also, find the length of the latus rectum.

The equation or the parabola with focus (0, 0) and directrix x+y = 4 is

Write the equation of the parabola with focus (0,0) and directrix x+y-4=0.

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

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

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

Find the equaiton of the parabola whose focus is (4, 0) and directrix is x=-4

The equation of the parabola with focus (0,0) and directrix x + y - 4 = 0 is

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

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If incident from point (-1,2) parallel to the axis of the parabola y^2...

    Text Solution

    |

  2. Find the equation of parabola having focus at (1,1) and vertex at (-3,...

    Text Solution

    |

  3. Find the equation of the parabola with focus f(4,0) and directrix x=−4...

    Text Solution

    |

  4. Find the value of lambda if the equation (x-1)^2+(y-2)^2=lambda(x+y+3)...

    Text Solution

    |

  5. The equation of the latus rectum of a parabola is x+y=8 and the equati...

    Text Solution

    |

  6. Prove that the locus of the center of a circle, which intercepts a cho...

    Text Solution

    |

  7. Find the value of lambda if the equation 9x^2+4y^2+2lambdax y+4x-2y+3=...

    Text Solution

    |

  8. Find the range of values of lambda for which the point (lambda,-1) is ...

    Text Solution

    |

  9. Prove that the locus of a point, which moves so that its distance from...

    Text Solution

    |

  10. L O L ' and M O M ' are two chords of parabola y^2=4a x with vertex A ...

    Text Solution

    |

  11. If (a ,b) is the midpoint of a chord passing through the vertex of the...

    Text Solution

    |

  12. If two of the three feet of normals drawn from a point to the parabola...

    Text Solution

    |

  13. If three distinct normals can be drawn to the parabola y^2-2y=4x-9 fro...

    Text Solution

    |

  14. Find the locus of thepoint of intersection of two normals to a parabol...

    Text Solution

    |

  15. P(t1) and Q(t2) are the point t1a n dt2 on the parabola y^2=4a x . The...

    Text Solution

    |

  16. Prove that the locus of the point of intersection of the normals at th...

    Text Solution

    |

  17. Find the number of distinct normals that can be drawn from (-2,1) to t...

    Text Solution

    |

  18. If the line passing through the focus S of the parabola y=a x^2+b x+c ...

    Text Solution

    |

  19. If a focal chord of y^2=4a x makes an angle alpha in [0,pi/4] with the...

    Text Solution

    |

  20. Find the length of the normal chord which subtends an angle of 90^@ at...

    Text Solution

    |