Home
Class 11
MATHS
The equation of parabola whose vertex an...

The equation of parabola whose vertex and focus lie on the axis of x at distances a and `a_1` from the origin respectively, is

A

`y ^(2) =4 (a'-a) (x-a)`

B

`y ^(2) =4 (a'-a_ (x+a)`

C

`y ^(2)=4 (a'+a) (x-a)`

D

`y ^(2) = (a'+a ) (x+a)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise EVALUATION TEST|28 Videos
  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|75 Videos
  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

Similar Questions

Explore conceptually related problems

The equation of the parabola whose vertex and focus lie on the axis of x at distances a and a_(1) from the origin,respectively,is y^(2)-4(a_(1)-a)xy^(2)-4(a_(1)-a)(x-a)y^(2)-4(a_(1)-a)(x-a)1) none of these

What is the equation of the parabola, whose vertex and focus are on the x-axis at distance a and b from the origin respectively ? (bgtagt0)

P is parabola,whose vertex and focus are on the positive x axis at distances a and a 'from the origin respectively,then (a'>a). Length of latus ractum of P will be

The equation of the parabolas with vertex at -1,1 and focus 2,1 is

Let a parabola P be such that its vertex and focus lie on the positive x- axis at a distance 2 and 4 units from the origin , respectively .If tangents are drawn from O(0,0) to the parabola P which meet P at S and R , then the area (in sq .units)of DeltaSOR is equal to :

The equation of parabola whose vertex and focus are (0,4) and (0,2) respectively, is

The equation of the parabola whose vertex is at(2, -1) and focus at(2, -3), is

TARGET PUBLICATION-CIRCLE AND CONICS -COMPETITIVE THINKING
  1. The equation of the parabola with (-3, 0) and focus and x+5=0 as dire...

    Text Solution

    |

  2. Find the equation of the parabola whose focus is (5,3) and directrix i...

    Text Solution

    |

  3. The equation of parabola whose vertex and focus lie on the axis of x a...

    Text Solution

    |

  4. If P is point on the parabola y ^(2) =8x and A is the point (1,0), the...

    Text Solution

    |

  5. Eccentricity of the parabola x^2-4x-4y+4=0 is

    Text Solution

    |

  6. A parabola has the origin as its focus and the line x""=""2 as the ...

    Text Solution

    |

  7. The vertex of the parabola y ^(2) -4y-x+3=0 is

    Text Solution

    |

  8. Vertex of the parabola x ^(2) +4x + 2y -7=0 is

    Text Solution

    |

  9. The focous of the parabola y = 2x ^(2) + x is

    Text Solution

    |

  10. The focus of the conic x ^(2) -6x + 4y +1=0 is

    Text Solution

    |

  11. A line cuts the X-axis at A (5,0) and the Y-axis at B(0,-3). A variabl...

    Text Solution

    |

  12. The distance between the vertex and the focus of the parabola x ^(2) -...

    Text Solution

    |

  13. Equation of the directrix of the parabola y^(2)+4x+2=0 is

    Text Solution

    |

  14. The equation of the directrix of the parabola x ^(2) + 8y -2x =7 is

    Text Solution

    |

  15. For the parabola y ^(2) +6y -2x =-5 I) the vertex is (-2, -3) II) ...

    Text Solution

    |

  16. The two parabolas x^2= 4y and y^2=4x meet in two distinct points. One...

    Text Solution

    |

  17. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

    Text Solution

    |

  18. The cartesian co - ordinates of the point on the parabola y^(2)=...

    Text Solution

    |

  19. Tangent and normal are drawn at P(16,16) on the parabola y^2=16x which...

    Text Solution

    |

  20. The straight lines y=+-x intersect the parabola y^(2)=8x in points P a...

    Text Solution

    |