Home
Class 12
MATHS
Find the equation of the parabola with v...

Find the equation of the parabola with vertex (0,0) and passing through (2,3) and axis is along the x-axis.

A

`x^(2)=9/2y`

B

`y^(2)=9/2 x`

C

`y^(2)=9/2 x`

D

`x^(2)=-9/2y`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |27 Videos
  • COMPLEX NUMBERS

    BITSAT GUIDE|Exercise BITSET Archives |13 Videos
  • DEFINITE INTEGRALS AND ITS APPLICATIONS

    BITSAT GUIDE|Exercise BITSAT Archives |25 Videos

Similar Questions

Explore conceptually related problems

Vertex (0, 0) passing through (2,3) and axis is along x-axis.

The equation of the parabola with vertex at the origin passing through (2,3) and the axis along x-axis is

Find the equation of the parabola if: (i) Vertex (0,0) and foci (0,3)

Find the equation of the line parallel to x-axis and passing through (3,-5).

Find the equation of the parabola that satisfies the given conditions: Vertex (0,0) passing through (2,3) arid axis is along xaxis.

Find the equation of the parabola with vertex at the origin, passing through the point P(5,2) and symetric with respect to the y-axis.

Find the equation of the parabola with vertex at the origin, passing throgh the point P(3,-4) and symmetric about the y-axis.

Find the equation of the parabola, which has vertex (0,0) and its symmetric about y-axis and passes through the point (2,-3).

Find equation of a parabola with vertex at (4,-3) and length of latus rectum =4 and axis parallel to x -axis?

BITSAT GUIDE-CONIC SECTIONS-BITSAT ARCHIVES
  1. Find the equation of the parabola with vertex (0,0) and passing throug...

    Text Solution

    |

  2. The locus of the points of intersectino of the tangents at the extremi...

    Text Solution

    |

  3. A variable chord PQ of the parabola y^2 = 4ax subtends a right angle ...

    Text Solution

    |

  4. The foci of the conic 25x^(2) +16y^(2)-150 x=175 are :

    Text Solution

    |

  5. The radius of the circle passing through the foci of the ellipse (x^(2...

    Text Solution

    |

  6. If OAB is an equilateral triangle inscribed in the parabola y^(2) = 4a...

    Text Solution

    |

  7. If the length of the major axis of the ellipse ((x^(2))/(a^(2)))+((y^(...

    Text Solution

    |

  8. Let S and T be the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(bh^(2)...

    Text Solution

    |

  9. The difference of the focal distances of any point on the hyperbola is...

    Text Solution

    |

  10. If the focus of a parabola is at (0, -3) and its directrix is y = 3, t...

    Text Solution

    |

  11. The length of tangent from (5,1) to the circle x^(2)+y^(2)+6x-4y-3=0 ...

    Text Solution

    |

  12. The length of the latus rectum of the parabola 169{(x-1)^2+(y-3)^2}=(5...

    Text Solution

    |

  13. If the centre, one of the foci and semi-major axis of an ellipse are (...

    Text Solution

    |

  14. The radius of the director circle of the hyperbola (x^(2))/(a^(2))-(y^...

    Text Solution

    |

  15. The equation of the chord of y^(2) = 8x which is bisected at (2, - 3),...

    Text Solution

    |

  16. Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a ri...

    Text Solution

    |

  17. The line y=bt meets the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 in real poin...

    Text Solution

    |

  18. The distance between the foci of the hyperbola x^(2)-3y^(2)-4x-6y-11=0...

    Text Solution

    |

  19. The length of the common chord of the ellipse ((x-1)^2)/(9) + ((y-2)^2...

    Text Solution

    |

  20. For hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1which of the followin...

    Text Solution

    |

  21. The equation of the parabola with its vertex at (1, 1) and focus (3, 1...

    Text Solution

    |