Home
Class 12
MATHS
If the parabola y^2 = ax passes through ...

If the parabola `y^2 = ax` passes through (3,2) then the focus is

A

`(4/3, 0)`

B

`(0,4/3)`

C

`(1/3, 0)`

D

`(0,1/3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - ELLIPSE|18 Videos

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - CIRCLE|18 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|194 Videos

  • DIFFERENTIAL EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTION|19 Videos

Similar Questions

Explore conceptually related problems

The parabola y^(2)=4ax passes through the point (2,-6), the the length of its latus rectum is . . . .

Statement 1: The line joining the points (8,-8)a n d(1/2,2), which are on the parabola y^2=8x , passes through the focus of the parabola. Statement 2: Tangents drawn at (8,-8) and (1/2,2), on the parabola y^2=4a x are perpendicular.

If normals drawn at three different point on the parabola y^(2)=4ax pass through the point (h,k), then show that h hgt2a .

Find the equation of tangents of the parabola y^2=12 x , which passes through the point (2, 5).

Find the locus of the midpoint of chords of the parabola y^2=4a x that pass through the point (3a ,a)dot

If two distinct chords of a parabola y^2=4ax , passing through (a,2a) are bisected by the line x+y=1 ,then length of latus rectum can be

Let L be a normal to the parabola y^2=4xdot If L passes through the point (9, 6), then L is given by

The point (a ,2a) is an interior point of the region bounded by the parabola y^2=16 x and the double ordinate through the focus. then find the values of adot

Let S is the focus of the parabola y^2 = 4ax and X the foot of the directrix, PP' is a double ordinate of the curve and PX meets the curve again in Q. Prove that P'Q passes through focus.

If hyperbola (x^2)/(b^2)-(y^2)/(a^2)=1 passes through the focus of ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , then find the eccentricity of hyperbola.

NEW JOYTHI PUBLICATION-CONIC SECTIONS -EXERCISE - PARABOLA
  1. The vertex of the parabola y^2 + 4x = 0 is

    Text Solution

    |

  2. The focus of the parabola y^2 = 20 x is

    Text Solution

    |

  3. The axis of the parabola y^2 = x is the line

    Text Solution

    |

  4. The latus rectum of the parabola y^2 = 11x is of length

    Text Solution

    |

  5. If (3,0) is the focus and y axis is the tangent at vertex. Then the eq...

    Text Solution

    |

  6. If the parabola y^2 = ax passes through (3,2) then the focus is

    Text Solution

    |

  7. Equation of the parabola with focus (-4,0) and vertex at the origin is

    Text Solution

    |

  8. The equation of the directrix of the parabola x^2 = 28y = 0 is

    Text Solution

    |

  9. The vertex of the parabola y^2 = 4x + 4y is

    Text Solution

    |

  10. The focus of the parabola 4y^2 + 12x - 12y + 39 = 0 is

    Text Solution

    |

  11. Axis of the parabola x^2 - 3y - 6x + 6 = 0 is

    Text Solution

    |

  12. The equation of the parabola with vertex at (0,0) , axis along y axis ...

    Text Solution

    |

  13. The length of latus rectum of the parabola 4y^2 + 2x - 20y + 17 = 0 is

    Text Solution

    |

  14. The length of the latus rectum of the parabola x^2 - 4x - 8y + 12 = 0 ...

    Text Solution

    |

  15. The equation of the directrix of the parabola y^2 + 4y + 4x + 2 = 0 is

    Text Solution

    |

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

    Text Solution

    |

  17. Equation of the parabola with focus (3,0) and the directrix x + 3 = 0 ...

    Text Solution

    |

  18. If (0,6) and (0,3) are respectively the vertex and focus of a parabola...

    Text Solution

    |

  19. The line x - y + 2 = 0 touches the parabola y^2 = 8x at the point

    Text Solution

    |