Home
Class 11
MATHS
Find the point on the parabola y^(2) = ...

Find the point on the parabola `y^(2) = - 36 x ` at which the ordinate is three times the abscissa .

A

(4,12)

B

(-12,-4)

C

)-4,-12)

D

(12,-4)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE AND SUB-MULTIPLE ANGLES

    PATHFINDER|Exercise QUESTION BANK|21 Videos

  • PERMUTATION AND COMBINATION

    PATHFINDER|Exercise QUESTION BANK|223 Videos

Similar Questions

Explore conceptually related problems

Find the point on parabola y^(2) = - 20 x at which the ordinate is double the abscissa .

Find the point on the parabola y^(2) = 12 x at which the ordinate is double than abscissa.

Find the equation of the tangent at the specified points to each of the following curves. the parabola y^(2)=36x at point whose ordinate is three times the abscissa

A point on the parabola y^(2)=18x at which the ordinate increases at twice the rate of the abscissa is-

A point on the parabola y^2=18 x at which the ordinate increases at twice the rate of the abscissa is (a)(2,6) (b) (2,-6) (c) (9/8,-9/2) (d) (9/8,9/2)

Find the coordinates of the position of a particle moving along the parabola y^(2) = 4x at which the rate of increase of the abscissa is twice the rate of increase of the ordinate.

Find the point on the parabola y^2=2x which is closest to the point (1,4).

Find the area bounded by the parabola y^(2) =4ax and its double ordinate x =b

Find the points on the parabola y^2-2y-4x=0 whose focal length is 6.

Find the coordinates of the point on the line 7x-6y=20 for which the ordinate is double the abscissa.

PATHFINDER-PARABOLA, ELLIPSE AND HYPERBOLA-QUESTION BANK
  1. Find the length of the latus rectum of the parabola y =- 2x^(2) + 12 ...

    Text Solution

    |

  2. The vertex of a parabola is at the origin and its focus is (0,-(5)/(4...

    Text Solution

    |

  3. Find the point on the parabola y^(2) = - 36 x at which the ordinate ...

    Text Solution

    |

  4. The coordinates of the vertex and focus of a parabola are (1,2) and ...

    Text Solution

    |

  5. Find the equation of the parabola whose vertexi is the point (1,-2) an...

    Text Solution

    |

  6. Find the equatio of the parabola whose focus is at the origin and the...

    Text Solution

    |

  7. Find the coordinates of vartex and the length of latus rectum of the p...

    Text Solution

    |

  8. If theta is a variable paramete, then the equations x= 1/4(3- cosec ^(...

    Text Solution

    |

  9. The locus of middle points of a family of focal chord of the parabola ...

    Text Solution

    |

  10. The coordinates of the two ends of latus rectum of a parabola are (8,1...

    Text Solution

    |

  11. A parabola passes through the points (0.0) ,(2,2) and (-2,-6) and it...

    Text Solution

    |

  12. If (at^(2) , 2at) be the coordinate of an extremity of a focal chord o...

    Text Solution

    |

  13. The directrix of a parabola is x + y + 4 = 0 and vertix is the point (...

    Text Solution

    |

  14. Show that the equation of the chord of the parabola y^2=4ax through th...

    Text Solution

    |

  15. The pt. (2+4costheta, 1+2sintheta) represents the parametric coordinat...

    Text Solution

    |

  16. If eccentricities of the ellipse x^2/36+y^2/25=1 and x^2/a^2+y^2/b^2=1...

    Text Solution

    |

  17. The length of the latus rectum of the ellipse 2x^2+4y^2=16 is

    Text Solution

    |

  18. The coordinates of the foci of the ellipse 20x^2+4y^2=5 are

    Text Solution

    |

  19. The length of the semi-major axis of an ellipse is 13 and its eccentri...

    Text Solution

    |

  20. The eccentricy of the ellipse x^2+4y^2+2x-24y+33=0 is

    Text Solution

    |