Home
Class 11
MATHS
The parametric coordinates of any point ...

The parametric coordinates of any point on the parabola `y^(2) = 4ax` can be

A

`(- at^(2) , -2at)`

B

`(-at^(2), 2at)`

C

`(a . sin^(2) t, -2a . sin t)`

D

`a * sin t, - 2a * cos t )`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • BERNOULLI TRIALS AND BINOMIAL DISTRIBUTION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|79 Videos

  • PROBABILITY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|239 Videos

Similar Questions

Explore conceptually related problems

The parametric coordinates of any point on the circle x^(2) + y^(2) – 4x – 4y = 0 are

The parametric coordinates of any point on the parabola whose focus is (0,1) and the directrix is x+2=0 , are :

The parametric coordinates of a point on the circle x^(2)+y^(2)-2x+2y-2=0 are

The focus of the parabola y^(2) = - 4ax is :

The abscissa of any points on the parabola y^(2)=4ax are in the ratio mu:1. If the locus of the point of intersection at these two points is y^(2)=(mu^((1)/(lambda))+mu^(-(1)/(lambda)))^(2) ax.Then find lambda

The locus of the mid-point of the line segment joning the focus to a moving point on the parabola y^(2)=4ax is another parabola with directrix

Equation of tangent to parabola y^(2)=4ax

Position of point with respect to parabola y^(2)=4ax

Foot of the directrix of the parabola y^(2) = 4ax is the point

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. If ASB is a focal chord of a parabola such that AS = 2 and SB = 4 , th...

    Text Solution

    |

  2. Equation of the directrix of the parabola 5y^(2) = 4x is

    Text Solution

    |

  3. The parametric coordinates of any point on the parabola y^(2) = 4ax ca...

    Text Solution

    |

  4. If PSQ is a focal chord of the parabola y^(2) = 4ax such that SP = 3...

    Text Solution

    |

  5. If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , the...

    Text Solution

    |

  6. If the equation of a parabola is y^(2) + 12x - 4y = 32 , then its ec...

    Text Solution

    |

  7. Distance between an end of a latus-rectum of the parabola y^(2) = 16x...

    Text Solution

    |

  8. Semi-axes are 3 and 2

    Text Solution

    |

  9. Find the equation of th ellipse, the co-ordinates of whose foci are (p...

    Text Solution

    |

  10. Find the equation of the ellipse which passes through the points (3,1)...

    Text Solution

    |

  11. Find the equation to the ellipse (referred to its axes as the axes of ...

    Text Solution

    |

  12. Find equation of ellipse whose l(latus-rectum) = (5)/(2) and eccentri...

    Text Solution

    |

  13. Minor axis = 6 and one vertex at (5,0) .

    Text Solution

    |

  14. Major axis = 3 (minor axis) and l (latus-rectum ) = 2

    Text Solution

    |

  15. Foci are (pm 3,0) " and vertices " (pm 5,0)

    Text Solution

    |

  16. Find equation of ellipse whose vertices are (pm 3,0) and passes thro...

    Text Solution

    |

  17. Distance between foci is 6 and eccentricity is 3/5

    Text Solution

    |

  18. Distance between directrices is 10 and eccentricity (1)/(sqrt(5)) .

    Text Solution

    |

  19. Distance between foci is 4 and distance between directrices is 5

    Text Solution

    |

  20. Distance between foci is 8 and major axis is 10.

    Text Solution

    |