Home
Class 11
MATHS
If P(2,8) is one end of the focal chord ...

If P(2,8) is one end of the focal chord PQ of the parabola
` (8t^(2), t 16) ` , then the mid-point of PQ is

A

(10,10)

B

(11,11)

C

(17,-12)

D

(11,-12)

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

If P(-3, 2) is one end of the focal chord PQ of the parabola y^(2) + 4x + 4y = 0 , then the slope of the normal at Q is

If the point P(4, -2) is the one end of the focal chord PQ of the parabola y^(2)=x, then the slope of the tangent at Q, is

If P(2, 1) is one end of focal chord PQ of the parabola x^(2)+2y- 2x-2=0 then the slope of the normal at Q is

If P(2,1) is one end of focal chord PQ of the parabola x^(2)+2y-2x-2=0 then the slope of the normal at Q is

P(-3,2) is one end of focal chord PQ of the parabola y^(2)+4x+4y=0. Then the slope of the normal at Q is

If (2,-8) is at an end of a focal chord of the parabola y^(2)=32x, then find the other end of the chord.

If t is the parameter of one end of a focal chord of the parabola y^(2) = 4ax , show that the length of this focal chord is (t + (1)/(t))^(2) .

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. The length of the latusrectum of the parbola whose focus is (3, 3) and...

    Text Solution

    |

  2. If (x(1) ,y(1))" and " (x(2) , y(2)) are ends of a chord of y^(2) = ...

    Text Solution

    |

  3. If P(2,8) is one end of the focal chord PQ of the parabola (8t^(2),...

    Text Solution

    |

  4. If (x(1) , y(1)) " and " (x(2), y(2)) are ends of a focal chord of pa...

    Text Solution

    |

  5. Write the length of het chord of the parabola y^2=4a x which passes th...

    Text Solution

    |

  6. If the focal distance of a point on the parabola y^(2) = 8x is 4,...

    Text Solution

    |

  7. If (4,0) is the vertex , and Y-axis the directrix of a parabola , then...

    Text Solution

    |

  8. If ASB is a focal chord of a parabola such that AS = 2 and SB = 4 , th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Semi-axes are 3 and 2

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |