Home
Class 11
MATHS
If points (au^(2), 2au)'" and " (av^(2)...

If points ` (au^(2), 2au)'" and " (av^(2) , 2av)` are ends of a focal chord of ` y^(2) = 4ax ` , then

A

uv = 1

B

u + v = 0

C

u - v= 0

D

1 + uv = 0

Text Solution

Verified by Experts

The correct Answer is:
D
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 (3a , 2 asqrt(3)) is one end of a focal chord PQ of y^(2) = 4ax then PQ =

If b and k are segments of a focal chord of the parabola y^(2)= 4ax , then k =

If (x_(1) , y_(1)) " and " (x_(2), y_(2)) are the ends of a focal chord of the parabola y^(2) = 4ax , evaluate : x_(1) x_(2) + y_(1) y_(2) .

If P(at_(1)^(2),2at_(1)) and Q(at_(2)^(2),2at_(2)) are the ends of focal chord of the parabola y^(2)=4ax then t_(1)t_(2)

If (x_(1),y_(1)) and (x_(2),y_(2)) are ends of a focal chord of y^(2)=4ax, then values of x_(1)x_(2) and y_(1)y_(2)are(A)a^(2),a^(2)(B)2a^(2),a^(2)(C)a^(2),-4a^(2) (D) a,a

If (x_(1),y_(1)) and (x_(2),y_(2)) are the end points of focal chord of the parabola y^(2)=4ax then 4x_(1)x_(2)+y_(1)y_(2)

If (x _(a), y_(1))and (x_(2), (y_(2)) are the end points of a focal chord of the parabola y ^(2) = 5x, then 4 x _(1) x_(2)+y_(1)y_(2)=

If the point (at^(2),2at) be the extremity of a focal chord of parabola y^(2)=4ax then show that the length of the focal chord is a(t+(1)/(t))^(2)

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. If (4,0) is the vertex , and Y-axis the directrix of a parabola , then...

    Text Solution

    |

  2. The angle subtended by the double ordinate of length 8a of the parabol...

    Text Solution

    |

  3. If points (au^(2), 2au)'" and " (av^(2) , 2av) are ends of a focal c...

    Text Solution

    |

  4. A circle centred at the vertex of parabola x^(2) = 4y intersects it ...

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

    Text Solution

    |

  7. If a parabole y^(2) = 4ax passes through (2,-6), then its latus-rectu...

    Text Solution

    |

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

    Text Solution

    |

  9. The length of the latusrectum of the parbola whose focus is (3, 3) and...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |