Home
Class 11
MATHS
If (x(1) , y(1)) " and " (x(2), y(2)) a...

If ` (x_(1) , y_(1)) " and " (x_(2), y_(2))` are ends of a focal chord of parabola
` 3y^(2) = 4x , " then " x_(1) x_(2) + y_(1) y_(2)` =

A

`12`

B

`-12`

C

`1/3`

D

`-(1)/(3)`

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 (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 (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 (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_(1),y_(1)) & (x_(2),y_(2)) are the extremities of the focal chord of parabola y^(2)=4ax then y_(1)y_(2)=

If (x_(1),y_(1)),(x_(2),y_(2)) are the extremities of a focal chord of the parabola y^(2)=16x then 4x_(1)x_(2)+y_(1)y_(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

Normals at two points (x_(1) ,y_(1)) and (x_(2), y_(2)) of the parabola y^(2)=4x meet again on the parabola where x_(1)+x_(2)=4 .Then sqrt(2)|y_(1)+y_(2)| =

If the normals at two points (x_(1),y_(1)) and (x_(2),y_(2)) of the parabola y^(2)=4x meets again on the parabola, where x_(1)+x_(2)=8 then |y_(1)-y_(2)| is equal to

If (x_(1) ,y_(1))" and " (x_(2) , y_(2)) are ends of a chord of y^(2) = 4ax , which cuts its axis at a distance delta from the origin , then the product x_(1) x_(2) =

If the ends of a focal chord of the parabola y^(2) = 8x are (x_(1), y_(1)) and (x_(2), y_(2)) , then x_(1)x_(2) + y_(1)y_(2) is equal to

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. If (x(1) ,y(1))" and " (x(2) , y(2)) are ends of a chord of y^(2) = ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Semi-axes are 3 and 2

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |