Home
Class 11
MATHS
Points A,B,C,D, on y^(2) = 4ax have pa...

Points A,B,C,D, on ` y^(2) = 4ax ` have parameters ` t_(1) , t_(2), t_(3) , t_(4)` respectively . If AB ` bot ` CD then `(t_(1) + t_(2)) (t_(3) + t_(4)) = `

A

0

B

1

C

-4

D

4

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

Points A,B ,C , D on y^(2) = 4ax have parameters t_(1) , t_(2), t_(3), t_(4) respectively . If AB || CD , then

If a circle cuts a rectangular hyperbola xy=1 in four points P,Q,R,S and the parameters of these four points be t_(1),t_(2),t_(3) and t_(4) respectively and -20t_(1)t_(2)t_(3)t_(4)=k , then value of k equals

Normals are drawn to the parabola y^(2)=4ax at the points A,B,C whose parameters are t_(1),t_(2) and t_(3) ,respectively.If these normals enclose a triangle PQR,then prove that its area is (a^(2))/(2)(t-t_(2))(t_(2)-t_(3))(t_(3)-t_(1))(t_(1)+t_(2)+t_(3))^(2) Also prove that Delta PQR=Delta ABC(t_(1)+t_(2)+t_(3))^(2)

A circle drawn on any focal AB of the parabola y^(2)=4ax as diameter cute the parabola again at C and D. If the parameters of the points A, B, C, D be t_(1), t_(2), t_(3)" and "t_(4) respectively, then the value of t_(3),t_(4) , is

If a circle and the rectangular hyperbola xy = c^(2) meet in four points 't'_(1) , 't'_(2) , 't'_(3) " and " 't'_(4) then prove that t_(1) t_(2) t_(3) t_(4) = 1 .

If a circle intersects the parabola y^(2) = 4ax at points A(at_(1)^(2), 2at_(1)), B(at_(2)^(2), 2at_(2)), C(at_(3)^(2), 2at_(3)), D(at_(4)^(2), 2at_(4)), then t_(1) + t_(2) + t_(3) + t_(4) is

Statement :1 If a parabola y ^(2) = 4ax intersects a circle in three co-normal points then the circle also passes through the vertr of the parabola. Because Statement : 2 If the parabola intersects circle in four points t _(1), t_(2), t_(3) and t_(4) then t _(1) + t_(2) + t_(3) +t_(4) =0 and for co-normal points t _(1), t_(2) , t_(3) we have t_(1)+t_(2) +t_(3)=0.

If the tangents at t_(1) and t_(2) to a parabola y^2=4ax are perpendicular then (t_(1)+t_(2))^(2)-(t_(1)-t_(2))^(2) =

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. If A (t(1)) " and " B(t(2)) are points on y^(2) = 4ax , then slope ...

    Text Solution

    |

  2. Points A,B ,C , D on y^(2) = 4ax have parameters t(1) , t(2), t(3), ...

    Text Solution

    |

  3. Points A,B,C,D, on y^(2) = 4ax have parameters t(1) , t(2), t(3) , ...

    Text Solution

    |

  4. If PQ is a focal chord of parabola y^(2) = 4ax whose vertex is A , t...

    Text Solution

    |

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

    Text Solution

    |

  6. If focal distance of point P on y^(2) = 4x is 6, then P is

    Text Solution

    |

  7. An equilateral triangle is inscribed in y^(2) = 8x so that one angul...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |