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Points A,B ,C , D on y^(2) = 4ax have p...

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

A

` t_(1) + t_(3) = t_(2) + t_(4)`

B

`t_(1) + t_(2) = t_(3) + t_(4)`

C

`t_(1) - t_(3) = t_(2) - t_(4)`

D

`t_(1) + t_(4) = t_(2) - t_(3)`

Text Solution

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The correct Answer is:
B
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. If A (x(1) , y(1)) " and B" (x(2), y(2)) are point on y^(2) = 4ax , ...

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  2. If A (t(1)) " and " B(t(2)) are points on y^(2) = 4ax , then slope ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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