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If t is a parameter , then locus of a po...

If t is a parameter , then locus of a point
` P (a sin^(2) t, 2a sin t )` is

A

a line through the origin

B

a circle of radius a

C

a parabola with focus (a,0)

D

a parabola with focus (0, a)

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The correct Answer is:
C
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. If theta is the inclination of a focal chord of y^(2) = 4ax to its ...

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  2. If L and L' are ends of latus-rectum of parabola y^(2) = 4ax whose ...

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  3. If t is a parameter , then locus of a point P (a sin^(2) t, 2a sin...

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  4. Equation of parabola ,having (4,-8) and (4,8) as ends of its latus-rec...

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  5. Tangent to y^(2) = 4ax at its vertex is

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  6. Foot of the directrix of the parabola y^(2) = 4ax is the point

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  7. If A (x(1) , y(1)) " and B" (x(2), y(2)) are point on y^(2) = 4ax , ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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