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Let (x(1),y(1)),(x(2),y(2)),(x(3),y(3)) ...

Let `(x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3))` be three points on the parabola `y^(2)=4ax` if the normals meet in a point then

A

`x_(1)+x_(2)+x_(3)=0`

B

`y_(1)+y_(2)+y_(3)=0`

C

`y_(1)+y_(2)+y_(3)=2a`

D

none of these

Text Solution

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The correct Answer is:
B
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MODERN PUBLICATION-PARABOLA -MULTIPLE CHOICE QUESTION (LEVEL II)
  1. The normal at a point on y^(2)=4x passes through (5,0) there are thre...

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  2. The arithmetic mean of the ordinates of the feet of the normals from ...

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  3. Let (x(1),y(1)),(x(2),y(2)),(x(3),y(3)) be three points on the parabo...

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  4. We are given with two ends of the latus rectum of a parabola then...

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  5. A double ordinate of the parabola y^(2)=8ax of length 16a the angle s...

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  6. The equation of the common tangent to equal parabolas y^(2)=4ax and x^...

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  7. The circle x^(2)+y^(2)+2kx=0 k in R touches the parabola y^(2)=4x ext...

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  8. If the polar of the circle x^(2)+y^(2)=9 is always touching the para...

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  9. Angle substended by the latus rectum at the origin is

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  10. A ray of light moving parallel to x axis gets reflected from a parab...

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  11. Range of values of k for which the point (k-1) is exteriro to both ...

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  12. If PQ is a focal chord of the parbola y^(2)=4ax with focus at s th...

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  13. The point (a,2a) is an interior point of the region bounded by the ...

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  14. Locus of the middle points of parallel chords of a parabola x^(2)=4a...

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  15. The tangent to a parabola at the vertex A and any point P meet at Q ...

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  16. The tangents at three points A,B,C on the parabola y^(2)=4x taken in ...

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  17. AB is a chord of a parabola y^(2)=4ax with the end A at the vertex ...

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  18. The point of intersection of the tangents to the parabla y^(2)=4x at ...

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  19. If the tangents at (x(1),y(1)) and (x(2),y(2)) to the parabola y^(2)=4...

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  20. If b and c are the length of the segments of any focal chord of a para...

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