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The locus of the mid point of the line s...

The locus of the mid point of the line segment joining the focus to a moving point on the parbola `y^(2)=4ax` is another parabola with directix

A

`x=-a`

B

`x=-(a)/(2)`

C

x=0

D

`x=-(a)/(2)`

Text Solution

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The correct Answer is:
C
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MODERN PUBLICATION-PARABOLA -MULTIPLE CHOICE QUESTION (LEVEL II)
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  3. Range of values of k for which the point (k-1) is exteriro to both ...

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

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

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

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

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

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

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

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

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

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  13. If the focus of a parabola divides a focal chord of the parabola in s...

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  14. Equation of the common tangent touching the circle (x-3)^(2)+y^(2)=9 ...

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  15. The locus of the mid point of the line segment joining the focus to a...

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  16. A tangent is drawn to the parabola y=x^(2)+6 at the point (1,7) whi...

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  17. The locus of the vertices of the family of parabolas y=(a^(3)x^(2))/(3...

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  18. The axis of a parabola is along the line y=x and the distance of its ...

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  19. Three normals are dran to a parabola y^(2)=4ax from a given point (x...

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  20. Consider the two curves C(1):y^(2)=4x,C(2):x^(2)+y^(2)-6x+1=0 then

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