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If the polar of the circle x^(2)+y^(2)=9...

If the polar of the circle `x^(2)+y^(2)=9` is always touching the parabola `y^(2)=8x` then the locus of the pole is

A

`4y=3x^(2)`

B

`y^(2)=9x`

C

`2y^(2)=9x`

D

`2y^(2)=-9x`

Text Solution

Verified by Experts

The correct Answer is:
D
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MODERN PUBLICATION-PARABOLA -MULTIPLE CHOICE QUESTION (LEVEL II)
  1. The equation of the common tangent to equal parabolas y^(2)=4ax and x^...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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