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Tangents are drawn from the point P to the parabola `y^2=8x` such that slope of one tangent is twice the slope of the other. The locus of Pis

A

line

B

circle

C

parabola

D

ellipse .

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-THE PARABOLA -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. The locus of point from which the two tangents drawn to a parabola be ...

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  2. If the chord of contact of tangents from a point P to the parabola y^...

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  3. Tangents are drawn from the point P to the parabola y^2=8x such that ...

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  4. Two tangents are drawn from the point (-2, – 1) to the parabola y^2 =...

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  5. If y+3= m1 (x+2) and y+3= m2 (x+2) are two tangents to the parabola y...

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  6. The equations of common tangent to the parabola y^2 = 4ax and x^2 = 4b...

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  7. If the line x+y=1 touches the parabola y^2 - y+x=0, then the co-ordina...

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  8. The point of intersection of the tangents at the ends of the latus re...

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  9. The equation of tangents to the parabola y^2 = 4ax at the ends of latu...

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  10. Two tangents of the parabola y^2 = 8x, meet the tangent at its vertex ...

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  11. If the tangent at the point P (2,4) to the parabola y^2 = 8x meets the...

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  12. The locus of the point of intersection of tangents to the parabola y^2...

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  13. If y(1),y(2) are the ordinates of two points P and Q on the parabola ...

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  14. Ordinates of three points A,B,C on the parabola y^2 = 4ax are in G.P. ...

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  15. If the tangents at P and Q on a parabola meet in T, then SP, ST and SQ...

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  16. The tangent at P to a parabola meets the tangents at the vertex A in Q...

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  17. If b and c are the lengths of the segments of any focal chord of a par...

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  18. If b,c are the segments of a focal chord of the parabola y^2 = 4ax, t...

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  19. The latus rectum of a parabola whose focal chord PSQ is such that SP =...

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  20. If PSQ is focal chord of the parabola y^2 = 8x such that SP=6, then th...

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