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Find the locus of the midpoints of the portion of the normal to the parabola `y^(2)=4ax` intercepted between the curve and the axis.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The locus of the mid-point of the chord of contact of tangents drawn f...

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

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  3. Find the locus of the midpoints of the portion of the normal to the pa...

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  4. An equilateral triangle is inscribed in the parabola y^(2)=4ax, such...

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  5. M is the foot of the perpendicular from a point P on a parabola y^2=4a...

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  6. Find the locus of the middle points of chords of a parabola y^(2)=4ax ...

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  7. A quadrilateral is inscribed in a parabola y^2=4a x and three of its s...

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  8. A right-angled triangle A B C is inscribed in parabola y^2=4x , where ...

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  9. Let there be two parabolas y^2=4a x and y^2=-4b x (where a!=ba n d a ,...

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  10. The equation of aparabola is y^2=4xdotP(1,3) and Q(1,1) are two poin...

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  11. A P is perpendicular to P B , where A is the vertex of the parabola y^...

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  12. Find the value of p such that vertex of y=x^(2)+2px+13 is 4 units abov...

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  13. The point (a,2a) is interior region bounded by the parabola y^(2)=16x ...

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  14. Find the point where the line x+y=6 is a normal to the parabola y^2=8x...

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  15. Find the equation of the tangent to the parabola 9x^(2)+12x+18y-14=0 w...

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  16. Find the angle between the tangents drawn to y^(2)=4x, where it is int...

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  17. How many distinct real tangents that can be drawn from (0,-2) to th...

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  18. Find the angle at which the parabola y^(2)=4xandx^(2)=32y intersect.

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  19. The tangents at the points P and Q on the parabola y^(2)=4ax meet at T...

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  20. The tangents to the parabola y^2=4x at the points (1, 2) and (4,4) mee...

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