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Find the locus of the middle points of chords of a parabola `y^(2)=4ax` which subtend right angle at the vertex.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. An equilateral triangle is inscribed in the parabola y^(2)=4ax, such...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. From an external point P , a pair of tangents is drawn to the parabola...

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  19. If the line x+y=a touches the parabola y=x-x^2, then find the value of...

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  20. Find the slopes of the tangents to the parabola y^(2)=8x which are nor...

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