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A quadrilateral is inscribed in a parabo...

A quadrilateral is inscribed in a parabola `y^2=4a x` and three of its sides pass through fixed points on the axis. Show that the fourth side also passes through a fixed point on the axis of the parabola.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. Find the locus of the middle points of the chords of the parabola y^2=...

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

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

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

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

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  8. Find the value of P such that the vertex of y=x^2+2px+13 is 4 units ab...

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

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

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

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  12. Find the angle between the tangents drawn to y^2=4x , where it is inte...

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

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  14. Find the angle at which the parabolas y^2=4x and x^2=32 y intersect.

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

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

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

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  19. Find the slopes of the tangents to the parabola y^2=8x which are norma...

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  20. Find the angle between the tangents drawn from (1, 3) to the parabola ...

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