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Find the coordinates of the points on th...

Find the coordinates of the points on the parabola `y^(2)=2x` whose focal distance is `(5)/(2)`.

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The correct Answer is:
The required points are `(2,-2)` and `(2,2)`
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AAKASH SERIES-PARABOLA-SOLVED EXAMPLES
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  2. Find the equation of parabola whose focus is (-2,3) and the directrix ...

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  3. Find the coordinates of the points on the parabola y^(2)=2x whose foca...

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  4. If Q is the foot of the perpendicular from a point p on the parabola y...

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  5. Find the equation of the parabola whose focus is S (3,5) and vertex is...

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  6. If L and L' are the ends of the latus rectum of the parabola x^(2)=6y ...

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  7. Find the equation of the parabola whose axis is parallel to Y-axis and...

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  8. The points (-3,2) and (-3,1) are the end points of latusrectum of a pa...

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  9. If (a^(2) , a-2) be a point interior to the region of the parabola y^(...

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  10. Find the real values of a for which the point (-2a, a+ 1) lies in the ...

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  11. Two parabolas y^(2) = 4a(x- lambda(1) ) and x^(2) = 4a(y- lambda2) alw...

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  12. The cable of a unformely loaded suspension bridge hangs in the form of...

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  13. The line 2x-y +2 =0 touches the parabola y^(2) = 4px. Find P and also ...

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  14. Find the equation of the tangent to the parabola y^(2) = 8x and which ...

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  15. Find the equation of normal to the parabola y^(2) = 4x and whose slope...

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  16. Find the equation of the tangent and normal to the parabola x^(2)-4x-8...

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  17. Find the equation of tangent to the parabola y^(2)=8ax at (2a , 4a...

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  18. alpha and beta are the angles made by two tangents to the parabola y^(...

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  19. The normals from (P,0) are drawn to the parabola y^(2) = 8x, one of th...

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  20. Show that the locus of point of intersection of perpendicular tangents...

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