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A square has one vertex at the vertex of the parabola `y^2=4a x` and the diagonal through the vertex lies along the axis of the parabola. If the ends of the other diagonal lie on the parabola, the coordinates of the vertices of the square are (a)`(4a ,4a)` (b)`(4a ,-4a)` (c)`(0,0)` (d)`(8a ,0)`

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Mutually perpendicular tangents T A and T B are drawn to y^2=4a x . T...

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  2. Tangents PA and PB are drawn from point P on the directrix to the para...

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  3. A square has one vertex at the vertex of the parabola y^2=4a x and the...

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  4. P ,Q , and R are the feet of the normals drawn to a parabola (y-3)^2=8...

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  5. The equation of the line that passes through (10 ,-1) and is perpendic...

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  6. The axis of parabola is along the line y=x and the distance of its ver...

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  7. The locus of the circumcenter of a variable triangle having sides the ...

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  8. If the normals at P(t(1))andQ(t(2)) on the parabola meet on the same p...

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  9. From a point (sintheta,costheta), if three normals can be drawn to the...

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  10. If the normals to the parabola y^2=4a x at the ends of the latus rectu...

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  11. Tangent and normal drawn to a parabola at A(a t^2,2a t),t!=0 meet the ...

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  12. PQ is a normal chord of the parabola y^2 =4ax at P, A being t...

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  13. If two normals to a parabola y^2 = 4ax intersect at right angles then ...

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  14. If the normals to the parabola y^2=4a x at P meets the curve again at ...

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  15. If a leaf of a book is folded so that one corner moves along an opp...

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  16. A parabola of latus-rectum 1 touches a fixed equal parabola. The axe...

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  17. A movable parabola touches x-axis and y-axis at (0,1) and (1,0). Then ...

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  18. Let N be the foot of perpendicular to the x-axis from point P on the p...

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  19. Two lines are drawn at right angles, one being a tangent to y^(2)=4ax ...

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  20. The area of the trapezium whose vertices lie on the parabola y^2 = 4x ...

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