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From a point `(sintheta,costheta)`, if three normals can be drawn to the parabola `y^(2)=4ax` then find the value of a .

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the normal chord of the parabola y^(2)=4x makes an angle 45^(@) wit...

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  2. If the normals at points t1 and t2 meet on the parabola, then (a) t1...

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

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

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

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

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

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

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

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  10. A parabola of latus rectum l touches a fixed equal parabola. The axes ...

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

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

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  13. Two lines are drawn at right angles, one being a tangent to y^2=4a x a...

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

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  15. Find the range of parameter a for which a unique circle will pass thro...

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  16. Find the radius of the largest circle, which passes through the focus ...

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  17. A tangent is drawn to the parabola y^2=4a x at P such that it cuts the...

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  18. Tangents are drawn to the parabola at three distinct points. Prove tha...

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  19. Statement 1: The circumcircle of a triangle formed by the lines x=0...

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  20. Statement 1: The point of intersection of the tangents at three dis...

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