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Find the coordinates of points on the pa...

Find the coordinates of points on the parabola `y^2=8x` whose focal distance is `4.`

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the equation of parabola (i) having its vertex at A(1,0) and fo...

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  2. A beam is supported at its ends by supports which are 12 metres apa...

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  3. Find the coordinates of points on the parabola y^2=8x whose focal dist...

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  4. If a parabolic reflector is 20 cm in diameter and 5 cm deep, find t...

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  5. An arch is in the from of a parabola with its axis vertical. The arch ...

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  6. If the vertex of a parabola is the point (-3,0) and the directrix is t...

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  7. The chord A B of the parabola y^2=4a x cuts the axis of the parabola a...

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  8. Prove that the chord ysqrt(2)x+4asqrt(2)=0 is a normal chord of the pa...

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  9. Find the point on the curve y^2=a x the tangent at which makes an angl...

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  10. Find the equation of the common tangents to y^2 = 8ax and x^2 + y^2 = ...

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  11. Find the points of contact Q and R of tangents from the point P (2,3) ...

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  12. Two straight lines (y-b) =m(1)(x+a)and(y-b)=m(2)(x+a) are the tangents...

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  13. A pair of tangents are drawn to the parabola y^2=4a x which are equall...

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  14. Tangents are drawn from the point (-1,2) on the parabola y^(2)=4x. Fin...

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  15. Tangents are drawn to the parabola (x-3)^2+(y+4)^2=((3x-4y-6)^2)/(25) ...

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  16. Find the locus of point of intersection of tangents to the parabola y^...

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  17. Mutually perpendicular tangents T A and T B are drawn to y^2=4a x . T...

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

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

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

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