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Find the equation of parabola (i) havi...

Find the equation of parabola
(i) having its vertex at A(1,0) and focus at S(3,0)
(ii) having its focus at S(2,5) and one of the extremities of latus rectum is A (4,5)

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the equation of a parabola having its focus at S(2,0) and one ext...

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  2. Find the equation of parabola having focus at (0,-3) its directrix ...

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  3. Find the equation of parabola (i) having its vertex at A(1,0) and fo...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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