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The locus of the point of intersection of two tangents to the parabola `y^(2)=4ax` which make the angles `theta_(1)` and `theta_(2)` with the axis so that cot `theta_(1)+cot theta_(2)` = k is

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AAKASH SERIES-PARABOLA-SOLVED EXAMPLES
  1. Find the equation of the tangent and normal to the parabola x^(2)-4x-8...

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  2. Find the equations of the langents to lhe parabola y^(2) = 9x and whic...

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  3. The locus of the point of intersection of two tangents to the parabola...

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  4. The normals from (P, 0) are drawn to the para bolo y^(2) = 8x-, one of...

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

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  6. show that the common tangent to the parabola y^(2)=4ax "and" x^(2)=4b...

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  7. Show that the locus of the foot of the perpendicular from the focus to...

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  8. Find the condition for the line y=mx+c to be a tangent to the parabola...

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  9. If a chord of lhe parabola y^(2) = 4ax touches the parabola y^(2) = 4b...

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  10. Prove that two parabolas y(2)=4ax "and" x^(2)=4by intersect (other tha...

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  11. Prove that the point on the parabola y^(2) = 4ax (a gt0) nearest to th...

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  12. Prove that the locus of point of intersection of two perpendicular nor...

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  13. If ((1)/(2),2) is one extermity of a focalchord of the parabola y^(2)=...

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  14. Two parabolas have the same vertex and equal lengh of latus rectum su...

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  15. Prove that the portion or the tangent intercepted,between the point of...

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  16. Prove that the circle on a focal radius of a parabola, as diameter tou...

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  17. Prove that the orthocentre of the triangle formed by any three tangent...

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  18. The conic represented by 2x^(2) -12xy +23y^(2) -4x -28y -48 =0 is

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  19. Find the conic represented by the equation sqrt( ax) + sqrt( by) = 1?

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  20. If the equation x^(2) - y^(2) - 2x+2y+lambda =0 represents a degenerat...

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