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Two parabolas have the same vertex and e...

Two parabolas have the same vertex and equal lengh of latus rectum such that their axes are at right angle. Prove that the common tangents touch each at the end of latus rectum.

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AAKASH SERIES-PARABOLA-SOLVED EXAMPLES
  1. Prove that the locus of point of intersection of two perpendicular nor...

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

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

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

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

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

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

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

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

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  10. If the equation x^(2) + y^(2) - 2x -2y+ c=0 represents an empty set th...

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  11. If the equation of conic 2x^(2) + xy+3y^(2) - 3x+ 5y + lambda =0 repre...

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  12. For what value of lambda the equation of conic 2xy+4x-6y+ lambda=0 rep...

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  13. Find the centre of the conic 14x^(2) - 4xy + 11y^(2) - 44x - 58y +71=0

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  14. Find the coordinates of the vertex and focus and the equations of the ...

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  15. Find the coordinates of the vertex and focus and the equations of the ...

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  16. Find the coordinates of the vertex and focus and the equations of the ...

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  17. Find the vertex, focus, equation of directrix and axis, of parabolas ...

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  18. Find the equation of the parabola whose focus is S (1,-7) and vertex i...

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  19. Find the equation of parabola whose focus is (-2,3) and the directrix ...

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  20. Find the coordinates of the points on the parabola y^(2)=2x whose foca...

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