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The locus of the point of intersection of tangents drawn at the extremities of a normal chord to the parabola `y^2=4ax` is the curve

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`(a^(6))/(x^(2)) + (b^(6))/(y^(2)) = (a^(2) -b^(2))^(2)`
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AAKASH INSTITUTE-CONIC SECTIONS-SECTION -I ( Subjective Type Questions )
  1. A circle passes through the point (3, 4) and cuts the circle x^2+y^2=c...

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  2. Two circles are inscribed are circumscribed about a square ABCD, lengt...

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  3. The square of the length of the tangent drawn from any point on the ci...

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  4. l and m are the lengths of the tangents from the origin and the point ...

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  5. The least distance between two points P and Q on the circle x^(2) + y^...

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  6. The sum of the square of length of the chord intercepted by the line x...

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  7. The area of the region bounded by the curves {(x,y) : x^(2) + y^(2) le...

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  8. The chord of contact of tangents from 3 points A, B, C to the circle x...

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  9. Let x, y be real variable satisfying x^(2) + y^(2) + 8x - 10y - 59 = 0...

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  10. If the tangent at P to the parabola y^(2) =7x is parallel to 6y -x + 1...

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  11. The equation of the common tangent to the parabolas y^2= 4ax and x^2= ...

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  12. The mirror image of the parabola y^2= 4x in the tangent to the parabol...

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  13. Locus of the point of intersection of the tangents to (x^(2))/((73)^(2...

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  14. Find the equation of the circle passing through the points of intersec...

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  15. Find the equation of the parabola which is symmetric about the y-axis,...

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  16. The point on the curve 2x^(2) + 3y^(2) = 6 which is nearest to the lin...

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  17. The line passing through the extremity A of the major axis and extremi...

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  18. The locus of the point of intersection of tangents drawn at the extrem...

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  19. Let PN be the ordinate of a point P on the hyperbola x^2/(97)^2-y^2...

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  20. Let C be a curve which is the locus of the point of intersection of li...

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