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If the chord of contact of tangents from a point P to the parabola y 2 = 4ax touches the parabola x 2 = 4by, the locus of P is (a) circle (b) parabola (c) ellipse (d) hyperbola



If the chord of contact of tangents from a point P to the parabola y2 = 4ax touches the parabola   x2 = 4by, the locus of P is


            (a)       circle


            (b)       parabola


            (c)        ellipse


            (d)       hyperbola


Grade:10

1 Answers

Amit Saxena
35 Points
8 years ago

(D)

 

  yy1 – 2a (x + x1)

 

                        x2 = 4by

 

                        x2 = 4b [(2a/y1)(x + x1)]

 

            Þ        y1x2 – 8abc – 8abx1 = 0

 

                        D = 0 gives xy = –2ab

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