Tangents are drawn to the circle $x^{2} + y^{2} = a^{2}$ from two points on the x-axis , equidistant from the point (k,0). Show that the locus of their point of intersection is $k y^{2} = a^{2} (k - x)$ .

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Tangents are drawn to the circle

x^{2} + y^{2} = a^{2}

from two points on the x-axis , equidistant from the point (k,0). Show that the locus of their point of intersection is

k y^{2} = a^{2} (k - x)

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Tangents are drawn to the circle

x^{2} + y^{2} = a^{2}

from two points on the x-axis , equidistant from the point (k,0). Show that the locus of their point of intersection is

k y^{2} = a^{2} (k - x)

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