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The locus of the middle point of the cho...

The locus of the middle point of the chord of contact of tangents drawn from points lying on the straight line 4x - 5y = 20 to the circle `x^2 + y^2 = 9` is

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`4x-5y=20`
`4x_1-5y_1=20`
`4x_1-20=5y_1`
`y_1=4/5x_1-4`
`x x_1+yy_1=9`
`hx+ky=h^2+k^2`
`x_1/h+y_1/k=9/h^2`
`x/h=(4/5x_1-4)/(k)=9/(h^2+k^2)`
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