The locus of the mid-point of the chord of contact of tangents drawn from points…

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The locus of the mid-point of the chord of contact of tangents drawn from points lying on the straight line 4x−5y=204x - 5y = 20 to the circle x2+y2=9x^2 + y^2 = 9 is (1) 20(x2+y2)−36x+45y=020(x^2 + y^2) - 36x + 45y = 0 (2) 20(x2+y2)+36x−45y=020(x^2 + y^2) + 36x - 45y = 0 (3) 36(x2+y2)−20x+45y=036(x^2 + y^2) - 20x + 45y = 0 (4) 36(x2+y2)+20x−45y=036(x^2 + y^2) + 20x - 45y = 0

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