Tangents are drawn to the circle from a point 'P' lying on the X-axis

MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles

Problem

Tangents are drawn to the circle x2+y2=50x^2 + y^2 = 50 from a point 'P' lying on the X-axis. These tangents meet the Y-axis at points 'P_1' and 'P_2'. Possible coordinates of 'P' so that area of triangle PP_1P_2 is minimum, is (1) (10, 0) (2) (102,0)(10\sqrt{2}, 0) (3) (−102,0)(-10\sqrt{2}, 0) (4) (103,0)(10\sqrt{3}, 0)

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