Point M moved on the circle

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

Problem

Point M moved on the circle (x−4)2+(y−8)2=20(x - 4)^2 + (y - 8)^2 = 20 . Then it broke away from it and moving along a tangent to the circle cut the X-axis at point (−2,0)(-2, 0) . The coordinates of the point on the circle at which the moving point broke away is (1) (425,365)\left(\frac{42}{5}, \frac{36}{5}\right) (2) (−25,445)\left(-\frac{2}{5}, \frac{44}{5}\right) (3) (6,4)(6, 4) (4) (2,4)(2, 4)

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