Mathematics

Mathematics

Problem

Consider the circle x2+y2=25x^{2}+y^{2}=25. The point T(4,−3)T(4,-3) lies on the circle. The tangent to the circle at TT meets the xx-axis at point PP. Determine the coordinates of PP. a) (8, 0)\left(8,\,0\right) b) (253, 0)\left(\dfrac{25}{3},\,0\right) c) (254, 0)\left(\dfrac{25}{4},\,0\right) d) (0,0)(0,0)

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