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Circle

If point M is...

Question

If point M is moved on the circle ${(x - 4)}^{2} + {(y - 8)}^{2} = 20$ , then it broke away from it and moving along a tangent to the circle cut the X-axis at point (-2,0) the coordinates of the point on the circle at which the moving point broke away is

A

(\frac{42}{5}, \frac{36}{5})

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B

(\frac{- 2}{5}, \frac{44}{5})

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C

(6, 4)

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D

(2, 4)

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Solution

The correct options are
B $(\frac{- 2}{5}, \frac{44}{5})$
C $(6, 4)$

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Point M moved along the circle $(x - 4)^{2} + (y - 8)^{2} = 20$ . Then it broke away from it and moving along a tangent to the circle, cuts the x-axis at the point (–2, 0). The coordinates of the point on the circle at which the moving point broke away can be

Point M moved along the circle $(x - 4)^{2} + (y - 8)^{2} = 20$ . Then it broke away from it and moving along a tangent to the circle, cuts the x-axis at the point (–2, 0). The coordinates of the point on the circle at which the moving point broke away can be

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