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Question

Point M moved along the circle (x4)2+(y8)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


A

(35,465)

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B

(3, 5)

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C

(6, 4)

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D

none of these

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Solution

The correct option is C

(6, 4)


Let P(x,y) is required point, A = (-2, 0) ,C = (4, 8)
We know slope of CP. slope of AP = -1
On verifying we see option (6, 4) satisfies.

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