Question

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

• A. $(-\frac{3}{5},\frac{46}{5})$
• B. (3, 5)
• C. (6, 4)
• D. none of these

Answer 1

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.