1.

For each positve real number k, let C _(k) denotes the circle with centre at origin and radius k units. On a circle C _(k) particle alpha moves k units in the counter-clockwise direction. After completing its motion on C_(k), the particle moves onto the circle C _(k+1) in same well defined manner, where r gt 0. The motion of particle continues in this manner. Let the particle starts from the point A (2,0) and moves pi/2 units on circle C_(2) in the counter clockwise direction, then moves on circle C_(3) along tangential peth, let this straight the (tangential path traced by particle) intersect the circle C_(3) at points A and B. then tangents at A and B intersect at

Answer»

`(SQRT2, sqrt2)
`(9,9)`
`((9)/(2SQRT2), (9)/(2sqrt2))`
`(9 sqrt2, 9 sqrt2)`

ANSWER :C


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