Q 1369067815.     If the distances from the origin of the centres of thre circles `x^2 + y ^2 + 2lamda_i x- c^2 = 0` (`i = 1, 2, 3`) are in GP, the the lengths of the tangents drawn to them from any point on the circle `x ^2 + y^ 2 = c^2` are in

A

`AP`

B

`GP`

C

`HP`

D

None of these

HINT

Centres of circles are `C_1 (- lamda_1, 0) ;C_2 ( -lamda_2, 0)` and ` C_3 (-lamda_3, 0)` If `O (0, 0)` then `OC_1 = lamda_1, OC_2 = lamda_2, OC_3 = lamda_3`

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