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Let C be the set of curves having the pr...

Let C be the set of curves having the property that the point of intersection of tangent with y-axis is equidistant from the point of tangency and origin (0,0)
If common tangents of `C_(1) and C_(2)` form an equilateral triangle, where C_(1),C_(2) in C and C_(1):` Curve passes through f(2,0), then `C_(2)` may passes through

A

`(-1//3,1//3)`

B

`(-1//3,1)`

C

`(-2//3,4)`

D

`(-2//3,2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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