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A line 2x + y = 1 intersect co-ordinate ...

A line `2x + y = 1` intersect co-ordinate axis at points `A` and `B`. A circle is drawn passing through origin and point `A` & `B`. If perpendicular from point `A` and `B` are drawn on tangent to the circle at origin then sum of perpendicular distance is (A) `5/sqrt2` (B) `sqrt5/2` (C) `sqrt5/4` (D) `5/2`

A

`(sqrt(5))/(4)`

B

`(sqrt(5))/(2)`

C

`2sqrt(5)`

D

`24sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:
B
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