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A circle C whose radius is 1 unit touche...

A circle C whose radius is 1 unit touches the x-axis at point A. The center Q of C lies in the first quadrant. The tangent from the origin O to the circle touches it at T and a point P lies on its such that `Delta OAP` is a right - angles triangle at A and its perimeter is 8 units.
The length of PQ is

A

`3y=4x`

B

`x-sqrt(2)y=0`

C

`y-sqrt(3)x=0`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
1
`AP = AQ+PQ= 1+5//3=8//3`
So, slope of OP is `4//3`
Hence, equation of OP is `4x-3y=0`.
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