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Suppose two perpendicular tangents can b...

Suppose two perpendicular tangents can be drawn from the origin to the circle `x^(2)+y^(2)-6x-2py+17=0`, for some real p. then `|p|`=

A

0

B

3

C

5

D

17

Text Solution

Verified by Experts

The correct Answer is:
C
`(x-3)^(2)+(y-p)^(2)=9-17+p^(2)`
Director circle is
`(x-3)^(2)+(y-p)^(2)=2(p^(2)-8)`
Presses through (0, 0)
`9+p^(2)=2p^(2)-16`
`p^(2)=25rArrp=pm5rArr|p|=5`
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