A) 0
B) 3
C) 5
D) 17
Correct Answer: C
Solution :
[c]We have, |
\[{{x}^{2}}+{{y}^{2}}-6x-2py+17=0\] |
\[{{(x-3)}^{2}}+{{(y-p)}^{2}}=9-17+{{p}^{2}}\] |
Director circle of the given circle is |
\[{{(x-3)}^{2}}+{{(y-p)}^{2}}=2\,({{p}^{2}}-8)\] |
It is passes through (0, 0). |
\[\therefore \]\[9+{{p}^{2}}=2{{p}^{2}}-16\] |
\[\Rightarrow \]\[{{p}^{2}}=25\] |
\[\Rightarrow \]\[\left| p \right|=5\] |
You need to login to perform this action.
You will be redirected in
3 sec