Correct option is b. 2
\(P(-7, 2)\)
\(x^2 + y^2 - 10x - 14y - 151 = 0\)
\(C(-g, -y) = C(5, 7)\)
\(C = -151\)
\(r = \sqrt{5^2 + 7^2} - (-51) = 15\)
\(P(-7, 2), C(5, 7)\)
\(CP = \sqrt{(5 +7)^2 + (7 -2)^2} =13\)
The shortest distance
\(r - CP\)
\(= 15 - 13 = 2\)