Question

find the power of the point (1,2) with respect to X²+y²+6x+8y-96=O is
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Answer 1

Answer:

X²+y²+6x+8y-96=O

or, (x²-6x+9)+(y²+8y+16) = 96+9+16 =121

or, (x-3)²+(y+4)²=11²

centre of the circle is (3,-4)

radius=11

distance between (1,2) and (3,-4) is √40 <11

so (1,2) is in the circle