SOLUTION: I really need help with this, would appreciate any help. Show that the point E(-1 , 2) lies on the circumference of the circle with equation x2 + y2 � 2x � 3y � 1 = 0 and find

Question 986754: I really need help with this, would appreciate any help.
Show that the point E(-1 , 2) lies on the circumference of the circle with equation
x2 + y2 � 2x � 3y � 1 = 0 and find the coordinates of the point F,
given that EF is a diameter.

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

True, so point E satisfies the equation and therefore lies on the circle.
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Complete the square in x and y to find the center of the circle,

So the center of the circle is (,)
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The x distance from E to the center is the same as the x distance from the center to F.

Similarly for y,

So point F is (,)
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.

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