SOLUTION: Find the equations of the two circles with centres on the x -axis and radius 4 which both touch the circle x^2 + y^2 - 2x - 6y + 9 =0 externally. Please help me sir
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Question 990646: Find the equations of the two circles with centres on the x -axis and radius 4 which both touch the circle x^2 + y^2 - 2x - 6y + 9 =0 externally. Please help me sir
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.
= .
So, your equation is
= 1.
It is the equation of the circle of the radius 1 with the center at the point (x,y) = (1,3).
Is it clear to you?
Next. The centers of the two new circles should be at he distance of 1 + 4 = 5 units from this point.
Is it clear?
So, you need to find the centers of these two circles in x-axis, that are at the distance of 5 units from the point (1,3).
Now make a sketch and complete the solution of the problem yourself.
Good luck.
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