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  • If the equations of the two diameters of a circle are x-y=5 and 2x+y=4 and radius of the circle is 5 , find the equation of the Circle .

If the equations of the two diameters of a circle are x-y=5 and 2x+y=4 and radius of the circle is 5 , find the equation of the Circle .

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Solution: Intesection of the Lines

L1:x-y=5; L2:2x+y=4\ \Rightarrow C(x,y)=C(3,-2)

Hence The equation of the Circle is

S:(x-3)^2+(y+2)^2=5^2\ \Rightarrow S:x^2+y^2-6x+4y-12=0

Posted by

Deependra Verma

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