Q.

A circle touches the line 4x+3y=12 at D and positive x,y axes. Let DE be  diameter of circle and OE intersect the line at F, then [4DF] is equal to ([.] is GIF)  (Provided OE

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answer is 4.

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Detailed Solution

Equation of circle is x2+y2−2x−2y+1=0D is 95,85 taking (1,1) as and point E is 15,25 OE has equation y=2x⇒F is 65,125⇒DF=1
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A circle touches the line 4x+3y=12 at D and positive x,y axes. Let DE be  diameter of circle and OE intersect the line at F, then [4DF] is equal to ([.] is GIF)  (Provided OE