Processing math: 100%
 
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Thanks in Advance :P

 Sep 27, 2018
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l =AP will be perpendicular to OA as AP is tangent to the circlethe slope of OA is mOA=7010=7The slope of AP is thus mAP=1mOA=17

 

The line with slope mAP passing through point A is given by(y7)=17(x1)y=x+507and this line intersects the x axis at0=x+507x=50

so P=(50,0)|OA|=50 as this is the radius of the circle|AP|=(501)2+(07)2=2450=352As OAP is a right triangle, the area is given byarea=12bh=12|AP||OA|=1250352=175

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 Sep 28, 2018

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