The line L is a tangent to the circle x^2 + y^2 = 50 at point A. A is the point (1,7)

The line crosses the X-axis at point P
Work out the are of triangle OAP

175

Explanation:

2x+2yy1=0

y1=-x/y = -1/7

y-7=-1/7(x-1)

y=-1/7x+50/7

Line cuts x axis at (50,0)

The triangle OAP has vertices equal to (0,0) (1,7) and (50,0)  

The triangle has base as OP = 50 units  

Height = distance of A from x axis = 7

area= 175

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