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The tangent and the normal lines at the ...

The tangent and the normal lines at the point `1(sqrt3, 1)` to the circle `x^(2)+y^(2) = 4` and the X-axis form a triangle. The area of this triangle ( in square units ) is

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Slope of OP ` = (1)/(sqrt3 )`, Slope of PQ ` = - sqrt 3 `
` y - 1 = -sqrt 3 ( x - sqrt 3 ) = - sqrt 3 x + 3 `
` rArr sqrt 3 x + y = 4 and Q ((4)/(sqrt3), 0) Delta OPQ = (2)/(sqrt3)`
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