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Circle
Well, let's recall just what a circle is. A circle is all the points which are the similar distance, r - called the radius, from a point, ( h, k ) - called the center. In other terms, if ( x, y ) is any point that is on the circle then it has a distance of r from the center, ( h, k ) .
If we empolye the distance formula on these two points we would get,
Or, if we square both sides we get,
( x - h )2 + ( y - k )2 = r 2
This is the standard form of the equation of a circle with radius r and center ( h, k ) .
Any point on parabola, (k 2 ,k) Perpendicular distance formula: D=(k-k 2 -1)/2 1/2 Differentiating and putting =0 1-2k=0 k=1/2 Therefore the point is (1/4, 1/2) D=3/(32 1/2
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