SOLUTION: p(0,2) and q(4,0) are two points in a plane and 0 is the origin find the equation of the 1) circle on pq as diameter 2)diameter parallel to the tangent to the circle at q 3)SHO

Algebra ->  Circles -> SOLUTION: p(0,2) and q(4,0) are two points in a plane and 0 is the origin find the equation of the 1) circle on pq as diameter 2)diameter parallel to the tangent to the circle at q 3)SHO      Log On


   

Question 1194810: p(0,2) and q(4,0) are two points in a plane and 0 is the origin find the equation of the
1) circle on pq as diameter
2)diameter parallel to the tangent to the circle at q
3)SHOW THAT LINE 2y+x+1=0 is a tangent to the circle
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
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p(0,2) and q(4,0) are two points in a plane ,... Find the equation of the
(1) circle on pq as diameter.
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Center is the midpoint of p and q.
horizontal coordinate, %280%2B4%29%2F2=4%2F2=2%29%29%29%3B%0D%0Avertical+coordinate%2C+%7B%7B%7B%282%2B0%29%2F2=1;
Size of diameter is sqrt%28%280-4%29%5E2%2B%282-0%29%5E2%29=sqrt%2816%2B4%29=sqrt%2820%29=2sqrt%285%29
radius size is sqrt%285%29;
radius squared is 5;
Equation of this circle is highlight%28%28x-2%29%5E2%2B%28x-1%29%5E2=5%29

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