document.write( "Question 550205: Question 1
\n" ); document.write( "The foci are at (+-2,0)and the ellipse passes through (2,-3)\r
\n" ); document.write( "\n" ); document.write( "Question 2
\n" ); document.write( "The ellipse passes through points (6,4) and (-8,3)\r
\n" ); document.write( "\n" ); document.write( "Question 3
\n" ); document.write( "Find the equation of the circle which has its centre at point (2,3) and passes through the origin\r
\n" ); document.write( "\n" ); document.write( "Question 4
\n" ); document.write( "The centre of a circle lies on line y=2x-2, and this circle cuts the x-axis at points (1,0)and (3,0). Find the equation of the circle. \r
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\n" ); document.write( "\n" ); document.write( "For question 3
\n" ); document.write( "This is what I've done:
\n" ); document.write( "(h,k)=(2,3)
\n" ); document.write( "(x-2)^2+(y-3)^2=r^2
\n" ); document.write( "(0-2)^2+(0-3)^2=r^2
\n" ); document.write( "4+9+r^2
\n" ); document.write( "r^2=13
\n" ); document.write( "R=√13
\n" ); document.write( "Please provide for me the full working as it is easy for me to understand, Thanks
\n" ); document.write( "

Algebra.Com's Answer #358547 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Question 1
\n" ); document.write( "The foci are at (+-2,0)and the ellipse passes through (2,-3)\r
\n" ); document.write( "\n" ); document.write( "Question 2
\n" ); document.write( "The ellipse passes through points (6,4) and (-8,3)
\n" ); document.write( "----------
\n" ); document.write( "An infinite # of ellipses can pass thru 2 points.
\n" ); document.write( "----------------
\n" ); document.write( "Question 3
\n" ); document.write( "Find the equation of the circle which has its centre at point (2,3) and passes through the origin
\n" ); document.write( "----------
\n" ); document.write( "For question 3
\n" ); document.write( "This is what I've done:
\n" ); document.write( "(h,k)=(2,3)
\n" ); document.write( "(x-2)^2+(y-3)^2=r^2
\n" ); document.write( "(0-2)^2+(0-3)^2=r^2
\n" ); document.write( "4+9+r^2
\n" ); document.write( "r^2=13
\n" ); document.write( "--> \"%28x-2%29%5E2%2B%28y-3%29%5E2+=+13\" Which is correct.
\n" ); document.write( "-------------------
\n" ); document.write( "Question 4
\n" ); document.write( "The centre of a circle lies on line y=2x-2, and this circle cuts the x-axis at points (1,0)and (3,0). Find the equation of the circle.
\n" ); document.write( "----
\n" ); document.write( "The center has to be on a line bisecting the 2 points, which is x = 2.
\n" ); document.write( "Find the solution of
\n" ); document.write( "x = 2
\n" ); document.write( "y = 2x - 2
\n" ); document.write( "-----
\n" ); document.write( "--> (2,2)
\n" ); document.write( "---
\n" ); document.write( "Find r^2
\n" ); document.write( "r^2 = diffy^2 + diffx^2 = 1 + 4
\n" ); document.write( "--> \"%28x-2%29%5E2+%2B+%28y-2%29%5E2+=+5\"
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