document.write( "Question 1206104: Write the equation of an ellipse with foci at (-6,-3) (0,-1) and a major axis of length 1. \n" ); document.write( "

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\n" ); document.write( "Write the equation of an ellipse with foci at (-6,-3) (0,-1) and a major axis of length 1.
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document.write( "Let A be the point A = (-6,-3);  let B be the point B = (0,-1).\r\n" );
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document.write( "The incremement of x-coordinate from A to B is 0-(-6) = 6 units.\r\n" );
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document.write( "The incremement of y-coordinate from A to B is -1-(-3) = 2 units.\r\n" );
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document.write( "The distance from A to B is  =  = ,\r\n" );
document.write( "which is longer than 6 units.\r\n" );
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document.write( "    Thus the distance between the given foci is greater than 6 units.\r\n" );
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document.write( "Then the major axis must be even LONGER than this value of 6 units.\r\n" );
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document.write( "But the problem says that the major axis is 1 unit.\r\n" );
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document.write( "This contradiction shows and proves that such ellipse does not exist.\r\n" );
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document.write( "Therefore, its equation can not be written.\r\n" );
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