document.write( "Question 35840This question is from textbook Algebra 2
\n" ); document.write( ": endpoints of major axis at (-11,5) and (7,5), endpoints of minor axis at (-2,9) and (-2,1) \n" ); document.write( "
Algebra.Com's Answer #21968 by venugopalramana(3286)\"\" \"About 
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endpoints of major axis at (-11,5) and (7,5), endpoints of minor axis at (-2,9) and (-2,1)
\n" ); document.write( "PLEASE COPY PROBLEM PROPERLY..WHAT DO OU WANT?WHAT IS THE QUESTION?
\n" ); document.write( "I ASSUME IT IS TO FIND THE EQN.OF AN ELLIPSE!..OK..
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\n" ); document.write( "SEE THE FOLLOWING AND TRY BY YOUR SELF
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\n" ); document.write( "Can you help me write an equation for an ellipse with
\n" ); document.write( "a major axis with endpoints of (0,8), and (0,-8) with
\n" ); document.write( "foci of (0,5) and (0,-5)?
\n" ); document.write( "1 solutions
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\n" ); document.write( "Answer 16810 by venugopalramana(1120) on 2006-03-13
\n" ); document.write( "11:19:12 (Show Source):
\n" ); document.write( "Can you help me write an equation for an ellipse with
\n" ); document.write( "a major axis with endpoints of (0,8), and (0,-8) with
\n" ); document.write( "foci of (0,5) and (0,-5)?
\n" ); document.write( "THIS SHOWS THAT X AXIS IS THE MAJOR AXIS
\n" ); document.write( "STANDARD EQN.OF ELLIPSE IS
\n" ); document.write( "(X-H)^2/A^2 +(Y-K)^2/B^2=1
\n" ); document.write( "CENTRE IS (H,K)..AS PER THE PROBLEM H=K=0 AS CENTRE OF
\n" ); document.write( "ELLIPSE IS AT (0,0)..SINCE major axis with endpoints
\n" ); document.write( "ARE (0,8), and (0,-8)
\n" ); document.write( "WHERE MAJOR AXIS =2A=8+8=16...SO A=8..SINCE major axis
\n" ); document.write( "with endpoints ARE (0,8), and (0,-8)
\n" ); document.write( "FOCI ARE GIVEN BY
\n" ); document.write( "AE,0 AND -AE,0...SO AE =5...SO E=5/A=5/8
\n" ); document.write( "BUT E=SQRT{(A^2-B^2)/A^2}=5/8...SQUARING
\n" ); document.write( "25/64=(A^2-B^2)/A^2=1-B^2/A^2
\n" ); document.write( "B^2/64=1-25/64=49/64
\n" ); document.write( "B^2=49
\n" ); document.write( "B=7
\n" ); document.write( "HENCE EQN. OF ELLIPSE IS
\n" ); document.write( "X^2/64 + Y^2/49 = 1
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