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SEE THE FOLLOWING AND TRY.IF STILL IN DIFFICULTY PLEASE COME BACK
\n" ); document.write( "find an
\n" ); document.write( "equation of the ellipse having the given points as
\n" ); document.write( "foci and the given number as sum of focal radii.
\n" ); document.write( "(-9,0);(9,0);30
\n" ); document.write( "one of these is it: x^2/15 + y^2/12 =1 or x^2/225 +
\n" ); document.write( "y^2/144 =1
\n" ); document.write( "or x^2/15 - y^2/12 = 1
\n" ); document.write( "1 solutions
\n" ); document.write( "Answer 22069 by venugopalramana(1898) About Me on
\n" ); document.write( "2006-05-03 09:12:20 (Show Source):
\n" ); document.write( "find an equation of the elipse having the given points
\n" ); document.write( "as foci and the given number as sum of focal radii.
\n" ); document.write( "(-9,0);(9,0);30
\n" ); document.write( "PLEASE NOTE THAT SUM OF FOCAL RADII=LENGTH OF MAJOR
\n" ); document.write( "AXIS =2A =30....HENCE A=15
\n" ); document.write( "SEE THE FOLLOWING AND TRY.IF STILL IN DIFFICULTY
\n" ); document.write( "PLEASE COME BACK
\n" ); document.write( "---------------------------------------------------------------------------
\n" ); document.write( "Linear_Algebra/30362: Question: Find the equation of
\n" ); document.write( "the ellipse whose center is (5,-3) that has a vertex
\n" ); document.write( "at 13,-3) and a minor axis of lenght 10.
\n" ); document.write( "POssible Answers:
\n" ); document.write( "(A) (x-5)^2/64 + (y+3)^2/25 = 1
\n" ); document.write( "(B) (x+5)^2/64 + (y-3)^2/25 = 1
\n" ); document.write( "(C) x^2/64 + y^2/25 = 1
\n" ); document.write( "(D) none of these
\n" ); document.write( "1 solutions
\n" ); document.write( "Answer 17014 by venugopalramana(1167) About Me on
\n" ); document.write( "2006-03-15 11:21:03 (Show Source):
\n" ); document.write( "SEE THE FOLLOWING AND TRY..IF STILL IN DIFFICULTY
\n" ); document.write( "PLEASE COME BACK...
\n" ); document.write( "OK I WORKED IT OUT FOR YOU NOW
\n" ); document.write( "I TOLD YOU EQN IS
\n" ); document.write( "(X-H)^2/A^2 + (Y-K)^2/B^2 =1
\n" ); document.write( "WHERE H,K IS CENTRE...SO H=5 AND K=-3 AS CENTRE IS
\n" ); document.write( "GIVEN AS (5,-3)....NOW VERTEX IS (13,-3)...IT LIES ON
\n" ); document.write( "ELLIPSE..SO IT SATISFIES THE EQN
\n" ); document.write( "(13-5)^2/A^2 +(-3+3)^2/B^2 =1
\n" ); document.write( "HENCE A^2=64...OR A=8
\n" ); document.write( "MINOR AXIS =10=2B...HENCE B=5..SO EQN.S
\n" ); document.write( "(X-H)^2/64 + (Y+3)^2/25 =1
\n" ); document.write( "THAT IS A IS CORRECT.
\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
\n" ); document.write( "Quadratic-relations-and-conic-sections/30009: Can you
\n" ); document.write( "help me write an equation for an ellipse with a major
\n" ); document.write( "axis with endpoints of (0,8), and (0,-8) with foci of
\n" ); document.write( "(0,5) and (0,-5)?
\n" ); document.write( "1 solutions
\n" ); document.write( "Answer 16810 by venugopalramana(1167) About Me on
\n" ); document.write( "2006-03-13 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 \n" ); document.write( "