document.write( "Question 57061: is there any relation between ellipse parabola and hyperbola without showing figure how we can guess? \n" ); document.write( "

Algebra.Com's Answer #38764 by venugopalramana(3286) $\"\"$ $\"About$

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is there any relation between ellipse parabola and hyperbola without showing figure how we can guess?
\n" ); document.write( "I AM GIVING SOME INDICATIVE TESTS FOR SIMPLE CASES INVOLVING STANDARD
\n" ); document.write( "EQUATIONS WHICH WILL SERVE FOR MOST OF YOUR PRELIMINARY PURPOSES.
\n" ); document.write( "I START PREPARATION.
\n" ); document.write( "1.THEY SHOULD BE ALL SECOND DEGREE EQUATIONS IN X AND Y
\n" ); document.write( " AND THERE ARE NO TERMS INVOLVING XY.
\n" ); document.write( "2.COMBINE ALL X TERMS TO FORM A PERFECT SQUARE.
\n" ); document.write( "3.COMBINE ALL Y TERMS TO FORM A PERFECT SQUARE.
\n" ); document.write( "4.TAKE ALL CONSTANT TERMS ON RIGHT SIDE KEEPING X AND Y
\n" ); document.write( " TERMS ON LEFT SIDE
\n" ); document.write( "II.INDICATIONS
\n" ); document.write( "PARABOLA:
\n" ); document.write( "1.THERE ARE ONLY X TERMS FORMING A PERFECT SQUARE AND Y TERMS ARE
\n" ); document.write( " IN FIRST DEGREE.......OR......
\n" ); document.write( " THERE ARE ONLY Y TERMS FORMING A PERFECT SQUARE AND X TERMS ARE
\n" ); document.write( " IN FIRST DEGREE.
\n" ); document.write( " THEN IT IS LIKELY TO BE A PARABOLA.
\n" ); document.write( "ELLIPSE :
\n" ); document.write( "1. X TERMS FORMING PERFECT SQUARE AND Y TERMS FORMING PERFECT SQUARE
\n" ); document.write( " ON LEFT SIDE ARE SEPERATED BY A +VE(PLUS) SIGN.
\n" ); document.write( " THEN IT IS LIKELY TO BE AN ELLIPSE
\n" ); document.write( "HYPERBOLA :
\n" ); document.write( "1. X TERMS FORMING PERFECT SQUARE AND Y TERMS FORMING PERFECT SQUARE
\n" ); document.write( " ON LEFT SIDE ARE SEPERATED BY A - VE(MINUS) SIGN.
\n" ); document.write( " THEN IT IS LIKELY TO BE A HYPERBOLA \n" ); document.write( "

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