document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65743>Question 65743</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hyperbola is the only one of the conic sections whose graph contains two separate curves.  <BR>\n" );
document.write( "True <BR>\n" );
document.write( "False\r<BR>\n" );
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document.write( "Each of the remaining questions refer to the hyperbola  36x 2 - 100y 2 - 72x + 400y = 3964. <BR>\n" );
document.write( "The center of the hyperbola is <BR>\n" );
document.write( " (2,1)  <BR>\n" );
document.write( " (1,2)  <BR>\n" );
document.write( " (-1,2)  <BR>\n" );
document.write( " (1,-2)  \r<BR>\n" );
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document.write( "The foci of the hyperbola are at the points  <BR>\n" );
document.write( "(10.662, 2) and (-12.662, 2)  <BR>\n" );
document.write( " (-10.662, -2) and (12.662, -2)  <BR>\n" );
document.write( " (-10.662, 2) and (12.662, 2)  <BR>\n" );
document.write( " (2, -10.662) and (2, 12.662) \r<BR>\n" );
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document.write( "The length of the transverse axis is   <BR>\n" );
document.write( "5 units  <BR>\n" );
document.write( " 10 units  <BR>\n" );
document.write( " 20 units  <BR>\n" );
document.write( " none of the above\r<BR>\n" );
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document.write( " The equations of the two asymptotes are  <BR>\n" );
document.write( "y = (3/5)x + 7/5  and \r<BR>\n" );
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document.write( "y = (-3/5)x + 13/5 <BR>\n" );
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document.write( "y = (-3/5)x + 7/5  and \r<BR>\n" );
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document.write( "y = (3/5)x + 13/5  <BR>\n" );
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document.write( "y = (5/3)x + 7/5  and \r<BR>\n" );
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document.write( "y = (-5/3)x + 13/5  <BR>\n" );
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document.write( "y = (3/5)x + 5/7  and \r<BR>\n" );
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document.write( "y = (-3/5)x + 5/13  \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46470 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=46470\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A hyperbola is the only one of the conic sections whose graph contains two separate curves.<BR>\n" );
document.write( "True<BR>\n" );
document.write( "False<BR>\n" );
document.write( "TRUE SEE THE GRAPH BELOW<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-100%2C+100%2C+-100%2C+100%2C2%2B%28%28x-1%29%5E2-100%29%5E0.5%2F10%2C2-%28%28x-1%29%5E2-100%29%5E0.5%2F10%2C%283x%2B7%29%2F5%2C%2813-3x%29%2F5+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Each of the remaining questions refer to the hyperbola 36x 2 - 100y 2 - 72x + 400y = 3964.<BR>\n" );
document.write( "36(X-1)^2-100(Y-2)^2=3964+36-400=3600<BR>\n" );
document.write( "[(X-1)^2/10^2]-[(Y-2)^2/6^2]=1<BR>\n" );
document.write( "THIS IS IN STD. FORM <BR>\n" );
document.write( "[(X-H)^2]-[(Y-K)^2/B^2]=1.....H=1...K=2....A=10....B=6.....<BR>\n" );
document.write( "CENTER IS (H,K)=(1,2)<BR>\n" );
document.write( "ECCENTRICITY=E=SQRT[(A^2+B^2)/A^2]=SQRT(136/100)=1.1662<BR>\n" );
document.write( "FOCI ARE [H+ AND - AE,K]=[12.662,2] AND [-10.662,2]<BR>\n" );
document.write( "LENGTH OF TRANSVERSE AXIS = 2A=20<BR>\n" );
document.write( "ASYMPTOTES ARE GIVEN BY EQN.<BR>\n" );
document.write( "[(X-1)^2/10^2]-[(Y-2)^2/6^2]=0............OR..........<BR>\n" );
document.write( "(X-1)/10=(Y-2)/6.... AND.....(X-1)/10=-(Y-2)/6<BR>\n" );
document.write( "3X-3=5Y-10.............AND.......3X-3=-5Y+10<BR>\n" );
document.write( "3X-5Y+7=0...........AND...........3X+5Y-13=0 <BR>\n" );
document.write( "The center of the hyperbola is<BR>\n" );
document.write( "(2,1)<BR>\n" );
document.write( "(1,2)...........CORRECT<BR>\n" );
document.write( "(-1,2)<BR>\n" );
document.write( "(1,-2)<BR>\n" );
document.write( "The foci of the hyperbola are at the points<BR>\n" );
document.write( "(10.662, 2) and (-12.662, 2)<BR>\n" );
document.write( "(-10.662, -2) and (12.662, -2)<BR>\n" );
document.write( "(-10.662, 2) and (12.662, 2)...................CORRECT<BR>\n" );
document.write( "(2, -10.662) and (2, 12.662)<BR>\n" );
document.write( "The length of the transverse axis is<BR>\n" );
document.write( "5 units<BR>\n" );
document.write( "10 units<BR>\n" );
document.write( "20 units...................CORRECT<BR>\n" );
document.write( "none of the above\r<BR>\n" );
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document.write( "The equations of the two asymptotes are<BR>\n" );
document.write( "y = (3/5)x + 7/5 and...............CORRECT<BR>\n" );
document.write( "y = (-3/5)x + 13/5.....................CORRECT\r<BR>\n" );
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document.write( "y = (-3/5)x + 7/5 and<BR>\n" );
document.write( "y = (3/5)x + 13/5\r<BR>\n" );
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document.write( "y = (5/3)x + 7/5 and<BR>\n" );
document.write( "y = (-5/3)x + 13/5\r<BR>\n" );
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document.write( "y = (3/5)x + 5/7 and<BR>\n" );
document.write( "y = (-3/5)x + 5/13  </SPAN>\n" );
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