document.write( "Question 1108705: ellipse and hyperbola
\n" );
document.write( "Find the coordinates of the vertices\r
\n" );
document.write( "\n" );
document.write( "4y^2 - 38x^2 = 144 \n" );
document.write( "
Algebra.Com's Answer #723722 by ikleyn(52803)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "It is a hyperbola with y-axis as a real axis.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The center is at (0,0), the origin of the coordinate plane.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The vertices are the points of the curve lying at y-axis x= 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, substitute x= 0 into the equation and get 4y^2 = 144,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "which implies y^2 =\r \n" ); document.write( "\n" ); document.write( "----------- \n" ); document.write( "See the lesson\r \n" ); document.write( "\n" ); document.write( " - Hyperbola definition, canonical equation, characteristic points and elements \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |