document.write( "Question 38886: Determine the standard form of the equation of a hyperbola with vertices (2,0) and (-2,0) and passing through (4,3) \n" ); document.write( "
Algebra.Com's Answer #24359 by venugopalramana(3286) You can put this solution on YOUR website! Determine the standard form of the equation of a hyperbola with vertices (2,0) and (-2,0) and passing through (4,3)\r \n" ); document.write( "\n" ); document.write( "THE EQN. OF A HYPERBOLA IN STD.FORM IS \n" ); document.write( "(X-H)^2/A^2 - (Y-K)^2/B^2=1…. \n" ); document.write( "WHERE \n" ); document.write( "(H,K) IS CENTRE…HERE WE HAVE CENTRE IS {(2-2)/2,(0+0)/2}=(0,0)..H=K=0\r \n" ); document.write( "\n" ); document.write( "VERTICES ARE (-A,0),(A,0)...A=2 \n" ); document.write( "HENCE EQN.IS \n" ); document.write( "X^2/2^2-Y^2/B^2=1 \n" ); document.write( "IT IS PASSING THROUGH (4,3)....HENCE \n" ); document.write( "4^2/4-3^2/B^2=1 \n" ); document.write( "3=9/B^2 \n" ); document.write( "B^2=9/3=3 \n" ); document.write( "HENCE EQN.IS \n" ); document.write( "X^2/4-Y^2/3=1 \n" ); document.write( " |