document.write( "Question 36365: (b) Find the equation of the sphere, which contains the circle
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document.write( " x^2 + y^2 + z^2 = 9, 3x + 3y + 3z = 5 and
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document.write( " passes through the origin. \n" );
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Algebra.Com's Answer #22506 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! (b) Find the equation of the sphere, which contains the circle \n" ); document.write( "x^2 + y^2 + z^2 = 9, 3x + 3y + 3z = 5 and passes through the origin. \n" ); document.write( " THAT IS CONTAINS CIRCLE \n" ); document.write( "x^2 + y^2 + z^2 - 9=0=P SAY ,AND 3x + 3y + 3z - 5 =0=L SAY \n" ); document.write( "ANY SPHERE THROUGH THE ABOVE CIRCLE IS GIVEN BY \n" ); document.write( "P+KL=0...WHERE K IS A CONSTANT TO BE FOUND..WE ARE GIVEN IT PASSES THROUGH ORIGIN.HENCE \n" ); document.write( "0^2+0^2+0^2-9+K(0+0+0-5)=0 \n" ); document.write( "-9-5K=0...........5K=-9 \n" ); document.write( "K=-9/5 \n" ); document.write( "HENCE EQN OF SPHERE IS \n" ); document.write( "5(X^2+Y^2+Z^2-9)-9(3X+3Y+3Z-5)=0 \n" ); document.write( "5X^2+5Y^2+5Z^2-45-27X-27Y-27Z+45=0 \n" ); document.write( "5X^2+5Y^2+5Z^2-27X-27Y-27Z=0 \n" ); document.write( " |