document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=331736>Question 331736</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1)if the line 3x+4y+k=0 touches the ellipse 9x2 +16y2=144 find the value of k<BR>\n" );
document.write( "2)x-y=5 touches the ellipse whose foci are +-3,0 find the eq of ellipse<BR>\n" );
document.write( "3)find the eq of ellipse passing through pt 2,-3 and touching the line x-2y+8=0<BR>\n" );
document.write( "4)find k if y=x+k touches the ellipse 2x2 + 3y2=1<BR>\n" );
document.write( "5)find the eq of tangent from -2,-1 to an ellipse 2x2 + 3y2 =6<BR>\n" );
document.write( "6)prove that x+3 root y=9 is a tangent to an ellipse x2/9+y2/4=1 also find the pt of contact.\r<BR>\n" );
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document.write( "i am unable to solve these problem please help me solve it.i have test in tution today.want the solutin today itself. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #237806 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=237806\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)if the line 3x+4y+k=0 touches the ellipse 9x2 +16y2=144 find the value of k<BR>\n" );
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document.write( "The slope of the line is -3/4.<BR>\n" );
document.write( "The slope of the ellipse is -9x/16y<BR>\n" );
document.write( "Find the 2 points where -9x/16y = -3/4<BR>\n" );
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document.write( "-9x/16y = -3/4<BR>\n" );
document.write( "y = 3x/4<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Sub for y in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+%2B+16y%5E2+=+144 ALIGN=MIDDLE  ALT=\"9x%5E2+%2B+16y%5E2+=+144\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+%2B+16%289x%5E2%2F16%29+=+144 ALIGN=MIDDLE  ALT=\"9x%5E2+%2B+16%289x%5E2%2F16%29+=+144\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18x%5E2+=+144 ALIGN=MIDDLE  ALT=\"18x%5E2+=+144\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = ± sqrt(8)<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16y%5E2+=+144+-+72+=+72 ALIGN=MIDDLE  ALT=\"16y%5E2+=+144+-+72+=+72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = ± 3sqrt(2)/2<BR>\n" );
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document.write( "The 2 points are (2sqrt(2),3sqrt(2)/2) and (-2sqrt(2),-3sqrt(2)/2)<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Use y = mx + b and the points to find b, and then k.<BR>\n" );
document.write( "3sqrt(2)/2 = (-3/4)*(2sqrt(2)) + b<BR>\n" );
document.write( "b = 3sqrt(2)<BR>\n" );
document.write( "y = (-3/4)x + 3sqrt(2)<BR>\n" );
document.write( "3x + 4y = 12sqrt(2)<BR>\n" );
document.write( "k = -12sqrt(2)<BR>\n" );
document.write( "k = +12sqrt(2) </SPAN>\n" );
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