document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251283>Question 251283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question-1:<BR>\n" );
document.write( "(a): Let   be the line given by the equation 3x+4y+12=0 .<BR>\n" );
document.write( "Find the x-intercept M and the y-intercept A of  and compute the distance d between A and M.\r<BR>\n" );
document.write( "\n" );
document.write( "(b): Obtain the equation of the line  through M perpendicular to .\r<BR>\n" );
document.write( "\n" );
document.write( "(c): Find two points B and C on   whose distance from A is equal to .\r<BR>\n" );
document.write( "\n" );
document.write( "(d): Find a point D that makes ABCD a square.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Question-2: Consider the circle C1 given by the equation  .<BR>\n" );
document.write( "(a): Find the radius r and center M of C1 and determine the points A and B of intersection of C1 with the y-axis.\r<BR>\n" );
document.write( "\n" );
document.write( "(b): Find the point D of intersection of the tangent lines to the circle at A <BR>\n" );
document.write( "and B.\r<BR>\n" );
document.write( "\n" );
document.write( "(c): Find the equation of the circle C2 with MD as a diameter.\r<BR>\n" );
document.write( "\n" );
document.write( "(d) (3 marks): Obtain the parametric equations of the circle C1 .\r<BR>\n" );
document.write( "\n" );
document.write( "Question-3:<BR>\n" );
document.write( "Consider the functions f(x)=(5x-4)/(3x+4) and  g(x)=ln(1/6x^2+5x-4)<BR>\n" );
document.write( "(a): Determine the domains of f(x) and g(x).\r<BR>\n" );
document.write( "\n" );
document.write( "(b): Show that f is 1-1 on its domain and obtain its inverse.\r<BR>\n" );
document.write( "\n" );
document.write( "(c): Write expressions for (fog)(x) and (gof)(x)\r<BR>\n" );
document.write( "\n" );
document.write( "(d): Solve the equation  f(x).exp(-g(x))=0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
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 #183081 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=183081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please limit yourself to one problem per submission.<BR>\n" );
document.write( "You are more likely to get a response and it doesn't hog any one tutor's time.<BR>\n" );
document.write( "It is ok to include a though d since they all relate to the same problem.<BR>\n" );
document.write( "But that will also limit your responses.<BR>\n" );
document.write( "Question-1:<BR>\n" );
document.write( "(a): Let be the line given by the equation 3x+4y+12=0 .<BR>\n" );
document.write( "Find the x-intercept M and the y-intercept A of and compute the distance d between A and M.\r<BR>\n" );
document.write( "\n" );
document.write( "To get the x intercept set y=0  and calculate x<BR>\n" );
document.write( "so after you get the intercepts plug in the ordered pairs(coordinates)\r<BR>\n" );
document.write( "\n" );
document.write( "d=Sqrt((x2-x1)^2+(y2-y1)^2)<BR>\n" );
document.write( "(b): Obtain the equation of the line through M perpendicular to .<BR>\n" );
document.write( "convert 3x+4y+12=0 to y=mx+b format<BR>\n" );
document.write( "4y=-3x-12<BR>\n" );
document.write( "y=-3x/4-12<BR>\n" );
document.write( "BTW -12 is the y intercept and -3/4 is the slope<BR>\n" );
document.write( "A line perpendicular will have  a slope 4/3<BR>\n" );
document.write( "(c): Find two points B and C on whose distance from A is equal to <BR>\n" );
document.write( "Equal to what??.<BR>\n" );
document.write( "(d): Find a point D that makes ABCD a square.<BR>\n" );
document.write( "Can't answer d without answering c<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );