document.write( "Question 14735: How to you find the caresian coordinat of x and y point when the coordinates of the point have equal absolute value, the point is in the second quardrant, and the distance of the point from the origin is 2? I don't understand please help \n" ); document.write( "

Algebra.Com's Answer #7360 by venugopalramana(3286) $\"\"$ $\"About$

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the coordinates of point are x,y.since they are equal in absolute value let the absolute value of each be h.since the point is in second quadrant ,its x coordinate is negative and y coordinate is positive so x=-h and y=h.
\n" ); document.write( "now distance from origin is given by square root of (square of x coordinate + square of y coordinate)=square root of ((-h)^2+h^2)=square root of(h^2+h^2)=square root of(2*h^2)=2
\n" ); document.write( "hence h^2=2/2=1
\n" ); document.write( "hence h=1
\n" ); document.write( "hence the coordinates of the point are -1,1 \n" ); document.write( "

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