SOLUTION: 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 p

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
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
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.
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
hence h^2=2/2=1
hence h=1
hence the coordinates of the point are -1,1
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