Question 14735
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