N c: q.51-q.60 carry two marks each. for t e r, let [t] denote the greatest integer less than or equal to t. let d = {(x,y) € r2 :x2 +y <4}. let f:d r and g:d r

n C: Q.51-Q.60 Carry TWO marks each. For t E R, let [t] denote the greatest integer less than or equal to t. Let D = {(x,y) € R2 :x2 +y <4}. Let f:D R and g:D Rbe defined by f(0,0) =g(0, 0) = 0 and xy2 fy)= [x *y"la+y gx.y)= yx?+y2 for (x, y) # (0,0). Let E be the set of points of D at which both f and g are discontinuous. The number of elements in the set E is joal