The equation of a line passing through (−2,3) and parallel to the tangent at origin for circle x2+y2+x−y=0 is:
x2+y2+x−y=0
⇒2x+2ydydx+1−dydx=0
⇒(2y−1)dydx=−(2x+1)⇒(dydx)0,0=1
∴ Required Line slope = 1, point = (-2, 3)
∴ Equation of Line is
y−3=x+2⇒x−y+5=0