Given, parabola y2=8x⋅⋅⋅⋅⋅⋅⋅(i) Equation of tangent at P(2,−4) is −4y=4(x+2) or x+y+2=0⋅⋅⋅⋅⋅⋅⋅(ii) and Equation of normal to the parabola is x−y+C=0 ∴ Normal passes through (2,−4) ∴C=−6⋅⋅⋅⋅⋅⋅⋅(iii) Normal: x−y=6 Equation of directrix of parabola x=−2⋅⋅⋅⋅⋅⋅⋅(iv) Point of intersection of tangent and normal with directrix are x=−2 at A(−2,0) and B(−2,−8) respectively. O(a,b) and P(2,−4) are given and AQBP is a square. Mid-point of AB= Mid-point of PQ ⇒(−2,−4)=(