Given, parabola y2=8x...(i) Equation of tangent at P(2,−4) is −4y=4(x+2) orx+y+2=0 ...(ii) and Equation of normal to the parabola is x−y+C=0 ∴ Normal passes through (2,−4) ∴C=−6 Normal:x−y=6 ...(iii) 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. Q(a,b) and P(2,−4) are given and AQBP is a square. Mid-point of AB = Mid-point of PQ ⇒(−2,−4)=(