Eqn of given curvesy2=4ax and x2=4byTheir point of intersections are (0,0) and (4a1/3b2/3,4a2/3b1/3)y2=4ax⇒dxdy​=y2a​, slope =2b1/3a1/3​....(i)x2=4by⇒dxdy​=2bx​, slope =b1/32a1/3​....(ii)At (0,0), angle between two curves is 90∘orAcute angle θ between (i) and (ii) isθ=tan−1{23​(a2/3+b2/3a1/3b1/3​)}