Answer:
Option A
Explanation:
Let the tangent to parabola be y=mx+a/m, If it touches the other curve, then D=0, to get the value of m
For parabola, y2=4x
Let y=mx+1/m be tangent line and it touches the parabola x2=−32y
∴ x2=−32(mx+1m)
⇒ x2+32mx+32m=0
∴ D=0
∴ (32m)2−4.(32m)=0
⇒ m3=18
∴ m=12