Find the equation of a common tangent to the parabola y²=2x and the circle x²+y²+4x=0....

eq of tangent to parabola is y=mx+a/m

here a=1/2

=> mx-y+1/2m=0

this is a tangent to the circle.

so , 2=|-2m+1/2m| /

find value of 'm' from above eq. put it in mx-y+1/2m=0 u'll get the eq of common tangent.