∵ Tangent to the given curve is parallel to line 2y=4x+1 ∴ Slope of tangent (m)=2 Then, the equation of tangent will be of the form y=2x+c ......(i) ∵ Line (i) and curve y=x2−5x+5 has only one point of intersection. ∴2x+c=x2−5x+5 x2−7x+(5−c)=0 ∴D=49−4(5−c)=0 ⇒c=−