f1(x)=x2−x+1,f2(x)=x3−x2−2x+1 ⇒f11(x)=2x−1,f21(x)=3x2−2x−2 Let the tangents drawn to the curve y=f1(x)&y=f2(x) At(x1,y1)&(x2,y2) are parallel ⇒2x1−1=3x22−2x2−2 ⇒2x1=3x22−2x2−1 Which is possible for infinite numbers of ordered pairs ⇒ Infinite solutions