Answer :

We know that if a tangent is parallel to the chord joining the points (2,0) and (4,4), then

Slope of the tangent = slope of the curve………….(1)


And, the slope of the curve =


Now, slope of the tangent to the given curve at a point (x,y) is:



Now, from (1) we have,


2(x -2) = 2


x-2 = 1


x =3


So, when x = 3 then y = (3-2)2 = 1


Therefore, required points are (3,1).


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