 Hello and how are you all today? The question says find the point on the curve y is equal to x minus 2 the whole square at which the tangent is Parallel to the code sorry chord joining the points to 0 and 4 4 Let's proceed with the solution Now here we are given that y is equal to x minus 2 the whole square now on differentiating Why with respect to x? We get d y by dx is equal to 2 Into x minus 2 into derivative of x minus 2 which is 1 So it is equal to to bracket x minus 2 now the two points are the two points 2 0 and 4 4 Wait, this is given to us in the question now slope of the chord can be found out by subtracting y 1 from y 2 Upon x 1 from x 2 so we have 4 minus 0 upon 4 minus 2 That is further equal to 4 upon 2 that is equal to 2 now since the tangent is parallel to the chord that means slope of tangent Will be equal to the slope of the chord that is 2 That means we have found out above d y by dx as 2 bracket x minus 2 so we have 2 bracket x minus 2 equal to 2 on Solving we have x minus 2 equal to 1 Which means that the value of x is? 3 When x is 3 the value of y is 3 minus 2 the whole square That is equal to 1 square that is equal to 1 so the point is 3 comma 1 right so this is the required answer to the given question Hope you understood the solution well and enjoyed it to have a nice day