Find a point on the curve y = (x – 2)^2 at which the tangent is parallel to the chord joining the points (2, 0) and (4, 4).

Home » Find a point on the curve y = (x – 2)^2 at which the tangent is parallel to the chord joining the points (2, 0) and (4, 4).

Find a point on the curve y = (x – 2)^2 at which the tangent is parallel to the chord joining the points (2, 0) and (4, 4).

Let the given points are A (2, 0) and B (4, 4).

Slope of the chord AB =

Equation of the curve is

Slope of the tangent at

=

If the tangent is parallel to the chord AB, then Slope of tangent = Slope of chord

Therefore, the required point is (3, 1).

i

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