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

Question

TextEquation of Tangent to a Curve

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Find the equation of the plane passing through points (2, 1, 0), (3, −2, −2) and (1, 1, −7). Also, obtain its distance from the origin.

The equation of tangent at (2, 3) on the curve y² = px³ + q is y = 4x − 7. Find the values of 'p' and 'q'.