A curve has equation y = x 2 4x + 4 and a line has the
Question:
A curve has equation y = x2 − 4x + 4 and a line has the equation y = mx, where m is a constant.
i. For the case where m = 1, the curve and the line intersect at the points A and B. Find the coordinates of the mid-point of AB.
ii. Find the non-zero value of m for which the line is a tangent to the curve, and find the coordinates of the point where the tangent touches the curve.
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i When m 1 we can set y x2 4x 4 equal to y mx and solve for the xcoordinates of the points of inters...View the full answer
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Related Book For 
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
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