The line with gradient 2 passing through the point P(3t, 2t) intersects the x-axis at A and
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The line with gradient −2 passing through the point P(3t, 2t) intersects the x-axis at A and the y-axis at B.
i. Find the area of triangle AOB in terms of t.
The line through P perpendicular to AB intersects the x-axis at C.
ii. Show that the mid-point of PC lies on the line y = x.
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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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