The points A and B have coordinates (-1, 4) and (3, -2).
(a) Find the equation of the line AB in the form ax + by + c = 0.
(b) Find the equation of the perpendicular bisector of AB.
From Paper 1: Pure Mathematics
1212 marks
A curve has parametric equations x = t + 1/t, y = t - 1/t, for t > 0.
(a) Find a Cartesian equation of the curve.
(b) Find dy/dx in terms of t.
(c) Find the exact coordinates of the point where the gradient of the curve is 2.
(d) Find the equation of the tangent at this point.
Score 0 / 17 · 0 of 2 marked
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Coordinate geometry in the (x, y) plane Exam Questions: OCR A-Level Maths | Plasmo