OCR A-level Mathematics A · H240

Parametric equations

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OCR format & instructions

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QUESTION PAPER

Mathematics · A levelPure mathematics · H240/01

Torus Maths original · OCR style

A curve is defined parametrically by $x=t^2-4$ , $y=t(t^2-4)$ , for $-2\leq t\leq2$ .

(a)

Find the positions where the tangent is horizontal or vertical.

[4]

(b)

Show that the curve forms a closed loop, and find its exact enclosed area.

[6]

Question reference: ocr-unseen-03-01Report a question →

Answer booklet

Question 1 · Show your working

(a)

Answer booklet · Question 1(a)

(b)

Answer booklet · Question 1(b)

Need a nudge?Three small hints · no answer revealed