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OCR A-level Mathematics A · H240

Modulus function

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Extreme practice · Multi-step problems within A-level pure maths. Difficulty is an editorial judgement. These questions are self-reviewed, not ranked.

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QUESTION PAPER
Mathematics · A levelPure mathematics · H240/01
Torus Maths original · OCR style
1

For k>0, the line y=kx intersects y=∣x2−9∣y=|x^2-9| at P and Q, whose x-coordinates are r and s, with r<s.

(a)

Show that rs is independent of k. Find k when r+s=9r+s=9.

[4]

(b)

For this value of k, find the exact area enclosed by the line and the modulus graph.

[5]

Question reference: ocr-a-level-extreme-20-01Report a question →

Answer booklet

Question 1 · Show your working

(a)
(b)
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