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1.5.9 Intersection of a line and a curve

Why can the expressions in y=f(x)y=f(x)y=f(x) and y=g(x)y=g(x)y=g(x) be equated at an intersection?

A

Both graphs have the same yyy-coordinate.

B

They meet once: the line is tangent at a repeated root.

C
  • (1+5, 4+5)(1+\sqrt{5},\,4+\sqrt{5})(1+5​,4+5​)
  • (1−5, 4−5)(1-\sqrt{5},\,4-\sqrt{5})(1−5​,4−5​)
D

Setting the discriminant to zero gives k=−2k=-2k=−2.

1.5.9 Intersection of a line and a curve Flashcards

  1. A Level
  2. /Maths
  3. /1.5.9 Intersection of a line and a curve

Flashcards for OCR (MEI) A Level Maths 1.5.9 Intersection of a line and a curve, covering the key formulae, methods and definitions you need to recall for Component 01, Component 02 and Component 03. 23 cards, matched to the OCR (MEI) A Level Maths (H640) specification. Recall questions account for roughly 50% of marks at A Level Maths, so these target the marks you can secure before the paper starts.