Igcse Model Questions Vol1 2019 Mathematics Question 39
Practice objective / multiple choice question 39 from the 2019 Igcse Model Questions Vol1 Mathematics examination.
In a coordinate plane, the position vectors of points A, B and D with respect to the origin O are \(\vec{OA} = (2,\,-1)\), \(\vec{OB} = (k,\,3)\) and \(\vec{OD} = (4,\,5)\) respectively. Point D lies on the segment BC such that \(BD:DC = 1:2\). If triangle OAB is right‑angled at O, determine (i) the value of \(k\), (ii) the position vector \(\vec{OC}\), and (iii) the area of triangle OAB (in square units) correct to two decimal places.
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This is Igcse Model Questions Vol1 2019 Mathematics Question 39. It is one of the objective questions from the 2019 Igcse Model Questions Vol1 Mathematics examination.
Difficulty level: Hard .
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