Igcse Model Questions Vol1 2021 Mathematics Question 11

Practice objective / multiple choice question 11 from the 2021 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2021 Mathematics Objective / Multiple Choice Hard Difficulty
Question 11 IGCSE_MODEL_QUESTIONS_VOL1 • 2021 • MATHEMATICS • objective

Two vectors \(\mathbf{u}\) and \(\mathbf{v}\) lie in the plane. It is known that \(\mathbf{u}+\mathbf{v} = (3,4)\), the magnitude of \(\mathbf{u}\) is \(5\), and the x‑component of \(\mathbf{u}\) is negative while \(\mathbf{u}\) is perpendicular to the vector \((1,2)\). Find the magnitude of \(\mathbf{v}\).

Answer Options

A. \sqrt{45+4\sqrt5}
B. \sqrt{50-4\sqrt5}
Correct Answer C. \sqrt{50+4\sqrt5}
D. \sqrt{50+2\sqrt5}
Correct Answer
C
Correct Option:
\sqrt{50+4\sqrt5}

About This Question

This is Igcse Model Questions Vol1 2021 Mathematics Question 11. It is one of the objective questions from the 2021 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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