Igcse Model Questions Vol1 2022 Mathematics Question 26

Practice objective / multiple choice question 26 from the 2022 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2022 Mathematics Objective / Multiple Choice Hard Difficulty
Question 26 IGCSE_MODEL_QUESTIONS_VOL1 • 2022 • MATHEMATICS • objective

In a coordinate system, point O is the origin. The position vector of point A is \(\mathbf{a} = (3,\,4)\). Point B has position vector \(\mathbf{b} = (x,\,y)\). The vector \(\mathbf{AB}\) is perpendicular to \(\mathbf{OA}\) and its magnitude is \(7\) units. Find the possible coordinates of point B.

Answer Options

A. B = (\frac{43}{5},\frac{1}{5}) or B = (-\frac{13}{5},-\frac{41}{5})
B. B = (-\frac{43}{5},-\frac{1}{5}) or B = (\frac{13}{5},\frac{41}{5})
C. B = (\frac{33}{5},-\frac{3}{5}) or B = (-\frac{23}{5},\frac{31}{5})
Correct Answer D. B = (\frac{43}{5},-\frac{1}{5}) or B = (-\frac{13}{5},\frac{41}{5})
Correct Answer
D
Correct Option:
B = (\frac{43}{5},-\frac{1}{5}) or B = (-\frac{13}{5},\frac{41}{5})

About This Question

This is Igcse Model Questions Vol1 2022 Mathematics Question 26. It is one of the objective questions from the 2022 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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