Gce Model Questions Vol1 2021 Mathematics Question 13

Practice objective / multiple choice question 13 from the 2021 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2021 Mathematics Objective / Multiple Choice Hard Difficulty
Question 13 GCE_MODEL_QUESTIONS_VOL1 • 2021 • MATHEMATICS • objective

A circle with centre at the origin O\((0,0)\) has radius 5. A chord AB of this circle has slope \(-\frac{1}{2}\) and its midpoint M lies on the line \(y = -2x + 3\). Find the exact coordinates of points A and B.

Answer Options

Correct Answer A. A\(\bigl(\frac{3+2\sqrt{71}}{4},\frac{6-\sqrt{71}}{4}\bigr)\), B\(\bigl(\frac{3-2\sqrt{71}}{4},\frac{6+\sqrt{71}}{4}\bigr)\)
B. A\bigl(\frac{3+2\sqrt{71}}{4},\frac{6+\sqrt{71}}{4}\bigr), B\bigl(\frac{3-2\sqrt{71}}{4},\frac{6-\sqrt{71}}{4}\bigr)
C. A\bigl(\frac{3+\sqrt{71}}{4},\frac{6-2\sqrt{71}}{4}\bigr), B\bigl(\frac{3-\sqrt{71}}{4},\frac{6+2\sqrt{71}}{4}\bigr)
D. A\bigl(\frac{5+2\sqrt{71}}{4},\frac{4-\sqrt{71}}{4}\bigr), B\bigl(\frac{5-2\sqrt{71}}{4},\frac{4+\sqrt{71}}{4}\bigr)
Correct Answer
A
Correct Option:
A\(\bigl(\frac{3+2\sqrt{71}}{4},\frac{6-\sqrt{71}}{4}\bigr)\), B\(\bigl(\frac{3-2\sqrt{71}}{4},\frac{6+\sqrt{71}}{4}\bigr)\)

About This Question

This is Gce Model Questions Vol1 2021 Mathematics Question 13. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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