Gce Model Questions Vol1 2024 Mathematics Question 33

Practice objective / multiple choice question 33 from the 2024 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2024 Mathematics Objective / Multiple Choice Medium Difficulty
Question 33 GCE_MODEL_QUESTIONS_VOL1 • 2024 • MATHEMATICS • objective

A point \(P(x, y)\) moves so that its distance from the fixed point \((2, -1)\) is twice its perpendicular distance from the line \(y = x + 3\). Determine the coordinates of the point \(P\) that also lies on the line \(y = 2x - 1\).

Answer Options

A. (-2+\sqrt{30}\/3, -5+2\sqrt{30}\/3) and (-2-\sqrt{30}\/3, -5-2\sqrt{30}\/3)
B. (-2+2\sqrt{30}\/3, -5-4\sqrt{30}\/3) and (-2-2\sqrt{30}\/3, -5+4\sqrt{30}\/3)
C. (2-2\sqrt{30}\/3, 5-4\sqrt{30}\/3) and (2+2\sqrt{30}\/3, 5+4\sqrt{30}\/3)
Correct Answer D. (-2+2\sqrt{30}/3, -5+4\sqrt{30}/3) and (-2-2\sqrt{30}/3, -5-4\sqrt{30}/3)
Correct Answer
D
Correct Option:
(-2+2\sqrt{30}/3, -5+4\sqrt{30}/3) and (-2-2\sqrt{30}/3, -5-4\sqrt{30}/3)

About This Question

This is Gce Model Questions Vol1 2024 Mathematics Question 33. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

View More Gce Model Questions Vol1 2024 Mathematics Questions More Gce Model Questions Vol1 Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support