Igcse Model Questions Vol1 2021 Mathematics Question 36

Practice objective / multiple choice question 36 from the 2021 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2021 Mathematics Objective / Multiple Choice Hard Difficulty
Question 36 IGCSE_MODEL_QUESTIONS_VOL1 • 2021 • MATHEMATICS • objective

A point P has coordinates (2,3). It is first reflected in the line \(y = x\), then rotated \(90^{\circ}\) clockwise about the origin, and finally translated by the vector \((k, -2)\). The image point after these three transformations lies on the line \(3x + 4y = 0\). Find the value of \(k\) and give the coordinates of the final image point.

Answer Options

A. k = 5; final point (6, -4)
B. k = 9; final point (10, -8)
C. k = 7; final point (7, -5)
Correct Answer D. k = 7; final point (8, -6)
Correct Answer
D
Correct Option:
k = 7; final point (8, -6)

About This Question

This is Igcse Model Questions Vol1 2021 Mathematics Question 36. It is one of the objective questions from the 2021 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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