Igcse Model Questions Vol1 2022 Mathematics Question 24

Practice objective / multiple choice question 24 from the 2022 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2022 Mathematics Objective / Multiple Choice Medium Difficulty
Question 24 IGCSE_MODEL_QUESTIONS_VOL1 • 2022 • MATHEMATICS • objective

Real numbers \(x\) and \(y\) satisfy \[x+\frac{1}{y}=3\qquad\text{and}\qquad y+\frac{1}{x}=4.\] Find the exact value of \(x^{2}+y^{2}\). Express your answer in simplest surd form.

Answer Options

A. \frac{125}{12}+\frac{20}{6}\sqrt{6}
B. \frac{125}{12}+\frac{25}{6}\sqrt{5}
Correct Answer C. \frac{125}{12}+\frac{25}{6}\sqrt{6}
D. \frac{115}{12}+\frac{25}{6}\sqrt{6}
Correct Answer
C
Correct Option:
\frac{125}{12}+\frac{25}{6}\sqrt{6}

About This Question

This is Igcse Model Questions Vol1 2022 Mathematics Question 24. It is one of the objective questions from the 2022 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

View More Igcse Model Questions Vol1 2022 Mathematics Questions More Igcse 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