Gce Model Questions Vol1 2021 Mathematics Question 29

Practice objective / multiple choice question 29 from the 2021 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2021 Mathematics Objective / Multiple Choice Medium Difficulty
Question 29 GCE_MODEL_QUESTIONS_VOL1 • 2021 • MATHEMATICS • objective

The quadratic equation \(x^{2}-kx+12=0\) has two distinct positive roots \(r\) and \(s\) such that the arithmetic mean of \(r\) and \(s\) is twice their harmonic mean. Determine the value of \(k\) and then compute \(r^{2}+s^{2}\).

Answer Options

A. k = 4√3, r^2 + s^2 = 60
B. k = 2√6, r^2 + s^2 = 48
C. k = 5√6, r^2 + s^2 = 80
Correct Answer D. k = 4√6, r^2 + s^2 = 72
Correct Answer
D
Correct Option:
k = 4√6, r^2 + s^2 = 72

About This Question

This is Gce Model Questions Vol1 2021 Mathematics Question 29. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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