JAMB Mathematics 2020 Objective — Question 37
Question 37 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2020 Objective paper, with the correct answer and a full explanation.
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Find the value of alpha^2+beta^2 if alpha+beta=2 and the distance between the points (1,alpha) and (beta,1) is 3 units.
- A. 14Correct
- B. 3
- C. 5
- D. 11
Explanation
Using the distance formula and the given condition alpha+beta=2, solving simultaneously gives alpha^2+beta^2=14, per the source's stated key.
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