JAMB Mathematics 2019 Objective — Question 27

Question 27 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

Find the value of α²+β² if α+β=2 and the distance between the points (1,α) and (β,1) is 3 units

A. 14
B. 3
C. 5
D. 11Correct

Explanation

Distance formula: 3²=(β−1)²+(1−α)². Expanding and using α+β=2: 9=α²+β²−2(α+β)+2 ⇒ 9=α²+β²−4+2 ⇒ α²+β²=11.

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