WAEC Mathematics 2025 Objective — Question 14
Question 14 of 51 from the West African Examinations Council (WAEC) Mathematics 2025 Objective paper, with the correct answer and a full explanation.
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Make m the subject of the relation k = sqrt[(m-y)/(m+1)].
- A. m = (y+k^2)/(k^2+1)
- B. m = (y+k^2)/(1-k^2)Correct
- C. m = (y-k^2)/(k^2+1)
- D. m = (y-k^2)/(1-k^2)
Explanation
Squaring both sides: k^2 = (m-y)/(m+1). Cross-multiplying and collecting m terms: m(k^2-1) = -y-k^2, so m = (y+k^2)/(1-k^2).
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