WAEC Mathematics 2015 Objective — Question 34
Question 34 of 50 from the West African Examinations Council (WAEC) Mathematics 2015 Objective paper, with the correct answer and a full explanation.
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Make k the subject of the relation T=√[(Tk−H)/(k−H)]
- A. k=H(T²−1)/(T²−T)Correct
- B. k=HT/(T−1)²
- C. k=H(T²+1)/T
- D. k=H(T−1)/T
Explanation
Squaring both sides: T²(k−H)=Tk−H → T²k−T²H=Tk−H → kT²−Tk=T²H−H → k(T²−T)=H(T²−1) → k = H(T²−1)/(T²−T).
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