NABTEB Mathematics 2022 Objective — Question 18

Question 18 of 50 from the National Business and Technical Examinations Board (NABTEB) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

Make t the subject of the relation k = m*sqrt((t-p)/r).

A. t = (rk^2+p)/m^2
B. t = (rk^2+pm^2)/m^2Correct
C. t = (rk^2-p)/m^2
D. t = (rk^2+p^2)/m^2

Explanation

k=m*sqrt((t-p)/r). Square both sides: k^2=m^2(t-p)/r, so rk^2/m^2 = t-p, giving t = p + rk^2/m^2 = (rk^2+pm^2)/m^2.

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