WAEC Further Mathematics 2022 Objective — Question 9

Question 9 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.

If x²+y²−2x−6y+5=0, evaluate dy/dx when x=3 and y=2.

A. −2
B. 2Correct
C. 4
D. −4

Explanation

Differentiating implicitly: 2x+2y(dy/dx)−2−6(dy/dx)=0, so dy/dx=(2−2x)/(2y−6). At x=3,y=2: dy/dx=(2−6)/(4−6)=(−4)/(−2)=2.

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