GCE Mathematics 2024 Objective — Question 47
Question 47 of 50 from the General Certificate of Education (GCE) Mathematics 2024 Objective paper, with the correct answer and a full explanation.
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Which of the following points lies on the line 3x−8y=11?
- A. A. (1,1)
- B. B. (1,-1)Correct
- C. C. (-1,-1)
- D. D. (-1,1)
Explanation
Substituting (1,-1) into 3x−8y: 3(1)−8(−1)=3+8=11, which satisfies the equation 3x−8y=11. The other points do not satisfy it: (1,1) gives 3−8=−5; (−1,−1) gives −3+8=5; (−1,1) gives −3−8=−11.
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