Eric Nicholas K's answer to Amanda's Secondary 3 A Maths Singapore question.
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I have some reservations on the solution p = 0, as the case p = 0 leads to the curve equation being x2 + y2 = 0 which is not exactly a curve at all.
We know that perfect squares have a minimum value of 0, so the only way that x2 + y2 can equal 0 is when both x and y are 0, and thus the “curve” is actually only one single coordinate and not exactly a curve.
(For your information, x2 + y2 = 0 represents a “circle” centred at (0, 0) having a radius of “0” units; you will learn circles late in Sec 3 A Maths)
We know that perfect squares have a minimum value of 0, so the only way that x2 + y2 can equal 0 is when both x and y are 0, and thus the “curve” is actually only one single coordinate and not exactly a curve.
(For your information, x2 + y2 = 0 represents a “circle” centred at (0, 0) having a radius of “0” units; you will learn circles late in Sec 3 A Maths)
Date Posted:
4 years ago
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