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Which of the following points in the coordinate plane does not lie on

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Which of the following points in the coordinate plane does not lie on  [#permalink]

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New post 09 Oct 2018, 01:32
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A
B
C
D
E

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84% (00:46) correct 16% (01:05) wrong based on 57 sessions

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Re: Which of the following points in the coordinate plane does not lie on  [#permalink]

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New post 09 Oct 2018, 08:38
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Bunuel wrote:
Which of the following points in the coordinate plane does not lie on the curve \(y = x^2 - 3\)?

(A) (3, 6)
(B) (–3, 6)
(C) (0, –3)
(D) (–3, 0)
(E) (0.5, –2.75)


Plug in the value of x to check if the value of y matches with the given options, all except (E) matches, hence Answer must be (D)

For (D)

\(y = -3^2 - 3\)

Or, \(y = 6\), but in option it is given y = 0
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Re: Which of the following points in the coordinate plane does not lie on  [#permalink]

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New post 09 Oct 2018, 10:18
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Bunuel wrote:
Which of the following points in the coordinate plane does not lie on the curve \(y = x^2 - 3\)?

(A) (3, 6)
(B) (–3, 6)
(C) (0, –3)
(D) (–3, 0)
(E) (0.5, –2.75)


Key Concept: If a point lies on a given line (or curve), then the x- and y-coordinates of that point must satisfy the equation of that line (or curve)

So, let's check each answer choice...

(A) (3, 6)
Plug x = 3 and y = 6 into the given equation y = x² - 3
We get: 6 = 3² - 3
Since the coordinates satisfy the equation of the curve, we know that (3, 6) lies ON the curve

(B) (-3, 6)
Plug x = -3 and y = 6 into the given equation y = x² - 3
We get: 6 = (-3)² - 3
Since the coordinates satisfy the equation of the curve, we know that (-3, 6) lies ON the curve

(C) (0, -3)
We get: -3 = 0² - 3
Since the coordinates satisfy the equation of the curve, we know that (0, -3) lies ON the curve

(D) (-3, 0)
We get: 0 = (-3)² - 3
Since the coordinates DO NOT satisfy the equation of the curve, we know that (-3, 0) does NOT lie on the curve

Answer: D

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Re: Which of the following points in the coordinate plane does not lie on  [#permalink]

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New post 09 Oct 2019, 12:17
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Re: Which of the following points in the coordinate plane does not lie on   [#permalink] 09 Oct 2019, 12:17
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