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# How far is the point (x, y) from the origin?

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Math Expert
Joined: 02 Sep 2009
Posts: 55638
How far is the point (x, y) from the origin?  [#permalink]

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13 Sep 2018, 04:57
00:00

Difficulty:

35% (medium)

Question Stats:

67% (01:03) correct 33% (01:29) wrong based on 50 sessions

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How far is the point (x, y) from the origin?

(1) x^2 + 4 = 5 – y^2

(2) x^2 ≠ y^2

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Re: How far is the point (x, y) from the origin?  [#permalink]

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15 Sep 2018, 02:54
How far is the point (x, y) from the origin?

Distance from the origin Formula $$d^2= x^2 + y^2$$

(1) $$x^2 + 4 = 5 – y^2$$

$$x^2 + y^2 = 5 –4=1$$

$$x^2 + y^2 =1$$

$$d^2 =1$$ -> $$d=1$$ A Sufficient

(2) $$x^2 ≠ y^2$$

For calculating distance, magnitude or the exact value between two points is always necessary. Not sufficient
Re: How far is the point (x, y) from the origin?   [#permalink] 15 Sep 2018, 02:54
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