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If x 0, y 0, andx2+y2=1, which of the following statements must be

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Aakash0101raj
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If x 0, y 0, andx2+y2=1, which of the following statements must be [#permalink] New post   10 Nov 2022, 08:11
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If \(x ≥ 0\), \(y ≥ 0\), and \(x^2+y^2=1\), which of the following statements must be true?

A. x ≥ 1

B. y ≤ 1

C. y ≥ 1

D. x+y ≤ 1

E. x+y ≥ 1
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B,E
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Re: If x 0, y 0, andx2+y2=1, which of the following statements must be [#permalink] New post   10 Nov 2022, 10:16
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This is a multiple answer choice question NOT a quantitative comparison
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If x 0, y 0, andx2+y2=1, which of the following statements must be [#permalink] New post   10 Nov 2022, 17:00
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Ok, I did a mistake there. Sorry for that. but how would you solve it using diagram of circle. Carcass help me solve this.
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Re: If x 0, y 0, andx2+y2=1, which of the following statements must be [#permalink] New post   14 Nov 2022, 19:49
Carcass Help me solve this.
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If x 0, y 0, andx2+y2=1, which of the following statements must be [#permalink] New post   14 Nov 2022, 23:57
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\(x^2+y^2=1, x^2≥0\), so \(y^2≤1\), that is,\( y≤1\)

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\(x^2+y^2 =1\), that is \((x+y)^2-2xy=1, (x+y)^2=1+2xy, x≥0, y≥0\), then \(1+2xy≥1, so (x+y )^2≥1, x+y≥1\).
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Re: If x 0, y 0, andx2+y2=1, which of the following statements must be [#permalink] New post   23 Jan 2025, 20:45
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If x 0, y 0, andx2+y2=1, which of the following statements must be [#permalink]
23 Jan 2025, 20:45
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