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Let P and Q be points which are two inches apart, and let A be the are

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Let P and Q be points which are two inches apart, and let A be the are  [#permalink]

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New post 25 Nov 2018, 23:13
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Difficulty:

  95% (hard)

Question Stats:

27% (01:48) correct 73% (01:25) wrong based on 60 sessions

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Let P and Q be points which are two inches apart, and let A be the area, in square inches, of a circle which passes through P and Q. Which of the following is the set of all possible values of A.


A. 0 < A

B. 0 < A <= π

C. A = π

D. A > π

E. A ≥ π

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Re: Let P and Q be points which are two inches apart, and let A be the are  [#permalink]

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New post 26 Nov 2018, 22:09
Bunuel wrote:
Let P and Q be points which are two inches apart, and let A be the area, in square inches, of a circle which passes through P and Q. Which of the following is the set of all possible values of A.


A. 0 < A

B. 0 < A <= π

C. A = π

D. A > π

E. A ≥ π


GMATinsight : can circle pass through any point on line P Q ? is so then shouldnt answer be B ..?
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Re: Let P and Q be points which are two inches apart, and let A be the are  [#permalink]

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New post 29 Nov 2018, 23:18
Minimum area of the circle will be when P and Q are the two points of the diameter.
Area in that case would be π.

Max area will be when P and Q are the two point of the chord of a circle.
Diameter will be >2 inch , therefore , area > π

Answer E.
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Re: Let P and Q be points which are two inches apart, and let A be the are &nbs [#permalink] 29 Nov 2018, 23:18
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Let P and Q be points which are two inches apart, and let A be the are

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