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C is a circle, L is a line, and P is a point on line L. If C
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C is a circle, L is a line, and P is a point on line L. If C [#permalink] New post  18 Jun 2018, 09:48
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C is a circle, L is a line, and P is a point on line L. If C, L, and P are in the same plane and P is inside C, how many points do C and L have in common?

A. 0

B. 1

C. 2

D. 3

E. 4
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Re: C is a circle, L is a line, and P is a point on line L. If C [#permalink] New post  28 Jun 2018, 12:05
Carcass wrote:
C is a circle, L is a line, and P is a point on line L. If C, L, and P are in the same plane and P is inside C, how many points do C and L have in common?

A. 0

B. 1

C. 2

D. 3

E. 4


Since point P lies in the circle and this point also on line, then there are two points that line touches the circle.

If we draw a line passing through the circle the line touches the circle twice. So 2.

C.

Carcass...let me know my solution is correct.
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Re: C is a circle, L is a line, and P is a point on line L. If C [#permalink] New post  28 Jun 2018, 12:29
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Carcass wrote:
C is a circle, L is a line, and P is a point on line L. If C, L, and P are in the same plane and P is inside C, how many points do C and L have in common?

A. 0

B. 1

C. 2

D. 3

E. 4


From the diagram we can see that the line L passing trough the point P meets C in two points, SO option C
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Re: C is a circle, L is a line, and P is a point on line L. If C [#permalink] New post  23 Jun 2020, 02:29
But what if the line L is not long enough to pass the edges of the circle, then L and C will have no common points, or L passes only through one point in the circle and not other, then both geometries will have only 1 common point?
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