How many planes contain both point P and line l ? (1) Point : DS Archive
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# How many planes contain both point P and line l ? (1) Point

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Manager
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How many planes contain both point P and line l ? (1) Point [#permalink]

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22 May 2004, 06:52
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How many planes contain both point P and line l ?

(1) Point P is not on line l
(2) Point P is on line m and line m intersects line l
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Manager
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22 May 2004, 06:59
not sure but i will go for (b)

In case of 1, we may have the same plane or 2 different planes.

In case of 2, two intersecting lines will be in the same plane.

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22 May 2004, 14:20
(1) any two points on line L and P are not collinear, hence coplanar.
(2) Point P can the point of intersection of Lines L and M, in which case P and any two points on L, or on M, are collinear. Insufficient

A it is.
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22 May 2004, 20:46
Anybody else has any comments on this question?

TIA
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23 May 2004, 00:14
becoolja wrote:
How many planes contain both point P and line l ?

(1) Point P is not on line l
(2) Point P is on line m and line m intersects line l

(1) A line and a point - not on the line will define a plane, So (1) is sufficient to answer the question,
Quote:
How many planes contain both point P and line l ?
: One Plane
(2) if point - P on line :m is an intersection point of line L and line M, the condition holds no good, there can be infinite no of planes passing through point P and line L

Dharmin
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23 May 2004, 18:41
Absolutely agree with Dharmin, your explanation is really to the point
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23 May 2004, 18:46
Dharmin wrote:
becoolja wrote:
How many planes contain both point P and line l ?

(1) Point P is not on line l
(2) Point P is on line m and line m intersects line l

(1) A line and a point - not on the line will define a plane, So (1) is sufficient to answer the question,
Quote:
How many planes contain both point P and line l ?
: One Plane
(2) if point - P on line :m is an intersection point of line L and line M, the condition holds no good, there can be infinite no of planes passing through point P and line L

Dharmin

Let me ask a stupid question here -- what's a plane? I initially thought it's the same thing as a quadret, but looks like I was off.
Re: DS_7_25   [#permalink] 23 May 2004, 18:46
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