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Does point (10,10) lie on line m?

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Does point (10,10) lie on line m?  [#permalink]

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New post 20 Nov 2016, 10:20
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

83% (00:56) correct 17% (01:09) wrong based on 135 sessions

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Re: Does point (10,10) lie on line m?  [#permalink]

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New post 20 Nov 2016, 10:28
2
Bunuel wrote:
Does point (10,10) lie on line m?

(1) Line m passes through point (10,11).

(2) Line m passes through point (11,10).


the answer should be C

1. we don't know the slope. If we have an undefined slope, then we have a vertical line, and the point 10,10 is on the line. but if the slope is anything but 0, it is not...not sufficient.
2. same thing - If the slope is 0, then we have a horizontal line, and the point is on the line m, if not, then not...

1+2
we have 2 points on the line m - we can find the slope. point 10, 10 is not on the line
sufficient.
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Re: Does point (10,10) lie on line m?  [#permalink]

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New post 20 Nov 2016, 11:23
Does point (10,10) lie on line m?

(1) Line m passes through point (10,11).

(2) Line m passes through point (11,10).

1. no if its +slope line or a -slope line , but yes if its a vertical line // to y axis
2. similarly , no if its a +slope line or a -slope , but yes if its a horizonal line // to x axis.

1&2 combined - we can find the slope = -1
10-10/11-10 = 0 ( so Answer is NO (10,10) doesn't lie on line m)

Ans : C
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Re: Does point (10,10) lie on line m?  [#permalink]

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New post 20 Nov 2016, 13:05
Statements 1 and 2 only define single points. Therefore we cannot plot a line to evaluate the main expression. Therefore A, B and D are out.

If you take both the statements, a line can be plotted and the expression can be evaluated.

Answer is C.
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Re: Does point (10,10) lie on line m?  [#permalink]

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New post 11 Dec 2016, 12:16
1
My 2 cents,
both 1 and 2 are insufficient.
formula for line with 2 given points:
y-y1/x-x1 = y1-y2/x1-x2
gives: x+y=21
So no (10,10) don't belong to line...
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Re: Does point (10,10) lie on line m?  [#permalink]

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New post 17 Aug 2018, 10:39
1
Bunuel wrote:
Does point (10,10) lie on line m?

(1) Line m passes through point (10,11).

(2) Line m passes through point (11,10).


Infinite number of lines can pass through a single point. Only one line can pass through two given points.
Each statement alone is not sufficient. When we combine 2 statements, we can determine the equation of line m given two points and thus check if point (10,10) lies on line m.
Answer C.
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Re: Does point (10,10) lie on line m?   [#permalink] 17 Aug 2018, 10:39
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