Does point (10,10) lie on line m? (1) Line m passes through point (10

Question

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

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

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

sumitkrocks · Answer

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

Statement 1: Line m passes through point (10,11) 
There may be infinite lines passing through (10,11) and x=10 is one of such lines which passes through both at the same time there are infinite lines which pass through only one of those points; Hence, not sufficient.

Statement 2: Line m passes through point (11,10)
There may be infinite lines passing through (11,10) and y=10 is one of such lines which passes through both at the same time there are infinite lines which pass through only one of those points; Hence, not sufficient.

Combined :

There is a unique line which passes through two points; Hence Sufficient

C is the right answer IMO

ManyataM · Answer

IMO answer is option C

STATE 1 : passes through (10,11)
insuff since line could be parallel to y axis, in that case it will pass thru (10,10). But if it is downward or upward sloping it will not pass. Insuff

State 2 : same reason. If it is parallel to x axis it will pass thru the point (10,10) but it could be otherwise as well.

On combining both statements we got to know it is a downward sloping line. therefore, it will not pass thru (10,10)

A definite no with option C

praveen27sinha · Answer

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

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

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

Statement 1
We only know that line passes through (10,10) it can pass through (10,11) or can pass through any other point.

Insufficient

Statement 2
We only know that line passes through (10,10) it can pass through (11,10) or can pass through any other point.
Insufficient

Combining 1 and 2 , line passes through (10,11) and (11,10) it can not pass through (10,10) these point will form a right triangle with points (10,11) and (11,10) for hypotenuse

Sufficient Ans is C.

ramlala · Answer

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

(1) Line m passes through point (10,11).
 Information about only one point. 
 Not sufficient

(2) Line m passes through point (11,10).
 Information about only one point. 
 Not sufficient

Statement 1 & 2
 We have two points of line.
We can calculate whether point (10,10) lie on line m or not. 
 Sufficient

IMO C

TarunKumar1234 · Answer

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

Stat1: Line m passes through point (10,11).
There will be infinite lines pass through a single point. We can't say, if it passes through (10,10) or not. Not sufficient.

Stat2: Line m passes through point (11,10).
again, Not sufficient as mentioned in stat 1.

Combining both, we shall have a st. line so we can conclude if it passes through (10,10) or not. Sufficient.

So, I think C.

DD06 · Answer

Some good explanations on the thread. Here's a more "technical" approach to the problem

Does point (10,10) lie on line m?  Let's try to find the equation of the line.
We will use the following equation:
 y = mx+c (you can use other forms of line too)

(1) Line m passes through point (10,11).
=> y=mx+c
=> 11 = 10m+c
 Two variables m, c so can't find the equation. Insuffficient

(2) Line m passes through point (11,10).
=> y=mx+c
=> 10 = 11m+c
 Two variables m, c so can't find the equation. Insuffficient

But if you combine 1 & 2. Two equations and two variable, solving them we get m=-1 and c=21
That is we can tell whether 10, 10 will satisfy the equation or not.
While solving the entire thing is not required jotting down a few things will help you solve faster.

Ans C

HoneyLemon · Answer

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

Statement 1: Line m passes through point (10,11)
Slope is not known . So may be infinite lines passing through (10,11)..,  not sufficient.

Statement 2: Line m passes through point (11,10)
Slope is not known . So may be infinite lines passing through (10,11)..,  not sufficient.

Combined :

There is a unique line which passes through two points; We can definitely say whether point (10,10) lie on line m ..   Sufficient

C

sujoykrdatta · Answer

From 1: We only know that the line passes through (10,11). 
There can be infinite possible such lines and one of those  may  pass through (10,10). - insufficient

From 2: From the same reasoning - insufficient

Combining: we get a unique line passing through the two points. Hence we would be able to conclude whether it will or it will not pass through (10,10). - Sufficient

Answer C

Posted from my mobile device

Does point (10,10) lie on line m? (1) Line m passes through point (10

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

Does point (10,10) lie on line m? (1) Line m passes through point (10

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards