co-ordinate geometry..looks simlple..but there is a catch

[mauni]

In the rectangular coordinate system, if line a is parallel to one of the axes, does line a contain the point (4, 5) ?

(1) Line a contains the point (4, -5).
(2) Line a crosses the x-axis.

answer:

SPOILER:
c

I thought it would be an 'a' ... but the answer is different..can anyone tell me the role of stmt 2

[lsr]

Originally Posted by mauni

In the rectangular coordinate system, if line a is parallel to one of the axes, does line a contain the point (4, 5) ?

(1) Line a contains the point (4, -5).
(2) Line a crosses the x-axis.

answer:

SPOILER:
c

I thought it would be an 'a' ... but the answer is different..can anyone tell me the role of stmt 2

The line can be parallel to either the x-axis or the y-axis.

If a line contains the point (a,b) and is parallel to the y-axis, then the line's equation is x=a; where the line will contain only points (a,y) for all values of y.

If a line contains the point (a,b) and is parallel to the x-axis, then the line's equation is y=b; where the line will contain only points (x,b) for all values of x.

Either line's equetion x=4 or y=5 will satisfy the conditions of the question stem.

First statement:
The line's equetion is either x=4 or y=-5
Not sufficient.

Second statement:
The line is parallel to the y-axis.
Not sufficient.

Both statements:
The line's equation is x=4.
Sufficient.

Answer is C.

[ken_english]

C for me too

[krishna_k1]

C for me too.

[bads123]

IMO C
Good explanation lsr.

Another vote for C