Shortest distance between 2 parallel lines

1/sqrt(2)

theCodeToGMAT wrote:[spoiler]{C}[/spoiler]

Hi Rahul,

Thanks for the diagram. I was just wondering if the x axis distance between l1 and l2 can be less than 1 say something like 0.5?

Thanks,
Sri

gmattesttaker2 wrote:

theCodeToGMAT wrote:[spoiler]{C}[/spoiler]

Hi Rahul,

Thanks for the diagram. I was just wondering if the x axis distance between l1 and l2 can be less than 1 say something like 0.5?

Thanks,
Sri

Hello Sri,

In the question stem, we are provided with the information that both lines are 1 unit apart on x-axis.

The diagram forms a 45-90-45 triangle; the basic property of this triangle is



Where, "m" can be any integer value.

Considering this fact in the question, m = 1.. So, (1)/sqrt(2) or sqrt(2)/2

theCodeToGMAT wrote:

gmattesttaker2 wrote:

theCodeToGMAT wrote:[spoiler]{C}[/spoiler]

Hi Rahul,

Thanks for the diagram. I was just wondering if the x axis distance between l1 and l2 can be less than 1 say something like 0.5?

Thanks,
Sri

Hello Sri,

In the question stem, we are provided with the information that both lines are 1 unit apart on x-axis.

The diagram forms a 45-90-45 triangle; the basic property of this triangle is



Where, "m" can be any integer value.

Considering this fact in the question, m = 1.. So, (1)/sqrt(2) or sqrt(2)/2

Hello Rahul,

Thanks for the explanation. Sorry I totally overlooked the 1 unit distance in the original diagram. Just one more question. How do we know that side opposite angle A is equal to the side opposite angle B. Does it have anything to do with the traversal passing through the parallel lines l1 and l2? I was mainly not sure how do we know that both the base angles are 45 degrees? Thanks a lot for your help.

Best Regards,
Sri

gmattesttaker2 wrote: Hello Rahul,

Thanks for the explanation. Sorry I totally overlooked the 1 unit distance in the original diagram. Just one more question. How do we know that side opposite angle A is equal to the side opposite angle B. Does it have anything to do with the traversal passing through the parallel lines l1 and l2? I was mainly not sure how do we know that both the base angles are 45 degrees? Thanks a lot for your help.

Best Regards,
Sri

Sri, please refer the attached image.