GMAT Math : DSQ: Calculating the slope of a tangent line

Study concepts, example questions & explanations for GMAT Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 : Dsq: Calculating The Slope Of A Tangent Line

Find the slope of the line tangent to circle  at the point .

I) Circle has a radius of  units.

II) The area of circle f is .

Possible Answers:

Statement I is sufficient to answer the question, but Statement II is not sufficient to answer the question.

Either statement alone is sufficient to answer the question.

Statement II is sufficient to answer the question, but Statement I is not sufficient to answer the question.

Neither statement is sufficient to answer the question. More information is needed.

Both statements together are needed to answer the question.

Correct answer:

Neither statement is sufficient to answer the question. More information is needed.

Explanation:

In this case, I and II give us a ton of information about the size of the circle, but we have no clue as to its location.

In order to know the slope of the tangent line, we need to know location of the circle, so we cannot solve this problem.

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: