kaarthikvs wrote:The Parallelogram PQRS has points P(1,6) and Q(9,12). What are the coordinates of the point of intersection of the diagonals PR and QS?
1) The equation of PR is 11y-2x=64
2) PQRS is a rectangle
Don't calculate.
DRAW.
Statement 1: The equation of PR is 11y-2x=64
y = (2/11)x + 64/11.
Don't worry about being exact.
Draw PR so that it has a POSITIVE SLOPE.
Case 1:
Case 2:
Since both cases are possible, INSUFFICIENT.
Statement 2: PQRS is a rectangle
Çase 1 also satisfies statement 2.
Case 3:
Since both cases are possible, INSUFFICIENT.
Statements combined:
Only Case 1 satisfies both statements.
Thus, the intersection of the diagonals can be determined.
SUFFICIENT.
The correct answer is
C.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
