Source: Veritas Prep
Line M is tangent to a circle, which is centered on point (3, 4). Does Line M run through the point (6, 6)?
1) Line M runs through the point (-8, 6).
2) Line M is tangent to the circle at point (3, 6).
OA B
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Line M is tangent to a circle, which is centered on point
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Statement 1:AAPL wrote:Source: Veritas Prep
Line M is tangent to a circle, which is centered on point (3, 4). Does Line M run through the point (6, 6)?
1) Line M runs through the point (-8, 6).
2) Line M is tangent to the circle at point (3, 6).
Case 1:
In this case, the answer to the question stem is YES.
Case 2:
In this case, the answer to the question stem is NO.
INSUFFICIENT.
Rule:
A line tangent to a circle and a radius drawn to the point of tangency are PERPENDICULAR.
Statement 2:
As shown in the figure above, the radius drawn to tangent point (3,6) is VERTICAL.
Since this radius and line M must be perpendicular, line M must be HORIZONTAL.
Since horizontal line M passes through (3,6), it must also pass through (6,6).
SUFFICIENT.
The correct answer is B.
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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].
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