But I don't think either way, because I can visualize the tangent to this circle may or may not be parallel to y-axis. My answer under the given constraints is E.[email protected] wrote:In the xy-plane , line l intersects a circle with center at origin. Is the slope of line l equal to zero?
1) line l passes through second quadrant.
2) line l is perpendicular to the tangent of the circle.
Target question: Is the slope of line l equal to zero?[email protected] wrote:In the xy-plane , line l intersects a circle with center at origin. Is the slope of line l equal to zero?
1) line l passes through second quadrant.
2) line l is perpendicular to the tangent of the circle.
Hi Brent,Brent@GMATPrepNow wrote:Target question: Is the slope of line l equal to zero?[email protected] wrote:In the xy-plane , line l intersects a circle with center at origin. Is the slope of line l equal to zero?
1) line l passes through second quadrant.
2) line l is perpendicular to the tangent of the circle.
IMPORTANT: Since a circle can have an infinite number of tangent lines, the answer here is E.
To prove this, let's jump straight to . . .
Statements 1 and 2 combined
Here are two possible scenarios that meet the two given conditions:
Case a:
Case b:
In once case, the slope of line l equals 0, and in the other case, the slope of line l does not equal 0.
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer = E
Cheers,
Brent
I draw them using PPT, and then take screenshots (which I paste and crop in Paint)sanju09 wrote: Hi Brent,
I wonder where and how do you do these drawings, this really makes great sense while explaining Geometry problems. Would you please PM or tell me the same under this thread only.
[email protected] wrote:In the xy-plane , line l intersects a circle with center at origin. Is the slope of line l equal to zero?
1) line l passes through second quadrant.
2) line l is perpendicular to the tangent of the circle.
