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Bunuel
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(A) All three vertices of a triangle could lie on a circle (inscribed triangle).
(C) All four vertices of a rectangle could lie on a circle (inscribed rectangle).
(D) Two triangles could intersect like a star (so more than two intersection points)
(E) A line could be the same line as one side of the triangle and thus this line and triangle could intersect in infinite points.

But in case of (B) A line and a circle could never intersect in more than two points. If its a secant, it can cut circle in two points only, or it could be a tangent and touch the circle only at one point. Of course, there could be 0 points of intersection also.

Hence B answer
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Bunuel
Which of the following CANNOT have more than 2 points in common?

(A) a circle and a triangle
(B) a line and a circle
(C) a circle and a rectangle
(D) two triangles
(E) a line and a triangle

Dear Moderator ,
Found this PS question, in the DS section of Geometry, hope you will do the needful. Thank you.
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stne
Bunuel
Which of the following CANNOT have more than 2 points in common?

(A) a circle and a triangle
(B) a line and a circle
(C) a circle and a rectangle
(D) two triangles
(E) a line and a triangle

Dear Moderator ,
Found this PS question, in the DS section of Geometry, hope you will do the needful. Thank you.
_____________
Moved. Thank you.
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