Bunuel wrote:

A circle and a straight line are drawn on the same coordinate graph. In how many places do the two graphs intersect?

(1) The equation of the circle is x^2 + y^2 = 25.

(2) The y-intercept of the straight line is 6.

A circle and a straight line are drawn on the same coordinate graph. In how many places do the two graphs intersect?

(1) The equation of the circle is x^2 + y^2 = 25.

The origin of the circle is at (0,0) and has a radius of 5.

We don't know anything about the line

INSUFFICIENT

(2) The y-intercept of the straight line is 6.

No information about the circle

INSUFFICIENT

Merging both statement

A circle of radios 5 is drawn a the origin and a line with Y intercept at 6 is drawn. The line has one xy pair as (0,6). what about the slope or other (X,Y) pair.

We don't know if the line is horizontal (Won't meet the circle), vertical (meet the circle at two points) or inclined (might meet the circle at 2 points , one points or no points at all)

INSUFFICIENT.

ANSWER Is E

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