GMAT Quantitative Reasoning Practice Test 2

Question : 70 of 100

Marks: +1, -0

P(x, y)

is the intersection point between the circle

(x^2+y^2=4)

and the line

(y=x+2)

. Which of the following can be the point

P

$(1,2)$
$(2,0)$
$(0,-2)$
$(-2,0)$
$(2,2)$

Solution:

First, draw the circle and the line. The circle is centered at

(0, 0)

with a radius of

2

.
You can see that the line and the circle intersect at two points:

(−2, 0)

and

(0, 2)

.
Another way is to insert

y = x + 2

into the equation of the circle and solve it.

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