gmattesttaker2 wrote:Hello,
Can you please help with this:
Is a < 2?
1) In the xy-plane, the point (a,1) lies inside the circle whose equation is x^2 + y^2 = 3
2)
OA: D
Statement 1: In the xy-plane, the point (a,1) lies inside the circle whose equation is x^2 + y^2 = 3
The following represents points ON THE CIRCLE:
x² + y² = 3.
The following represents points INSIDE THE CIRCE:
x² + y² < 3.
Since (a,1) lies inside the circle, we get:
a² + 1² < 3
a² < 2
a < √2.
Thus, a < 2.
SUFFICIENT.
Statement 2: In the xy-plane, the point (a,4) lies on the line whose equation is 2y + 4x = 10
Here, the value of a can be calculated by substituting y=4 into 2y + 4x = 10.
Thus, we can determine whether a < 2.
SUFFICIENT.
The correct answer is
D.
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