DSQ: Calculating the equation of a circle

Practice Questions

GMAT Quantitative Reasoning › DSQ: Calculating the equation of a circle

Questions

8

1

What is the equation of a given circle on the coordinate plane?

Statement 1: Its center is at the origin.

Statement 2: One of its diameters has endpoints and .

2

Write the equation for circle , a circle in the standard x-y plane.

I) is centered at .

II) The line is tangent to the circle at the point .

3

Find the equation of Circle X.

I) The x-coordinate of Circle X's center is twice the y-coordinate of Circle X's center.

II) Circle X has a radius of 16 units.

4

What is the area of the circle $(x+5)^{2}+(y-2)^{2}=32?$

5

Consider Circle L.

I) The radius of Circle L is twice the value of the third prime number when counting the prime numbers and increasing after zero.

II) The x-coordinate of Circle L is four times the y-coordinate of L. The y-coordinate is equal to the radius.

Find the equation of Circle L.

6

Circle T is plotted in Euclidean space. Find its equation.

I) The diameter of Circle T is twice the square of the y-coordinate of its center.

II) Circle T is centered at the point .

7

Find the equation of circle T.

I) Circle T is centered at the point .

II) Circle T touches the axis at the point .

8

The graph of the equation

$(x-A)^{2} + (y-A)^{2} = B$ ,

where , is a circle. In which quadrant is the center of the circle located?

Statement 1:

Statement 2:

Return to subject