Circles — Engineering Board Exam Practice Questions
16 free engineering board exam reviewer questions on Circles (Analytic Geometry), each with the correct answer and a worked solution.
- Two circles of radii 9 and 4 have centers 15 units apart. Find the length of their common external tangent.
- A circle passes through (1,2) and (5,4) and its center lies on the x-axis. Find its radius.
- Find the equation of the circle with center (-1,4) that passes through (2,0).
- Two circles are externally tangent. The centers are (0,0) and (12,5), and the first circle has radius 4. Find the radius of the second…
- Find the center of the circle x2+y2-10x+4y+13=0.
- Find the equation of the tangent line to the circle x2+y2=25 at the point (3,4).
- Find the length of the common chord of the circles x2+y2=25 and (x-6)2+y2=25.
- Find the radius of the circle with center (1,2) that is tangent to the line 3x+4y-20=0.
- Find the equation of the circle with center (3,-5) that is tangent to the x-axis.
- Find the length of the tangent drawn from the point (6,8) to the circle x2+y2=36.
- Find the equation of the circle passing through (0,0), (4,0) and (0,6).
- Find the equation of the circle that has the segment joining (-2,3) and (6,-1) as a diameter.
- Find the equation of the circle with center at the origin that passes through (-3,4).
- Find the area of the circle x2+y2+8x-6y=0.
- Find the equation of the circle with center (2,-3) and radius 4.
- Find the radius of the circle x2+y2-6x+4y-12=0.