#1
What is the equation of a circle with center (3, -4) and radius 5?
#2
What are the coordinates of the midpoint of the line segment joining points (2, -3) and (6, 5)?
#3
What is the equation of the line perpendicular to y = 3x - 2 passing through the point (2, -1)?
#4
What is the standard form equation of an ellipse centered at (h, k) with semi-major axis a and semi-minor axis b?
#5
If the line 2x - 3y = 12 is parallel to the line ax + by = 7, what is the value of 'a'?
#6
Which conic section is represented by the equation 2x^2 + 3y^2 - 4x + 6y + 7 = 0?
#7
If a line has slope 2 and passes through the point (3, 4), what is the equation of the line in slope-intercept form?
#8
If the distance between the foci of an ellipse is 10 units and its major axis is 16 units long, what is its minor axis length?
#9
What are the coordinates of the focus of the parabola given by the equation y^2 = 4x?
#10
What is the eccentricity of the hyperbola given by the equation x^2/9 - y^2/16 = 1?
#11
What is the distance between the points (1, 2) and (-3, 5)?
#12
What is the slope of a line parallel to the line passing through the points (4, -3) and (-2, 5)?
#13
The line passing through the points (3, -1) and (5, 4) is tangent to which conic section?
#14
What is the equation of the line tangent to the circle x^2 + y^2 = 25 at the point (3, 4)?
#15