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The acute angle between the lines with slopes m1 and m2 is given by tan(θ) = :
A line makes an angle of 135 degrees with the positive direction of the X-axis. Its slope is:
What is the equation of a circle with center (0, 0) and radius 5?
Find the length of the perpendicular from the origin to the line 3x + 4y = 10.
If the area of a triangle with vertices (k, 0), (4, 0), and (0, 2) is 4 square units, then k is:
The homogeneous equation of second degree ax^2 + 2hxy + by^2 = 0 represents a pair of straight lines passing through:
The angle between the pair of lines represented by x^2 - y^2 = 0 is:
Find the center of the circle x^2 + y^2 - 4x + 6y - 12 = 0.
What is the radius of the circle x^2 + y^2 = 9?
The distance between (x, y) and the Y-axis is:
Find the equation of a line with slope 1 and passing through (0, 5).
The coordinates of the midpoint of the line segment joining (a, b) and (-a, -b) are:
For the lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 to be parallel, the condition is:
Which quadrant does the point (-2, -3) lie in?
What is the slope of the line perpendicular to the line x - 2y + 3 = 0?
The points (3, 0), (6, 4), and (-1, 3) form which type of triangle?
Find the equation of the line whose x-intercept is 3 and y-intercept is 4.
What is the distance between the points (sinθ, cosθ) and (cosθ, -sinθ)?
The pair of lines represented by x^2 - 5xy + 6y^2 = 0 are: