2D Coordinate Geometry Mock Tests

The angle between the lines y = 2x and y = 3x is:

The eccentricity of the hyperbola x²/4 − y²/5 = 1 is:

The equation of the line passing through (1, 2) and perpendicular to x + y = 3 is:

The equation of the line passing through (1, 2) with slope 3 is:

The area of the region bounded by the curves y = x² and y = 2x − x² is

The locus of the point of intersection of perpendicular tangents to the parabola y² = 4ax is

The equation of the tangent to the circle x² + y² = 25 at the point (3, 4) is

The eccentricity of the ellipse x²/25 + y²/16 = 1 is: