Coordinate Geometry
Cartesian system of rectangular coordinates in a plane; distance formula; section formula; locus and its equation; slope of a line; parallel and perpendicular lines; intercepts of a line on coordinate axes; various forms of equations of a line; distance of a point from a line; circle; conic sections — parabola, ellipse, hyperbola in standard form.
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Take a full mock →Q1 · Coordinate Geometry · EASY
A line passes through the points A(2, 3) and B(5, 7). What is the slope of the line perpendicular to AB?
Q2 · Coordinate Geometry · MEDIUM
The equation of a circle is x² + y² - 6x + 4y - 12 = 0. What is the radius of this circle?
Q3 · Coordinate Geometry · MEDIUM
Find the distance of the point P(4, 3) from the line 3x + 4y - 10 = 0.
Q4 · Coordinate Geometry · EASY
A parabola has its vertex at the origin and focus at (0, 3). What is the equation of the parabola?
Q5 · Coordinate Geometry · HARD
An ellipse has its center at origin, major axis along the x-axis with length 10, and minor axis with length 6. A point P lies on the ellipse. If the sum of distances from P to the two foci is k, then k equals: