Class 10 Coordinate Geometry Board PYQs Hub
CBSE Board exam previous year questions on Coordinate Geometry. Practice distance formula problems, collinearity checks, internal section formula coordinates, midpoint coordinates, and centroid calculations with step-by-step solutions.
Class 10 Chapter 7 Coordinate Geometry Previous Year Questions
Use this chapter hub to revise Coordinate Geometry through topic-wise previous year questions. These links help students move from chapter-level revision to focused CBSE board exam practice.
Topic-wise PYQ Practice
CBSE Board Exam Blueprint & Topic Weightage: Coordinate Geometry
In the Class 10 CBSE Board Examination, Coordinate Geometry is a high-yielding component of Unit 3: Coordinate Geometry, consistently carrying 6 marks in the annual 80-mark written board paper. Recurring question formats observed over past board papers include:
- Section A (1 Mark MCQ): Distance of a point from origin \(\sqrt{x^2+y^2}\), distance from axes, or coordinates of midpoint of a line segment.
- Section B / C (2 or 3 Marks): Distance Formula \(d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\) applied to check collinearity of points, isosceles/equilateral triangles, or parallelogram properties.
- Section C / D (3 to 4 Marks): Section Formula for internal division: finding coordinates of points of trisection, finding the ratio in which the \(x\)-axis or \(y\)-axis divides a segment by assuming ratio \(k:1\).
Key Revision Tips & Common Pitfalls
When finding the ratio in which an axis divides a line segment, assume the ratio as \(k:1\). If dividing by the \(x\)-axis, set the \(y\)-coordinate of the point of division to \(0\); if by the \(y\)-axis, set the \(x\)-coordinate to \(0\). Always double-check negative signs inside square roots.