Maths · Chapter 28
Coordinate Geometry PYQs
Geometry with an address for every point. Once you can read (x, y), lines and triangles become simple arithmetic.
Points, axes and reflection: does a point lie on a line? 7 PYQs
- Which of the following equations represents a horizontal line?SSC Selection Post 2026 · 17 Sep 2026
- A line has the equation y = 2x + 5. A mirror is placed along the x-axis. What is the equation of the reflected line?Other exams 2026 · 16 Jan 2026
- The line y = −x + 4 passes through which of the following points?SSC CGL 2025 · 12 Sep 2025
- Which of the following equations represents a line that does not cross the x-axis?SSC Selection Post 2025 · 28 Jul 2025
- The graph of y = 4x − 5 passes through which point?SSC CGL 2025 · 19 Sep 2025
- Which point lies on y = −3x + 7?SSC CGL 2025 · 19 Sep 2025
- If x² + y² − 12x + 18y + 117 = 0, then the value of x² + y² is:RRB NTPC 2025 · 24 Jun 2025
Centroid of a triangle: the average of the three vertices 9 PYQs
- An architect is dividing a triangular plot of land with vertices at A(0, 0), B(6, 0), and C(3, 6) to place a central fountain. He wants to position…Other exams 2026 · 16 Jan 2026
- If a triangle has vertices A(0, 0), B(4, 0), and C(0, 3), what are the coordinates of the centroid?Other exams 2026 · 21 Jan 2026
- If the median from vertex A to side BC is 9 cm, what is the distance from A to the centroid G?Other exams 2026 · 21 Jan 2026
- A farmer owns a triangular plot of land with coordinates A(2, 3), B(8, 3), and C(5, 9). He wants to place a scarecrow at the centroid of the field.…SSC CHSL 2025 · 24 Nov 2025
- A triangle has vertices at A(0, 0), B(4, 0), and C(2, 6). What is the centroid of the triangle?SSC CHSL 2025 · 30 Nov 2025
- Find the coordinates of the centroid for a triangle with vertices located at the points (2, 1), (5, 4), and (8, 1).SSC CPO 2025 · 11 Dec 2025
- The centroid of a triangle with vertices (0, 0), (6, 0), and (0, 8) is:SSC CPO 2025 · 10 Dec 2025
- In △ABC, the coordinates of the vertices are A(1, 1), B(5, 5), and C(1, 9). Find the coordinates of the centroid.SSC CHSL 2025 · 13 Nov 2025
- A triangle has vertices with coordinates A(1, 2), B(5, 2) and C(3, 8). What is the y-coordinate of its centroid?SSC CHSL 2025 · 21 Nov 2025
Circumcentre, orthocentre, incentre and the Euler line 1 PYQs
Parallel and perpendicular lines (and the perpendicular bisector) 3 PYQs
- Which of the following lines passes through the origin and forms a 90° angle with the line whose angle of inclination is 30°?SSC Selection Post 2026 · 18 Sep 2026
- Two lines are planned such that the equations representing their paths are: (k−4)x + 2y = 6 and 2x + y = 4. If the lines are to be constructed…RRB Group D 2026 · 02 Feb 2026
- Find the equation of the line that passes through the point (2.25, 3.5) and is perpendicular to the line that passes through the points (1.25, 2.5)…Other exams 2026 · 09 Jan 2026