1 Mark
CBSE BOARD PYQS · CHAPTER 07
Coordinate Geometry
CBSE Most Repeated PYQs
Solve official CBSE Previous Year Board Questions (2015-2024) for Coordinate Geometry. Click on options to test yourself, or click "Show Solution & Answer" for complete step-by-step working.
1 Mark
Coordinates of midpoint of line segment joining A(-2, 8) and B(-6, -4) are:
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Point P(x, y) divides line segment joining A(x₁, y₁) and B(x₂, y₂) in ratio m₁ : m₂. x-coordinate is:
1 Mark
Distance of point P(-6, 8) from the origin is:
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Assertion (A): Point P(0, 4) lies on the y-axis. Reason (R): Every point on the y-axis has x-coordinate equal to zero.
1 Mark
Assertion (A): Points A(1, 2), B(2, 3), C(3, 4) are collinear. Reason (R): Three points A, B, C are collinear if distance AB + BC = AC.
2 Marks
Find a relation between x and y such that point (x, y) is equidistant from (7, 1) and (3, 5).
2 Marks
Find coordinates of point which divides join of (-1, 7) and (4, -3) in ratio 2 : 3.
2 Marks
Find ratio in which y-axis divides line segment joining (5, -6) and (-1, -4).
2 Marks
If (1, 2), (4, y), (x, 6) and (3, 5) are vertices of parallelogram in order, find x and y.
2 Marks
Find coordinates of point A, where AB is diameter of circle whose centre is (2, -3) and B is (1, 4).
3 Marks
Find coordinates of points of trisection of line segment joining (4, -1) and (-2, -3).
3 Marks
Find center of circle passing through points (6, -6), (3, -7) and (3, 3).
3 Marks
If P(x,y) is any point on line joining A(a,0) and B(0,b), show that x/a + y/b = 1.
3 Marks
Find area of rhombus if vertices are (3,0), (4,5), (-1,4), (-2,-1) in order.
4 Marks
Case Study Scenario: Class X students setup sports field. Four students sit at points A(3,4), B(6,7), C(9,4) and D(6,1). Question: Check if quadrilateral ABCD is a square.
4 Marks
Case Study Scenario: To conduct sports day activities in a rectangular field ABCD, lines drawn at 1m. Niharika runs 1/4th distance AD (100m) on 2nd line and posts green flag. Preet runs 1/5th distance on 8th line and posts red flag. Question: Find distance between both flags and midpoint coordinates.
5 Marks
Find ratio in which line 2x + y - 4 = 0 divides line segment joining A(2, -2) and B(3, 7).
5 Marks
If A(-5,7), B(-4,-5), C(-1,-6) and D(4,5) are vertices of quadrilateral, find its area.
5 Marks