CLASS 10 · CHAPTER 07

Coordinate Geometry
Practice Questions

20 curated NCERT & Board Exam questions to test your understanding. Click on "Show Solution & Answer" to check step-by-step working.

20Questions

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Q1MCQ1 Mark

Distance between points A(2, 3) and B(4, 1) is:

Q2MCQ1 Mark

Coordinates of midpoint of line segment joining A(-2, 8) and B(-6, -4) are:

Q3MCQ1 Mark

Point P(x, y) divides line segment joining A(x₁, y₁) and B(x₂, y₂) in ratio m₁ : m₂. x-coordinate is:

Q4MCQ1 Mark

Distance of point P(-6, 8) from the origin is:

Q5Assertion-Reason1 Mark

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.

Q6Assertion-Reason1 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.

Q7Short Answer2 Marks

Find a relation between x and y such that point (x, y) is equidistant from (7, 1) and (3, 5).

Q8Short Answer2 Marks

Find coordinates of point which divides join of (-1, 7) and (4, -3) in ratio 2 : 3.

Q9Short Answer2 Marks

Find ratio in which y-axis divides line segment joining (5, -6) and (-1, -4).

Q10Short Answer2 Marks

If (1, 2), (4, y), (x, 6) and (3, 5) are vertices of parallelogram in order, find x and y.

Q11Short Answer2 Marks

Find coordinates of point A, where AB is diameter of circle whose centre is (2, -3) and B is (1, 4).

Q12Long Answer3 Marks

Find coordinates of points of trisection of line segment joining (4, -1) and (-2, -3).

Q13Long Answer3 Marks

Find center of circle passing through points (6, -6), (3, -7) and (3, 3).

Q14Long Answer3 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.

Q15Long Answer3 Marks

Find area of rhombus if vertices are (3,0), (4,5), (-1,4), (-2,-1) in order.

Q16Case Study4 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.

Q17Case Study4 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.

Q18PYQ5 Marks

Find ratio in which line 2x + y - 4 = 0 divides line segment joining A(2, -2) and B(3, 7).

Q19PYQ5 Marks

If A(-5,7), B(-4,-5), C(-1,-6) and D(4,5) are vertices of quadrilateral, find its area.

Q20PYQ5 Marks

Coordinate Geometry Practice Questions