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CBSE Class 10 Coordinate Geometry — practice questions — page 2

Explore 50 free Coordinate Geometry questions in CBSE Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Coordinate Geometry questions and exercises with answers

Showing questions 31–50 of 50.

Coordinate geometry was developed as an algebraic tool for studying:Read the answer and worked solution →A point that splits a line segment joining two points does so in a given:Read the answer and worked solution →Town B is 36 km east of town A and how far north of it?Read the answer and worked solution →The distance between the two towns is found using the theorem of:Read the answer and worked solution →For A(4, 0) and B(6, 0) on the x-axis, the distance AB is:Read the answer and worked solution →For two points not on the axes, the distance between them is found using:Read the answer and worked solution →The point O(0, 0) is called the:Read the answer and worked solution →In the relay tower problem, the tower's distance from B is ___ its distance from A.Read the answer and worked solution →The relay tower P divides AB in the ratio:Read the answer and worked solution →Taking A as origin and 1 km as one unit, B has coordinates:Read the answer and worked solution →The mid-point divides a line segment in the ratio:Read the answer and worked solution →In deriving the area formula, the figures ABQP, APRC and BQRC are all:Read the answer and worked solution →The area of a trapezium is half the sum of the parallel sides times the:Read the answer and worked solution →If AB plus BC equals AC for three points A, B and C, the points are:Read the answer and worked solution →Quick picks on coordinate geometryRead the answer and worked solution →Match each term to its meaningRead the answer and worked solution →Which axis is the point onRead the answer and worked solution →Distance or section formulaRead the answer and worked solution →Placing the relay towerRead the answer and worked solution →Spot the one that does not fitRead the answer and worked solution →

Worked practice questions

Coordinate geometry was developed as an algebraic tool for studying:

  1. Growth of plants
  2. Flow of rivers
  3. Geometry of figures
  4. Motion of planets
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Correct answer: C. Geometry of figures

1. Coordinates turn shapes into equations. 2. Algebra can then be used on them. 3. So it is a tool for studying the geometry of figures. _Source: syllabus Mathematics, Chapter 7, Coordinate Geometry._

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A point that splits a line segment joining two points does so in a given:

  1. Ratio
  2. Angle
  3. Curve
  4. Slope
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Correct answer: A. Ratio

1. The section formula finds such a point. 2. The point's position is fixed by how the two parts compare. 3. That comparison is a ratio. _Source: syllabus Mathematics, Chapter 7, Coordinate Geometry._

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Town B is 36 km east of town A and how far north of it?

  1. 10 km
  2. 15 km
  3. 36 km
  4. 12 km
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Correct answer: B. 15 km

1. The two towns are separated east and north. 2. The eastward distance is 36 km. 3. The northward distance is 15 km. _Source: syllabus Mathematics, Chapter 7, Coordinate Geometry._

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More Mathematics topics

Introduction to TrigonometryMensuration: Surface Areas & VolumesReal Numbers and PolynomialsArithmetic ProgressionStatistics and ProbabilityLinear Equations in Two VariablesQuadratic EquationsTriangles and Circles