NCERT/Class 10/Mathematics/Coordinate Geometry

Coordinate Geometry

Class 10 · Mathematics

73 questions26 easy27 medium20 hard

Sample Questions

Q1.If the points A(a, 0), B(0, b), C(1, 1) are collinear, then 1/a + 1/b =

  • A0
  • B1
  • C−1
  • D2

Q2.The distance between two points P(x₁, y₁) and Q(x₂, y₂) is:

  • A√[(x₂−x₁)² + (y₂−y₁)²]
  • B(x₂−x₁) + (y₂−y₁)
  • C√[(x₂+x₁)² + (y₂+y₁)²]
  • D(x₂−x₁)² + (y₂−y₁)²

Q3.Check if A(1,1), B(2,2), C(3,3) are collinear.

  • AYes, they are collinear
  • BNo, they form a triangle
  • CThey form a right triangle
  • DCannot be determined

Q4.Point P(x, y) divides AB where A(−2, 2) and B(3, 7) externally in ratio 2:3. Find x.

  • A−16
  • B−8
  • C8
  • D16

Q5.Find the ratio in which point (11, 15) divides the line segment joining (15, 5) and (9, 20).

  • A1:2
  • B2:1
  • C3:1
  • D1:3

Q6.This is a sample question to preview what you'll get in the full practice test...

  • A. Option one
  • B. Option two
  • C. Option three
  • D. Option four
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Concepts Covered

Area of triangleCentroid of triangleCollinearity of pointsCoordinate geometry applicationsDistance formulaMidpoint formulaSection formula

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