Coordinate Geometry & Vectors

JKSSB Panchayat Account Assistant · Mathematics/Statistics · 16 practice questions with answers and explanations: 4 Easy, 6 Medium, 6 Hard.

Sample questions

Sample Easy question 1

What is the midpoint of the line segment joining (2,4) and (6,8)?

  1. (3, 5)
  2. (5, 7)
  3. (4, 6)
  4. (4, 4)
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Answer: C. Midpoint = ((2+6)/2, (4+8)/2) = (4, 6).

Sample Medium question 2

The point dividing the join of (2, 3) and (8, 9) internally in the ratio 1 : 2 is:

  1. (5, 6)
  2. (4, 5)
  3. (6, 7)
  4. (3, 4)
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Answer: B. Section formula: ((1·8 + 2·2)/3, (1·9 + 2·3)/3) = (12/3, 15/3) = (4, 5).

Sample Hard question 3

The centroid of the triangle with vertices (1, 2), (3, 4) and (5, 0) is:

  1. (9, 6)
  2. (3, 3)
  3. (3, 2)
  4. (2, 3)
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Answer: C. Centroid = ((1 + 3 + 5)/3, (2 + 4 + 0)/3) = (3, 2).

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