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Free · Class 9–10 · 5 worksheets · answer keys · practise online · set 5

Coordinate geometry worksheets — Class 9 and 10

Free coordinate geometry worksheets: quadrants, abscissa and ordinate (Class 9), distance formula, mid-point and section formula (Class 10) — new points every set, with answers.

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Quadrants (Class 9)Abscissa and ordinate (Class 9)Distance formula (Class 10)Mid-point (Class 10)Section formula (Class 10)

Quadrants

Class 9 · Worksheet 1 · set 5
Name:Date:Score:    / 12

Write the quadrant or the axis.

  1. Where does the point (−5, −6) lie?
  2. Where does the point (−6, −3) lie?
  3. Where does the point (0, 1) lie?
  4. Where does the point (8, 1) lie?
  5. Where does the point (7, 6) lie?
  6. Where does the point (9, 0) lie?
  7. Where does the point (−7, −6) lie?
  8. Where does the point (9, −8) lie?
  9. Where does the point (3, 0) lie?
  10. Where does the point (−9, 0) lie?
  11. Where does the point (9, −7) lie?
  12. Where does the point (−2, 7) lie?

Abscissa and ordinate

Class 9 · Worksheet 2 · set 5
Name:Date:Score:    / 12

Write the value.

  1. Abscissa of (−7, −3)
  2. Ordinate of (3, −2)
  3. Ordinate of (3, −1)
  4. Abscissa of (−2, −3)
  5. Abscissa of (5, −6)
  6. Abscissa of (−6, 6)
  7. Abscissa of (−7, −2)
  8. Abscissa of (−6, 5)
  9. Ordinate of (−2, 4)
  10. Abscissa of (9, 1)
  11. Ordinate of (−5, 5)
  12. Ordinate of (8, 8)

Distance formula

Class 10 · Worksheet 3 · set 5
Name:Date:Score:    / 10

Find the distance (simplest surd form).

  1. Distance between (−2, −1) and (1, −7)
  2. Distance between (−6, 6) and (−6, −6)
  3. Distance between (4, −7) and (4, −5)
  4. Distance between (−3, 1) and (3, −1)
  5. Distance between (1, −4) and (−8, 1)
  6. Distance between (−6, −2) and (−4, −7)
  7. Distance between (1, −6) and (−1, −2)
  8. Distance between (0, 6) and (−4, 3)
  9. Distance between (3, 4) and (−7, 2)
  10. Distance between (−4, −8) and (−2, 6)

Mid-point

Class 10 · Worksheet 4 · set 5
Name:Date:Score:    / 10

Find the mid-point.

  1. Mid-point of (−1, −7) and (−6, −9)
  2. Mid-point of (−7, −6) and (9, 9)
  3. Mid-point of (3, −8) and (7, −6)
  4. Mid-point of (−6, 9) and (−8, 6)
  5. Mid-point of (0, 5) and (9, −5)
  6. Mid-point of (3, −9) and (4, −4)
  7. Mid-point of (7, −6) and (6, −1)
  8. Mid-point of (7, −9) and (−3, −5)
  9. Mid-point of (5, −2) and (−3, −9)
  10. Mid-point of (1, −4) and (9, 8)

Section formula

Class 10 · Worksheet 5 · set 5
Name:Date:Score:    / 6

Find the coordinates of the point.

  1. Point dividing the join of A(9, 2) and B(9, −8) in the ratio 1 : 4
  2. Point dividing the join of A(1, 2) and B(7, 5) in the ratio 1 : 2
  3. Point dividing the join of A(−9, 0) and B(−3, 0) in the ratio 1 : 2
  4. Point dividing the join of A(−7, 4) and B(2, −5) in the ratio 2 : 1
  5. Point dividing the join of A(3, 9) and B(3, −6) in the ratio 3 : 2
  6. Point dividing the join of A(−6, 6) and B(6, −6) in the ratio 2 : 1

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Questions

What is the distance of a point (x, y) from the origin?

√(x² + y²). For (3, 4) it is √(9 + 16) = 5.

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