Free · Class 9–10 · 5 worksheets · answer keys · practise online · set 33

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 33
Name:Date:Score:    / 12

Write the quadrant or the axis.

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

Abscissa and ordinate

Class 9 · Worksheet 2 · set 33
Name:Date:Score:    / 12

Write the value.

  1. Ordinate of (−9, −4)
  2. Abscissa of (5, −7)
  3. Ordinate of (5, 5)
  4. Ordinate of (−9, −1)
  5. Ordinate of (−4, 8)
  6. Abscissa of (0, −5)
  7. Ordinate of (−5, 4)
  8. Ordinate of (−1, 3)
  9. Abscissa of (−5, 4)
  10. Abscissa of (−1, 7)
  11. Abscissa of (7, 0)
  12. Abscissa of (−2, −6)

Distance formula

Class 10 · Worksheet 3 · set 33
Name:Date:Score:    / 10

Find the distance (simplest surd form).

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

Mid-point

Class 10 · Worksheet 4 · set 33
Name:Date:Score:    / 10

Find the mid-point.

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

Section formula

Class 10 · Worksheet 5 · set 33
Name:Date:Score:    / 6

Find the coordinates of the point.

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

More worksheets

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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