Worksheet on Collinearity of 3 Points

Practice the questions given in the worksheet on collinearity of three points using the equation of a line.

1. Find the equation of the straight line passing through the points (3, - 4) and (1, 2) and hence show that the three points (3 ,-4), (1, 2 ) and (2, - 1) are collinear.

2. Show that the points (1, - 1), (5, 5) and (- 3, - 7) are collinear.

Also find the equation of the line on which they lie.

3. Prove that the points (2, -3), (1, 2) and (0, 7) are collinear.

Also, find the equation of the line on which the points lie.

4. Prove that the points (3, 1), (5, -5) and (- 1, 13) are collinear.

Find the equation of the straight line on which the points lie.   

5. If the point (h, -2) is collinear with the points (2, 2) and (-3, 1) then find the value of h.

Also, find the slope of the line containing the three points.

6. Show that the points (-1, 3), (0, 2) and (1, 1) are collinear.

Also find the equation of the line on which they lie.

Answers for the worksheet on collinearity of three points are given below:

Answers:

1. 3x + y = 5  

2. 3x - 2y = 5

3. 5x + y - 7 =0

4. 3x + y = 10.

5. h = - 18 and slope = \(\frac{1}{5}\)

6. x + y - 2 = 0

● Equation of a Straight Line

• Inclination of a Line
• Slope of a Line
• Intercepts Made by a Straight Line on Axes
• Slope of the Line Joining Two Points
• Equation of a Straight Line
• Point-slope Form of a Line
• Two-point Form of a Line
• Equally Inclined Lines
• Slope and Y-intercept of a Line
• Condition of Perpendicularity of Two Straight Lines
• Condition of parallelism
• Problems on Condition of Perpendicularity
• Worksheet on Slope and Intercepts
• Worksheet on Slope Intercept Form
• Worksheet on Two-point Form
• Worksheet on Point-slope Form
• Worksheet on Collinearity of 3 Points
• Worksheet on Equation of a Straight Line

10th Grade Math

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