Orienting Yourself: The Use of Coordinates — Class 9 solved problems
7 problems from this chapter, each solved step by step.
- The x-coordinate of the point which lies on the line represented by 3x - y - 1 = 0 and whose y-coordinate is 5, is:
The x -coordinate of the point is 2.
- Find the distance between the points (1, 2) and (4, 6).
The distance between the points (1, 2) and (4, 6) is 5 units.
- Show that the points (1, 7), (4, 2), (-1, -1) and (-4, 4) are the vertices of a square.
The points (1, 7), (4, 2), (-1, -1) and (-4, 4) are the vertices of a square because all four sides are equal in length and both diagonals are equal in length.
- The distance of ( - 4, 7) from y-axis is:
The distance of (-4, 7) from the y -axis is 4 units.
- Find the equations of the lines parallel to axes and passing through ( -2, 3).
The equations of the lines are y = 3 and x = -2.
- In the Cartesian coordinate plane shown, plot the points A(2,3), B(-2,-1), and C(2,-3), and connect them in order A→ B→ C. Then find the area of ABC.
The area of ABC is 12 square units.
- Find the distance between the points (3, 4) and (-3, -4).
The distance between the points (3, 4) and (-3, -4) is 10 units.
More Class 9 chapters
- Introduction to Linear Polynomials1 solved
- The World of Numbers2 solved
- Exploring Algebraic Identities2 solved
- I'm Up and Down, and Round and Round1 solved
- Measuring Space: Perimeter and Area4 solved
- The Mathematics of Maybe: Introduction to Probability7 solved
- Predicting What Comes Next: Exploring Sequences and Progressions1 solved