- Choose the correct alternative answer for the following questions:
Click on the question to view the answer
Click on the question to view the answer
The correct option is: (C) (a, 0)
The correct option is: (A) (a, a)
The correct option is: (B) y = 0
The correct option is: (C) Third
The equation of a line parallel to the X-axis is in the form y = b.
All the given points have the same y-coordinate (5), which means they lie on a horizontal line.
∴ The correct option is: (C) Parallel to X-axis
In the fourth quadrant, the x-coordinate is positive and the y-coordinate is negative.
∴ The correct option is: (B) Q and R
2. Some points are shown in the figure 7.11. With the help of it, answer the following questions:
Solution:
- Write the co-ordinates of the points Q and R.
→ Q (− 2, 2) and R (4, − 1) - Write the co-ordinates of the points T and M.
→ T (0, − 1) and M (3, 0) - Which point lies in the third quadrant?
→ Point S - Which are the points whose x and y co-ordinates are equal?
→ Point O (Origin)
3. Without plotting the points on a graph, state in which quadrant or on which axes do the following points lie:
Solution:
| Sr. No. | Point | Quadrant / Axis |
|---|---|---|
| (i) | (5, − 3) | Fourth Quadrant |
| (ii) | (− 7, − 12) | Third Quadrant |
| (iii) | (− 23, 4) | Second Quadrant |
| (iv) | (− 9, 5) | Second Quadrant |
| (v) | (0, − 3) | Y-axis |
| (vi) | (− 6, 0) | X-axis |
4. Plot the following points on the one and the same co-ordinate system:
| (i) A (1, 3) | (ii) B (− 3, − 1) | (iii) C (1, − 4) |
| (iv) D (− 9, 5) | (v) E (0, − 3) | (vi) F (1, 0) |
Solution:
5. In the graph alongside, line LM is parallel to the Y-axis.
Solution:
- What is the distance of line LM from the Y-axis?
→ 3 units - Write the co-ordinates of the points P, Q and R.
→ P (3, 2), Q (3, − 1), R (3, 0) - What is the difference between the x-coordinates of the points L and M?
→ 3 − 3 = 0
6. How many lines are there which are parallel to X-axis and having a distance 5 units?
Solution:
There are two lines parallel to the X-axis and having a distance of 5 units from it.
The equations of those lines are y = 5 and y = − 5.
7*. If ‘a’ is a real number, what is the distance between the Y-axis and the line x = a?
Solution:
The distance between the Y-axis and the line x = a is | a | units.
This page was last modified on
17 March 2026 at 08:54