Question

4.Plot the following points in a graph sheet.
A(5,2), B(-7, - 3), C(-2,4), D(-1,-1), E(0, - 5), F(2,0), G(7, - 4), H(-4,0),I (2,3)j (8,-4),k (0,7).​

Answer 1

Answer:

ANSWER

Draw the x and y axes. Mark the units along the x and y axes with a suitable scale.

(i) To plot the point A (3 , 5)

Here, the x-coordinate of A is 3 and the y-coordinate of A is 5. Both are positive. Hence the point A (3 , 5) lies in the quadrant I. Start at the Origin. Move three units to the right along the x-axis. Then turn and move 5 units up parallel to Y-axis and mark the point A (3 , 5).

(ii) To plot the point B (2 , 7)

Here, the x-coordinate of B is -2 which is negative and the y-coordinate of B is 7 which is positive. Hence the point B (-2 , 7) lies in the quadrant II. Start at the Origin. Move 2 units to the left along the x-axis. Then turn and move 7 units up parallel to y-axis and mark the point B (-2 , 7).

(iii) To plot the point C (-3 , -5) Here, the x-coordinate of C is -3 and the y-coordinate of C is -5. Both are negative. Hence the point C (-3 , -5) lies in the quadrant III. Start at the Origin. Move 3 units to the left along the x-axis. Then turn and move 5 units down parallel to y-axis. and mark the point C (-3, -5).

(iv) To plot the point D (2 , 7)

Here, the x-coordinate of the point D is 2 which is positive and the y-coordinate of D is -7 which is negative. Hence the point D (2 , -7) lies in the quadrant IV. Start at the Origin. Move 2 units to the right along the x-axis. Then turn and move 7 units down parallel to y-axis and mark the point D (2 , -7).

(v) To plot the point O (0, 0)

This is the origin. Both the x and y coordinates are zeros. It is the point of intersection of the axes x and y. Mark the point O (0,0).

solution

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Answer 2

Given:

A set of points in the 2D coordinate system.

To Find:

The quadrant to which each point belongs.

Solution:

The given problem can be solved by using the concepts of 2D coordinate geometry.

1. Consider a point P (x, y) in the 2D coordinate system,

= > If both x and y are positive then the point lies in the first quadrant.

= > If both x and y are negative then the point lies in the third quadrant.

= > If x is positive and y is negative then the point lies in the fourth quadrant.

= > If x is positive and y is negative then the point lies in the second quadrant.

2. The given points are,

• (5,2) Both x and y are positive hence, it lies in the first quadrant.

• (-7, -3) Both x and y are negative hence, it lies in the third quadrant.

• (-2,4) x is negative and y is positive hence, it lies in the second quadrant.
• (-1, -1) Both x and y are negative hence, it lies in the third quadrant,

• (0, -5) lies on the y axis and does not belong to any of the quadrants,

• (2, 0) does not belong to any quadrant.

• (-4, 0) does not belong to any quadrant.

• (2, 3) both x and y are positive hence it belongs to the first quadrant.

• (8, -4) x is positive and y is negative hence, it belongs to the second quadrant.

• (0, 7) does not belong to any of the quadrants.