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NCERT Solutions for Class 8 Maths Chapter 7 - Ex 3.3 Coordinate Geometry

Question 1. In which quadrant or on which axis do each of the points (–2, 4) (3, –1), (–1, 0), (1, 2) and (–3, –5) lie? Verify your answer by locating them on the Cartesian plane.
Solution: In the point (–2, 4), the abscissa is negative and the ordinate is positive.
∵ (–, +) belongs to 2nd quadrant.
∴ (–2, 4) lies in the second quadrant.
The point (3, –1) is having +ve abscissa and –ve ordinate.
∴ (3, –1) lies in the 4th quadrant.
The point (–1, 0) is having (–ve) abscissa and ordinate on the x-axis.
∴ The point (–1, 0) lies on the negative x-axis.
The point (1, 2) is having the x-coordiante as well as y-coordinate +ve.
∴ Point (1, 2) lies in the 1st quadrant.
The point (–3, –5) is having the abscissa as well as ordinate negative.
∴ Point (–3, –5) lies in the 3rd quadrant.
These points are plotted in the Cartesian plane as shown in the following figure as A(–2, 4); B(3, –1); C(–1, 0); D(1, 2) and E(–3, –5).

NCERT Solutions for Class 8 Maths Chapter 7 - Ex 3.3 Coordinate Geometry

Question 2. Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.

x-2-1013
y87-1.253-1

Solution: The given points are (–2, 8), (–1, 7), (0, –1.5), (1, 3) and (3, –1). To plot these points:

(i) We draw X'OX and YOY' as axes.
(ii) We choose suitable units of distance on the axes.
(iii) To plot (–2, 8), we start from O, take (–2) units on x-axis and then (+8) units on y-axis.
We mark the point as A(–2, 8).
(iv) To plot (–1, 7), we start from 0; take (–1) units on x-axis and then (+7) units on the yaxis. We mark the point as B(–1, 7).
(v) To plot (0, –1.25), we move along 1.25 units below the x-axis on the y-axis and mark the point as C(0, –1.25).
(vi) To plot (1, 3), we take (+1) unit on the x-axis and then (+3) units on the y-axis. We mark the point as D(1, 3).
(vii) To plot (3, –1), we take (+3) units on the x-axis and then (–1) unit on the y-axis. We mark the point E(3, –1).

NCERT Solutions for Class 8 Maths Chapter 7 - Ex 3.3 Coordinate Geometry

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FAQs on NCERT Solutions for Class 8 Maths Chapter 7 - Ex 3.3 Coordinate Geometry

1. What is coordinate geometry?
Ans. Coordinate geometry is a branch of mathematics that deals with the study of geometry using algebraic techniques. It involves representing points, lines, curves, and shapes on a coordinate plane using coordinates and equations.
2. How is coordinate geometry useful in real life?
Ans. Coordinate geometry finds its applications in various fields such as navigation systems, computer graphics, architecture, surveying, and physics. It helps in determining the position, distance, and direction between objects or locations accurately.
3. What are the different components of the coordinate plane?
Ans. The coordinate plane consists of two perpendicular axes, namely the x-axis and the y-axis. The point of intersection of these axes is called the origin. The x-axis represents the horizontal axis, while the y-axis represents the vertical axis.
4. How do we find the distance between two points on a coordinate plane?
Ans. The distance between two points (x1, y1) and (x2, y2) on a coordinate plane can be found using the distance formula: Distance = √((x2 - x1)^2 + (y2 - y1)^2)
5. How can we determine the slope of a line on a coordinate plane?
Ans. The slope of a line passing through two points (x1, y1) and (x2, y2) on a coordinate plane can be determined using the slope formula: Slope = (y2 - y1)/(x2 - x1)
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