Class 8 Exam > Class 8 Notes > Advance Learner Course: Mathematics (Maths) Class 8 > Value Based Questions (VBQs) - Coordinate Geometry
Class 8 Maths Chapter 7 Question Answers - Coordinate Geometry
Question 1. KGB schools provide free education to girls students from weaker sections. The local body of a town want to open a KGB school in the town for which a rectangular plot ABCD, as shown in the following figure, is very suitable. But this plot belongs to Rati Ram. Rati Ram agrees to exchange it with triangular plot PQR as shown in the same figure. The co-ordinates of the vertices of both the plots are shown in the figure:
(i) Compare the areas of both the plots.
(ii) Which mathematical concept is used in the above problem?
(iii) By opening KGB school in the town, which value is depicted by the local body?
Solution. (i) For rectangle ABCD:
AB = 8 – 2 = 6 units 
Length
AD = 12 – 8 = 4 units Breadth
∴ Area of rectangle ABCD = AB × AD
= 6 units × 4 units
= 24 sq. units.
For triangle PQR:
QR = 12 – 4 = 8 units Base
SP = 6 – 0 = 6 units Height
∴ Area of DPQR 
= 24 sq. units.
⇒ [area of rect. ABCD] = [area of ΔPQR]
(ii) Co-ordinate Geometry.
(iii) Community or social upliftment.
The document Class 8 Maths Chapter 7 Question Answers - Coordinate Geometry is a part of the Class 8 Course Advance Learner Course: Mathematics (Maths) Class 8.
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FAQs on Class 8 Maths Chapter 7 Question Answers - Coordinate Geometry
| 1. What is coordinate geometry? |  |
Ans. Coordinate geometry is a branch of mathematics that deals with the study of geometric shapes using numerical coordinates. It involves plotting points on a coordinate plane and analyzing their relationships, distances, and slopes.
| 2. How is coordinate geometry used in real life? | |
Ans. Coordinate geometry has various practical applications in real life. It is used in navigation systems, such as GPS, to determine the location of a vehicle or person. It is also utilized in computer graphics, engineering designs, and architecture for accurate measurements and representations of objects.
| 3. Can you explain the concept of slope in coordinate geometry? | |
Ans. In coordinate geometry, slope measures the steepness or inclination of a line. It is determined by the ratio of the vertical change (change in y-coordinates) to the horizontal change (change in x-coordinates) between two points on the line. Slope can be positive, negative, zero, or undefined, depending on the direction and nature of the line.
| 4. How do you find the distance between two points in coordinate geometry? | |
Ans. To find the distance between two points in coordinate geometry, you can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by the formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2). By substituting the coordinates of the given points into this formula, you can calculate the distance.
| 5. What are the different quadrants in a coordinate plane? | |
Ans. A coordinate plane is divided into four quadrants. Quadrant I is located in the upper right region, where both x and y coordinates are positive. Quadrant II is in the upper left, where x-coordinates are negative and y-coordinates are positive. Quadrant III is in the lower left, where both x and y coordinates are negative. Quadrant IV is in the lower right, where x-coordinates are positive and y-coordinates are negative. These quadrants help determine the position of points on the coordinate plane.
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