Class 9 Exam > Class 9 Notes > Ex 3.2 NCERT Solutions - Coordinate Geometry
NCERT Solutions for Class 8 Maths Chapter 7 - Ex 3.2 Coordinate Geometry
Q1. Write the answer to each of the following questions:
(i) What is the name of horizontal and vertical lines drawn to determine the position of any point in the Cartesian plane?
(ii) What is the name of each part of the plane formed by these two lines?
(iii) Write the name of the point where these two lines intersect.
Ans:
(i) The horizontal line: x-axis
The vertical line: y-axis
(ii) Each part is called Quadrant
(iii) Origin
Q2. See the figure given below and write the following:
(i) The coordinates of B.
(ii) The coordinates of C.
(iii) The point identified by the coordinates (–3, –5).
(iv) The point identified by the coordinates (2, –4).
(v) The abscissa of point D.
(vi) The ordinate of the point H.
(vii) The coordinates of the point L.
(viii) The coordinates of the point M.
Ans: From the figure, we have
(i) The coordinates of B are (–5, 2)
(ii) The coordinates of C are (5, –5)
(iii) The point E is identified by the coordinates (–3, –5)
(iv) Point G is identified by the coordinates (2, –4)
(v) The abscissa of point D is 6.
(vi) The ordinate of the point H is –3.
(vii) The coordinates of the point L are (0, 5)
(viii) The coordinates of the point M are (–3, 0)
FAQs on NCERT Solutions for Class 8 Maths Chapter 7 - Ex 3.2 Coordinate Geometry
| 1. What is coordinate geometry? |  |
Ans. Coordinate geometry is a branch of mathematics that combines algebra and geometry. It deals with the study of geometrical shapes using the coordinate system, where points are represented by ordered pairs of numbers called coordinates.
| 2. How are coordinates represented in coordinate geometry? | |
Ans. In coordinate geometry, coordinates are represented by ordered pairs (x, y). The x-coordinate represents the position of a point on the horizontal x-axis, while the y-coordinate represents the position on the vertical y-axis. Together, they determine the location of a point in the coordinate plane.
| 3. How can we find the distance between two points in coordinate geometry? | |
Ans. The distance between two points in coordinate geometry can be found using the distance formula. The formula is derived from the Pythagorean theorem and is given as √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points.
| 4. What is the slope of a line in coordinate geometry? | |
Ans. The slope of a line in coordinate geometry represents the steepness or inclination of the line. It is defined as the ratio of the vertical change (change in y-coordinates) to the horizontal change (change in x-coordinates) between two points on the line. The slope can be calculated using the formula (y2 - y1) / (x2 - x1).
| 5. How can we find the equation of a line in coordinate geometry? | |
Ans. The equation of a line in coordinate geometry can be found using various methods, such as the slope-intercept form, point-slope form, or two-point form. The slope-intercept form is given as y = mx + c, where m is the slope and c is the y-intercept. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) is a point on the line. The two-point form is given as (y - y1) / (x - x1) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two different points on the line.
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