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Class 9 Maths Chapter 7 HOTS Questions - Coordinate Geometry

Question 1. From the following figure write:  
(i) the points whose abscissa is 0.
(ii) the points whose ordinate is 0. 
(iii) the points whose abscissa is –5

Class 9 Maths Chapter 7 HOTS Questions - Coordinate Geometry

In an ordered pair (x, y), the first entry ‘x’ is the abscissa and the second entry ‘y’ is the ordinate of the point. Let us prepare the following table of ordered pairs of the given points. Also let us write their respective abscissa and ordinate.
From the table we get:
(i) Points with abscissa = 0 are A, L, and O.  
(ii) Points with ordinate = 0 are G, I, and O.  
(iii) Points with abscissa = –5 are D, H.

The Point

Ordered pair

Abscissa

Ordinate

A

(0, 3)

0

3

B

(4, 4)

4

4

C

(3, 3)

3

3

D

(-5, 1)

-5

1

E

(2, 1)

2

1

F

(2, -1)

2

-1

G

(5, 0)

5

0

H

(-5, -3)

-5

-3

I

(-2, 0)

-2

0

J

(-6, 4)

-6

4

K

(-2, -5)

-2

-5

L

(0, -4)

0

-4

M

(4, -3)

4

-3

N

(3, -5)

3

-5

P

(-3, -5)

-3

5

O

(0, 0)

0

0

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FAQs on Class 9 Maths Chapter 7 HOTS Questions - Coordinate Geometry

1. What is coordinate geometry?
Ans. Coordinate geometry is a branch of mathematics that deals with the study of geometric figures using a coordinate system. It involves representing points, lines, curves, and shapes using numerical coordinates on a grid.
2. 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 formula is derived from the Pythagorean theorem and is given by: Distance = √((x2 - x1)^2 + (y2 - y1)^2) Where (x1, y1) and (x2, y2) are the coordinates of the two points.
3. What is the slope of a line in coordinate geometry?
Ans. The slope of a line in coordinate geometry is a measure of how steep the line is. It is the ratio of the vertical change (change in y-coordinates) to the horizontal change (change in x-coordinates) between any two points on the line. The slope can be calculated using the formula: Slope = (y2 - y1) / (x2 - x1) Where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
4. How do you find the equation of a line in coordinate geometry?
Ans. To find the equation of a line in coordinate geometry, you need the slope of the line and the coordinates of a point on the line. The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept (the y-coordinate of the point where the line intersects the y-axis). You can substitute the slope and the coordinates of the point into this equation to find the equation of the line.
5. What is the midpoint formula in coordinate geometry?
Ans. The midpoint formula is used to find the coordinates of the midpoint between two given points. It is given by: Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2) Where (x1, y1) and (x2, y2) are the coordinates of the two points. The midpoint is the point that lies exactly halfway between the two points.
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