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Class 9 Maths Chapter 7 Question Answers - Coordinate Geometry

Question 1. Look at the following figure and fill in the blanks: 
(i) The abscissa and the ordinate of the point B are ____ and ____ respectively. Hence, the coordinates of B are (____, ____). 
(ii) The x-coordinate and the y-coordiante of the point A are ____ and ____ respectively.
Hence, the coordinates of A are (____, ____). 
(iii) The x-coordinate and the y-coordinate of the point D are ____ and ____ respectively.
Hence, the coordinates of D are (____, ____).

Class 9 Maths Chapter 7 Question Answers - Coordinate Geometry

Solution: (i) The abscissa and the ordinate of the point B are –3 and 3 respectively. Hence, the coordinates of B are (–3, 3).
(ii) The x-coordinate and the y-coordinate of the point A are 4 and 2 respectively. Hence the coordinates of A are (4, 2).
(iii) The x-coordinate and y-coordiante of the point D are 6 and –2 respectively. Hence, the coordinates of D are (6, –2).


Question 2. Look at the following figure and answer the following: 
(i) What are the coordinates of the origin? 
(ii) What is the abscissa of P? 
(iii) What is the ordinate of Q? 
(iv) What is the x-coordinate of A? 
(v) What is the y-coordiante of B? 
(vi) Name the point determined by the coordiantes (–5, 3). 
(vii) Name the point determined by the coordinates (–1, –1). 
(viii) Name the point determined by the coordinates (–4, 0)

Class 9 Maths Chapter 7 Question Answers - Coordinate Geometry

Solution: (i) The coordinates of origin are (0, 0).
(ii) The abscissa of P is 3.
(iii) The ordinate of Q is 3.
(iv) The x-coordinate of A is –4.
(v) The y-coordinate of B is 1.
(vi) The point D is determined by (–5, 3).
(vii) The point C is determined by (–1, –1).
(viii) The point E is determined by (–4, 0).

 

Question 3. Draw X'OX and YOY' as axes on the plane of a paper and plot the points given below: (i) A(3, 5) (ii) B(2, –3) (iii) C(–4, –5) (iv) D(–6, 2)
Solution: We draw X'OX and YOY' as axes and fix convenient units. Starting from O, mark equal distances on OX, OX', OY and OY'. Now,

Class 9 Maths Chapter 7 Question Answers - Coordinate Geometry

(i) Starting from O, take (+3) units on the x-axis and then (+5) units on the y-axis to obtain the point A(3, 5).
(ii) Starting from 0, take (+2) units on the x-axis and then (–3) units on the y-axis to obtain B(2, –3).
(iii) Starting from 0, take (–4) units on the x-axis and then (–5) units on the y-axis to obtain C(–4, –5).
(iv) Starting from 0, take (–6) units on the x-axis and then (+2) units on the y-axis to obtain the point D(–6, 2).


Question 4. In which quadrants do the following points lie? 
(i) (5, –3) 
(ii) (–8, 4) 
(iii) (–3, –6) 
(iv) (5, 4)
Solution: (i) ∵ Points of type (+, –) lie in the 4th quadrant.
∴ Point (5, –3) lies in the quadrant IV.

(ii) ∵ Points of the type (–, +) lie in the 2nd quadrant.
∴ The point (–8, 4) lies in the quadrant II.

(iii) ∵ The points of the type (–, –) lie in the 3rd quadrant.
∴ The point (–3, –6) lies in the quadrant III.

(iv) ∵ The points of the type (+, +) lie in the 1st quadrant.
∴ The point (5, 4) lies in the quadrant I.

The document Class 9 Maths Chapter 7 Question Answers - Coordinate Geometry is a part of the Class 9 Course Mathematics (Maths) Class 9.
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FAQs on Class 9 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 a coordinate system. It involves representing points, lines, curves, and shapes on a plane using numerical coordinates.
2. How do you 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 by √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points.
3. 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 ((x1 + x2)/2, (y1 + y2)/2), where (x1, y1) and (x2, y2) are the coordinates of the two points.
4. How do you determine if three points are collinear in coordinate geometry?
Ans. Three points are collinear in coordinate geometry if the slope of the line formed by any two of the points is equal to the slope of the line formed by the other two points. If the slopes are equal, then the three points lie on the same line.
5. What is the equation of a line in coordinate geometry?
Ans. The equation of a line in coordinate geometry can be written in various forms, such as slope-intercept form (y = mx + b), point-slope form (y - y1 = m(x - x1)), or general form (Ax + By + C = 0). These equations represent a straight line on a coordinate plane, where m represents the slope and (x1, y1) represents a point on the line.
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