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Class 9 Maths Chapter 7 Question Answers - Coordinate Geometry

Question 1. What are the coordinates of A, B, C and D in the following figure?
Class 9 Maths Chapter 7 Question Answers - Coordinate Geometry
Solution: The coordinates of A are (–4, 3).
The coordinates of B are (4, 2).
The coordinates of C are (–3, –2).
The coordinates of D are (4, –2).
 

Question 2. Look at the following figure and answer the following:
(i) What is the abscissa of P?
(ii) What is the ordinate of Q?
(iii) What is the ordinate of R?
(iv) What is the abscissa of S?

Class 9 Maths Chapter 7 Question Answers - Coordinate Geometry

Solution: (i) The abscissa of P is –3.
(ii) The ordinate of Q is –2.
(iii) The ordinate of R is 2.
(iv) The abscissa of S is –5.
 

Question 3. Look at the following figure and answer the following:

Class 9 Maths Chapter 7 Question Answers - Coordinate Geometry

(i) Which point is having its ordinate as (–5)?
(ii) Which point is having abscissa as 4?
(iii) What are the coordinates of origin?
(iv) Which point is having abscissa as (–3)?
Solution: (i) The point B is having its ordinate as (–5).
(ii) The point C is having its abscissa as 4.
(iii) The coordinates of O are (0, 0).
(iv) The point A is having abscissa as (–3).


Question 4. Look at the following figure and answer the following:
(i) Which two points have the same abscissa?

(ii) Which two points have the same ordinate?

Class 9 Maths Chapter 7 Question Answers - Coordinate Geometry

Solution: (i) ∵ The abscissa of the point Q is 6.  
The abscissa of the point R is 6.
∴The points Q and R have the same abscissa.
(ii) ∵ The ordinate of P is (–3).  
The ordinate of R is (–3).
∴ The points P and R have the same ordinate.

Question 5. Read the coordinates of the vertices of the triangle ABC in the following figure:

Class 9 Maths Chapter 7 Question Answers - Coordinate Geometry

Solution: The vertices of the triangle are A, B and C.
The coordinates of A are (–6, 4).
The coordinates of B are (–3, –3).
The coordinates of C are (2, 2).
 

Question 6. Write the coordinates of quadrilateral PQRS as shown in the following figure:

Class 9 Maths Chapter 7 Question Answers - Coordinate Geometry

Solution: The vertices of the quadrilateral are P, Q, R and S.
The coordinates of P are (–4, 4).
The coordinates of Q are (8, 2).
The coordinates of R are (6, –3).
The coordinates of S are (–2, –2).
 

Question 7. Write the vertices of the following quadrilateral OBCD.

Class 9 Maths Chapter 7 Question Answers - Coordinate Geometry

Solution: The vertices of the quadrilateral are O, B, C and D.
The coordinates of O are (0, 0).
The coordinates of B are (4, 2).
The coordinates of C are (8, 0).
The coordinates of D are (4, –2).

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 the equation of a circle in coordinate geometry?
Ans. The equation of a circle in coordinate geometry is given by (x - h)^2 + (y - k)^2 = r^2, where (h, k) represents the coordinates of the center of the circle and r represents the radius.
2. How do you 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: √((x2 - x1)^2 + (y2 - y1)^2).
3. What is the midpoint formula in coordinate geometry?
Ans. The midpoint formula in coordinate geometry is used to find the coordinates of the midpoint between two points (x1, y1) and (x2, y2). The formula is: [(x1 + x2)/2, (y1 + y2)/2].
4. How can I determine if three points are collinear in coordinate geometry?
Ans. To determine if three points (x1, y1), (x2, y2), and (x3, y3) are collinear in coordinate geometry, calculate the slopes of the lines formed by each pair of points. If the slopes of all three lines are equal, then the points are collinear.
5. What is the equation of a line in slope-intercept form?
Ans. The equation of a line in slope-intercept form is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.
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