Class 9 Exam  >  Class 9 Notes  >  Mathematics (Maths) Class 9  >  Very Short Answer Type Questions- Coordinate Geometry

Class 9 Maths Question Answers - Coordinate Geometry

Question 1. A point (other than zero) is such that [The abscissa of the point] = [The ordinate of the point] In which quadrants can the point lie?
Solution: ∵ The coordinates have opposite signs in II and IV quadrants.
∴ the given point lies in I or III quadrant.

Question 2. A line ∠M is drawn parallel to X-axis at a distance of 5 units from it. On ∠M a point P is marked at a distances of 3 units from the Y-axis. What are the coordinates of P?
Solution: The line M can be above or below the x-axis
∴ co-ordiantes of P are (3, 5) or (–3, 5)

Question 3. Which of the following statements are true?
(i) The point (0, –4) lies on y-axis
(ii) The perpendicular distance of the point (5, 7) from the x-axis is 5.
(iii) Point (1, –1) and (–1, 1) lie in the same quadrant.
Solution: Only the statement (i) is true.
 

Question 4. What are the coordinates of origin?
Solution: (0, 0) are the coordinates of origin.
 

Question 5. What is the sign of y-coordinate below the x-axis?
Solution: It is always negative.
 

Question 6. What is the x-coordinate of a point on y-axis?
Solution: It is always ‘0’.
 

Question 7. In which quadrant the point (–2, 5) lies?
Solution: (–2, 5) lies in the II-quadrant.
 

Question 8. What is the sign of the y-coordinate of a point lying in the III-quadrant?
Solution: The y-coordinate of a point in III-quadrant is always negative.

Question 9. If the two points are A(–2, 7) and B(–3, 4) then what is (abscissa of A) – (abscissa of B)?
Solution: ∵ abscissa of A = – 2 and abscissa of B = – 3
∵ (– 2) – (– 3) = –2 + 3 =1

Question 10. If the y-coordinate of a point is zero, then where does this point lie?
Solution: It lies on the x-axis.

Question 11. What are the coordinates of a point lying on the y-axis at negative 3 units?
Solution: (0, –3)

Question 12. What are the coordinates of a point whose ordinate is 5 and lying on the y-axis.
Solution: (0, 5).

Question 13. In the following figure, which point has its abscissa as –3
Solution: The point p(–3, 3) has its abscissa as –3.

Class 9 Maths Question Answers - Coordinate Geometry

Question 14. Name the collinear points in the above figure?
Solution: The points P, O and R are collinear.

Question 15. What is the distance of the point (3, – 4) from x-axis?
Solution: –4 units.

Question 16. The origin lies on which of the following? x-axis only, both axis, none of the axes
Solution: The origin lies on both the axes.

Question 17. The abscissa of a point is 5 and it lies on the x-axis. What are its coordinates?
Solution: (5, 0).

Question 18. A point lies on the x-axis as well as on the y-axis. What are its coordinates?
Solution: (0, 0)

Question 19. In which quadrants x and y coordinates have different sign
Solution: II and IV quadrants.

Question 20. In which quadrants x and y coordinate have same sign?
Solution: I and III quadrants.

The document Class 9 Maths 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 Question Answers - 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, and shapes on a coordinate plane using ordered pairs of numbers.
2. How do you find the distance between two points using coordinate geometry?
Ans. To find the distance between two points A(x₁, y₁) and B(x₂, y₂) in coordinate geometry, we can use the distance formula: Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
3. What is the equation of a straight line in coordinate geometry?
Ans. The equation of a straight 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), where m represents the slope of the line.
4. How do you find the slope of a line given two points in coordinate geometry?
Ans. To find the slope of a line passing through two points A(x₁, y₁) and B(x₂, y₂) in coordinate geometry, we can use the formula: Slope (m) = (y₂ - y₁) / (x₂ - x₁)
5. How can coordinate geometry be applied in real-life situations?
Ans. Coordinate geometry has various real-life applications. It can be used in navigation systems to determine the shortest distance between two locations, in computer graphics to create and manipulate images, in architecture and engineering to design and analyze structures, and in physics to study motion and forces.
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