NCERT Class 9 Physics Coordinate Geometry Assessment CBSE Board Sample Problems (For CBSE, ICSE, IAS, NET, NRA 2022)

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1. State the quadrant for each of these points in Cartesian plane

a)

b)

c)

d)

e)

f) (

g)

Solution

We know the quadrant signs are given below

  • We require two perpendicular axes to locate a point in the plane. One of them is horizontal and other is Vertical
  • The plane is called Cartesian plane and axis are called the coordinates axis
  • The horizontal axis is called x-axis and Vertical axis is called Y-axis
  • The point of intersection of axis is called origin.
  • The distance of a point from y axis is called x — coordinate or abscissa and the distance of the point from x — axis is called y — coordinate or Ordinate
  • The x-coordinate and y — coordinate of the point in the plane is written as (X, y) for point and is called the coordinates of the point
  • The Origin has zero distance from both x-axis and y-axis so that its abscissa and ordinate both are zero. So the coordinate of the origin is (0,0)
  • A point on the x — axis has zero distance from x-axis so coordinate of any point on the x-axis will be (X, 0)
  • A point on the y — axis has zero distance from y-axis so coordinate of any point on the y-axis will be (0, Y)
  • The axes divide the Cartesian plane in to four parts. These Four parts are called the quadrants
  • The coordinates of the points in the four quadrants will have sign according to the below table
We Know the Quadrant Signs Are Given Below
Quadrantx-coordinatey-coordinate
1st Quadrant++
2nd quadrant-+
3rd quadrant--
4th quadrant+-

So we can easily find the quadrant for each of these points

2. Plot the following points in the Cartesian plane

a)

b)

c)

d)

Also find which of these three lie are collinear

3) True or False statement

a) x — coordinate is positive in 1st and 3rd quadrants

b) The (0,0) is the coordinate of origin

C) The point (0,2) lies on y axis

d) The ordinate of the point Q (2,3) is 2

e) Abscissa of all points on y axis is zero

f) The points P (2,3) and Q (-3,2) lie in the same quadrant

Solution

a) False, x-axis is positive in I and IV quadrant

b) True

c) True

d) False

e) True

f) False

Multiple choice Questions

4) The perpendicular distance of the point X (5,6) from X axis is

a) 5

b) 6

c) 4

d) 1

Solution (b)

5. The perpendicular distance of the point X (2,3) from Y axis is

a) 2

b) 3

C) 5

d) None of these

Solution (a)

6) The points (other than origin) whose abscissa and ordinates are same will lie in

a) I and III quadrants

b) II and III quadrants

C) II quadrants only

d) None of these

Solution (a)

7) The positive abscissa lies in which quadrants

a) I

b) II

c) III

d) IV

Solution (a) , (d)

8) Ordinate of all the points on x-axis is

a) O

b) 1

C) 2

d) Any number

Solution (a)

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