ID : in-9-Coordinate-Geometry [1]
Class 9
Coordinate Geometry
For more such worksheets visit www.edugain.com
Answer t he quest ions
(1)
Find the coordinates of the point shown in the picture.
(2)
Find the coordinates of points which lies on y-axis at a distance of 7 units f rom origin in the
positive direction of y-axis.
(3)
Find the coordinate of point whose abscissa is 5 and which lies on x-axis.
(4) Find the distance of point (7, 4) f rom x-axis.
Choose correct answer(s) f rom given choice
(5)
Which of the points J(12, 0), K(-10, 0), L(0, 14) and M(0, 14) lie on y axis.
a. M and L
b. L and J
c. K and J
d. M and K
(C) 2016 Edugain (www.Edugain.com)
Personal use only, commercial use is strictly prohibited
ID : in-9-Coordinate-Geometry [2]
(6) Find the resultant shape obtained by connecting points (15, 25) (-10, 25) (0, 5) and (-25, 5).
a. Square
b. Rectangle
c. Parallelogram
d. Rhombus
(7) T wo distinct points in a plane determine _________ line.
(8)
a. T hree
b. T wo
c. Inf inite
d. One unique
T he points in which abscissa and ordinate have same sign will lie in
a. Second and T hird quadrants
b. First and Fourth quadrants
c. First and T hird quadrants
d. Second and Fourth quadrants
(9) Point (6, 5) lies in which quadrant?
a. Second quadrant
b. Fourth quadrant
c. First quadrant
d. T hird quadrant
(10) Find the coordinates of the point shown in the picture.
a. (4, 3)
b. (40, 30)
c. (30, 40)
d. (3, 4)
(C) 2016 Edugain (www.Edugain.com)
Personal use only, commercial use is strictly prohibited
ID : in-9-Coordinate-Geometry [3]
(11) If coordinates of the point shown in the picture are (p+35, p+15), f ind the value of p.
a. -60
b. -40
c. -45
d. -50
(12) A point both of whose coordinates are negative will lie in
a. Second quadrant
b. T hird quadrant
c. Fourth quadrant
d. First quadrant
(13) Signs of the abscissa and ordinate of a point in the second quadrant are respectively
a. - , +
b. + , +
c. - , -
d. +, -
(14) T wo distinct __________ in a plane can not have more than one point in common.
a. Planes
b. Both lines and points
c. Lines
d. Points
Fill in t he blanks
(15) Pranav and Ashish deposit some amount in joint back account such that total balance remains
2000. If amount deposited by Pranav and Ashish are plotted as linear graph on x-y plane, the
area between this graph and coordinate axes =
(C) 2016 Edugain (www.Edugain.com)
.
Personal use only, commercial use is strictly prohibited
ID : in-9-Coordinate-Geometry [4]
© 2016 Edugain (www.edugain.com).
Many more such worksheets can be
All Rights Reserved
generated at www.edugain.com
(C) 2016 Edugain (www.Edugain.com)
Personal use only, commercial use is strictly prohibited
ID : in-9-Coordinate-Geometry [5]
Answers
(1)
(-4 , 2.5)
Step 1
In order to f ind the coordinates of the point shown in the picture, let's draw a horizontal
and a vertical line which connect this point to the y and x axis respectively.
Step 2
We can see that the vertical line intersects the x-axis at -4. T heref ore, the x-coordinate of
the point is -4.
Step 3
Similarly, the horizontal line intersects the y-axis at 2.5. T heref ore, the y-coordinate of the
point is 2.5.
Step 4
Hence the coordinates of the given point are (-4, 2.5)
(2)
(0, 7)
Note that if the point lies on the y-axis, then the x coordinate will be 0.
T he value of the y coordinate will be 7 if it lies in the positive direction, and -7 if it lies in the
negative direction.
(C) 2016 Edugain (www.Edugain.com)
Personal use only, commercial use is strictly prohibited
ID : in-9-Coordinate-Geometry [6]
(3)
(5,0)
T he key to note is that the f irst value that represents a point is called the abscissa, and the
second value is called the ordinate.
T he second point to remember is that if a point lies on the x-axis, then the ordinate value is
0.
Here we are given the abscissa value, and told that the point lies on the x axis, so the
answer is (5,0)
(4) 4
T he simplest way to solve it is to remember that the abscissa - the f irst value - is the
position "on" the x axis, and the ordinate is the value "on" the y axis
What this means is that the f irst value is the distance away f rom the y axis, and the ordinate
is the distance away f rom the x axis.
Also remember to remove the sign - the distance is always positive
(5)
a. M and L
A point lying on the X axis will have the abscissa as 0, and a point lying on the Y axis will
have the ordinate as 0.
Looking at the points here, we see points M and L will theref ore lies on the y axis
(C) 2016 Edugain (www.Edugain.com)
Personal use only, commercial use is strictly prohibited
ID : in-9-Coordinate-Geometry [7]
(6) d. Rhombus
Step 1
We can draw these points and connect them on graph paper as f ollowing
Step 2
Now we notice f ollowing in this shape,
1. All sides are equal
2. Opposite sides are parallel to each other
Step 3
T hese are the properties of Rhombus, theref ore this shape is a Rhombus
(C) 2016 Edugain (www.Edugain.com)
Personal use only, commercial use is strictly prohibited
ID : in-9-Coordinate-Geometry [8]
(7) d. One unique
Step 1
Following f igure shows a line, that is drawn through two distinct points A and B.
If we try to draw another line, it will not go through both A and B.
Step 2
T heref ore only one line can be drawn through two points
(8)
c. First and T hird quadrants
T here is a very simple mental map f or this.
In the f irst quadrant, both the abscissa and ordinate (x,y) are positive.
In the second quadrant, the abscissa is negative , and the ordinate is positive (-x,y).
In the third quadrant, both numbers are negative (-x,-y).
In the f ourth quadrant, the abscissa is positive and the ordinate is negative (-x,-y).
Based on this, we f ind the answer to the question is First and T hird quadrants
(C) 2016 Edugain (www.Edugain.com)
Personal use only, commercial use is strictly prohibited
ID : in-9-Coordinate-Geometry [9]
(9) c. First quadrant
Step 1
T here is a very simple mental map f or this.
You need to go in the anticlockwise direction f or this.
If both the numbers are positive (i.e. in the f orm (x,y), then the point lies in the f irst
quadrant.
If the f irst number is negative, and the second is positive (-x,y), it lies in the second
quadrant.
If both numbers are negative (-x,-y), it lies in the 3rd quadrant.
If the f irst is positive and the second is negative (x,-y), it lies in the 4th quadrant.
Step 2
Here the f irst number is positive, and the second is positive, so it lies in the First quadrant.
(C) 2016 Edugain (www.Edugain.com)
Personal use only, commercial use is strictly prohibited
ID : in-9-Coordinate-Geometry [10]
(10) b. (40, 30)
Step 1
In order to f ind the coordinates of the point shown in the picture, let's draw a horizontal
and a vertical line which connect this point to the y and x axis respectively.
Step 2
We can see that the vertical line intersects the x-axis at 40. T heref ore, the x-coordinate of
the point is 40.
Step 3
Similarly, the horizontal line intersects the y-axis at 30. T heref ore, the y-coordinate of the
point is 30.
Step 4
Hence the coordinates of the given point are (40, 30).
(11) d. -50
From observation we see that the point def ined is (-15,-35)
We are told that
-15 = p + 35, and
-35 = p + 15
From either of these equations we can see that p = -50
(C) 2016 Edugain (www.Edugain.com)
Personal use only, commercial use is strictly prohibited
ID : in-9-Coordinate-Geometry [11]
(12) b. T hird quadrant
T here is a very simple mental map f or this.
You need to go in the anticlockwise direction f or this.
If both the numbers are positive (x,y), then the point lies in the f irst quadrant.
If the f irst number is negative , and the second is positive (-x,y), it lies in the second
quadrant.
If both numbers are negative (-x,-y), it lies in the 3rd quadrant.
If the f irst is positive and the second is negative (x,-y), it lies in the 4th quadrant.
Here both values are negative, theref ore it will lie in the T hird quadrant
(13) a. - , +
T he key to solving such questions is to build a mental map of the quadrants.
When both abscissa and ordinate are positive values (x,y), then the point is in the f irst
quadrant.
From there we go anticlockwise.
When abscissa is negative and ordinate is positive (-x,y), it is in quadrant two.
When both are negative (-x,-y), it is quadrant three.
When abscissa is positive and ordinate is negative, the point is in quadrant f our
(14) c. Lines
Step 1
Following f igure shows the lines AB and CD, intersected at the point E.
Step 2
From the given f igure it is clear that, the two distinct lines can intersect at a single point
only and hence, we can say that the two distinct lines in a plane can not have more than
one point in common.
(15)
2000000
(C) 2016 Edugain (www.Edugain.com)
Personal use only, commercial use is strictly prohibited