Question

1. Write the coordinates of each of the points P, Q, R, S, T and O from the figure given.

Q.2: Plot the following points and check whether they are collinear or not:

(i) (1, 3), (– 1, – 1), (– 2, – 3)

(ii) (1, 1), (2, – 3), (– 1, – 2)

(iii) (0, 0), (2, 2), (5, 5)

Q.3: Without plotting the points indicate the quadrant in which they will lie, if

(i) the ordinate is 5 and abscissa is – 3

(ii) the abscissa is – 5 and ordinate is – 3

(iii) the abscissa is – 5 and ordinate is 3

(iv) the ordinate is 5 and abscissa is 3

Q.4: See figure and write the following:

I)The coordinates of B.
ii) The coordinates of C.
iii )The point identified by the coordinates (–3, –5).
iv )The point identified by the coordinates (2, – 4).
v) The abscissa of the point D.
vi )The ordinate of the point H.
vii )The coordinates of the point L.
viii )The coordinates of the point M.

Class 9 Mathematics Chapter 3 .​

Answer 1

Step-by-step explanation:

Answers:-

Q:2

Refer the above attachment

I) Collinear points

ii)not Collinear points

iii) Collinear points

Q-3:-

1)(-3,5) lies in Q2

2)(-5,-3) lies in Q3

3)(-5,3) lies in Q2

4)(3,5) lies in Q 1

Q-4:-

1) The coordinates of B=(-3,-5)

2) The coordinates of C = (5,-5)

3)The point identified by the coordinates (–3, –5)

=Point B

iv )The point identified by the coordinates (2, – 4)

=Point G

v) The abscissa of the point D = 6

vi )The ordinate of the point H = -3

vii )The coordinates of the point L= (0,5)

viii )The coordinates of the point M=(-3,0)

Answer 2

Q1 :-

Coordinates of points " P , Q , R , S , T and O " are not Given .

Q3 :-

( i ) x = - 3 , y = 5

This point will lie in 2nd Quadrant .

( ii ) x = - 5 , y = - 3

This point will lie in 3rd Quadrant .

( iii ) x = - 5 , y = 3

This point will lie in 2nd Quadrant .

( iv ) x = 3 , y = 5

This point will lie in 1st Quadrant .

Q4 :-

( i ) ( - 3 , - 5 )

( ii ) ( 5 , - 5 )

( iii ) B

( iv ) G

( v ) 6 .

( vi ) - 3 .

( vii ) ( 0 , 5 )

( viii ) ( - 3 , 0 )

Q2 :-

( i ) Yes , The points are collinear .

( ii ) No , The points are not collinear .

( iii ) Yes , The points are collinear .

Additional Information :-

We can Find the Quadrant in which the given points lie if we knows the sign of the given absiccsa and ordinate respectively :-

1st Quadrant :- ( + , + )

2nd Quadrant :- ( - , + )

3rd Quadrant :- ( - , - )

4th Quadrant :- ( + , - )

Collinear Points :-

The points which lie in a straight line are said to be colinear .

Note :- If the answer seems wrong to you kindly use the comment section.