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Class 9 Math Linear Graphs and their Applications 4. Draw the graph of the following(ii) y=7


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4. Draw the graph of the following(ii) y=7

3. Are the following lines (i) parallel to x -axis (ii) parallel to y -axis?(iv) x+y=0
3. Are the following lines (i) parallel to  x -axis (ii) parallel to  y -axis?(iv)  x+y=0

3. Are the following lines (i) parallel to x -axis (ii) parallel to y -axis?(iv) x+y=0

4. Draw the graph of the following(ii) y=7
4. Draw the graph of the following(ii)  y=7
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4. Draw the graph of the following(ii) y=7

Solve the following pair of equations in x and y graphically.3. 2 x+y=0 and x+2 y=2
Solve the following pair of equations in  x  and  y  graphically.3.  2 x+y=0  and  x+2 y=2

Solve the following pair of equations in x and y graphically.3. 2 x+y=0 and x+2 y=2

2. Draw the graph of each of the following.(xiii) x-3 y+1=0
2. Draw the graph of each of the following.(xiii)  x-3 y+1=0

2. Draw the graph of each of the following.(xiii) x-3 y+1=0

1. Draw the conversion graph between litres and gallons using the relation 9 litres =2 gallons (approximately) and taking litres along horizontal axis and gallons along vertical axis. From the graph read(i) the number of gallons in 18 litres
1. Draw the conversion graph between litres and gallons using the relation 9 litres  =2  gallons (approximately) and taking litres along horizontal axis and gallons along vertical axis. From the graph read(i) the number of gallons in 18 litres

1. Draw the conversion graph between litres and gallons using the relation 9 litres =2 gallons (approximately) and taking litres along horizontal axis and gallons along vertical axis. From the graph read(i) the number of gallons in 18 litres

6. Solve the following pair of equations graphically.(iii) \frac{1}{3}(x+y)=2 \frac{1}{2}(x-y)=-1
6. Solve the following pair of equations graphically.(iii)  \frac{1}{3}(x+y)=2  \frac{1}{2}(x-y)=-1

6. Solve the following pair of equations graphically.(iii) \frac{1}{3}(x+y)=2 \frac{1}{2}(x-y)=-1

(iv) Point (-3-3) lies in rant(a) \mathrm{I} (b) II(c) III(d) IV
(iv) Point  (-3-3)  lies in rant(a)  \mathrm{I} (b) II(c) III(d) IV

(iv) Point (-3-3) lies in rant(a) \mathrm{I} (b) II(c) III(d) IV

2. Draw the graph of each of the following.(v) y=0
2. Draw the graph of each of the following.(v)  y=0

2. Draw the graph of each of the following.(v) y=0

1. Draw the conversion graph between litres and gallons using the relation 9 litres =2 gallons (approximately) and taking litres along horizontal axis and gallons along vertical axis. From the graph read(ii) the number of litres in 8 gallons.
1. Draw the conversion graph between litres and gallons using the relation 9 litres  =2  gallons (approximately) and taking litres along horizontal axis and gallons along vertical axis. From the graph read(ii) the number of litres in 8 gallons.

1. Draw the conversion graph between litres and gallons using the relation 9 litres =2 gallons (approximately) and taking litres along horizontal axis and gallons along vertical axis. From the graph read(ii) the number of litres in 8 gallons.

2. Draw the graph of each of the following.(xi) 2 x-y=0
2. Draw the graph of each of the following.(xi)  2 x-y=0

2. Draw the graph of each of the following.(xi) 2 x-y=0

5. Verify whether the following point lies on the line 2 x-y+1=0 or not.(iv) (25)
5. Verify whether the following point lies on the line  2 x-y+1=0  or not.(iv)  (25)

5. Verify whether the following point lies on the line 2 x-y+1=0 or not.(iv) (25)

1. Choose the correct answer.(i) If (x-1 y+1)=(00) then (x y) is(a) (1-1) (b) (-11) (c) (11) (d) (-1-1)
1. Choose the correct answer.(i) If  (x-1 y+1)=(00)  then  (x y)  is(a)  (1-1) (b)  (-11) (c)  (11) (d)  (-1-1)

1. Choose the correct answer.(i) If (x-1 y+1)=(00) then (x y) is(a) (1-1) (b) (-11) (c) (11) (d) (-1-1)

ExampleSolve graphically the following linear system of two equations in two variables x and y ;\[\begin{array}{l}x+2 y=3 \\x-y=2\end{array}\]
ExampleSolve graphically the following linear system of two equations in two variables  x  and  y ;\[\begin{array}{l}x+2 y=3 \\x-y=2\end{array}\]

ExampleSolve graphically the following linear system of two equations in two variables x and y ;\[\begin{array}{l}x+2 y=3 \\x-y=2\end{array}\]

6. Solve the following pair of equations graphically.(i) x-y=1 x+y=\frac{1}{2}
6. Solve the following pair of equations graphically.(i)  x-y=1  x+y=\frac{1}{2}

6. Solve the following pair of equations graphically.(i) x-y=1 x+y=\frac{1}{2}

(iii) Point (2-3) lies in rant(a) \mathrm{I} (b) II(c) III(d) IV
(iii) Point  (2-3)  lies in rant(a)  \mathrm{I} (b) II(c) III(d) IV

(iii) Point (2-3) lies in rant(a) \mathrm{I} (b) II(c) III(d) IV

2. Draw the graph of each of the following.(i) x=2
2. Draw the graph of each of the following.(i)  x=2

2. Draw the graph of each of the following.(i) x=2

Solve the following pair of equations in x and y graphically.4. x+y-1=0 and x-y+1=0
Solve the following pair of equations in  x  and  y  graphically.4.  x+y-1=0  and  x-y+1=0

Solve the following pair of equations in x and y graphically.4. x+y-1=0 and x-y+1=0

Solve the following pair of equations in x and y graphically.5. 2 x+y-1=0 and x=-y
Solve the following pair of equations in  x  and  y  graphically.5.  2 x+y-1=0  and  x=-y

Solve the following pair of equations in x and y graphically.5. 2 x+y-1=0 and x=-y

4. Draw the graph for following relations.(ii) One Acre =0.4 Hectare
4. Draw the graph for following relations.(ii) One Acre  =0.4  Hectare
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4. Draw the graph for following relations.(ii) One Acre =0.4 Hectare

4. Find the value of m and c of the following lines by expressing them in the form y=m x+c .(c) 3 x+y-1=0
4. Find the value of  m  and  c  of the following lines by expressing them in the form  y=m x+c .(c)  3 x+y-1=0
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4. Find the value of m and c of the following lines by expressing them in the form y=m x+c .(c) 3 x+y-1=0

4. Draw the graph for following relations.(iii) \mathrm{F}=\frac{9}{5} \mathrm{C}+32
4. Draw the graph for following relations.(iii)  \mathrm{F}=\frac{9}{5} \mathrm{C}+32
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4. Draw the graph for following relations.(iii) \mathrm{F}=\frac{9}{5} \mathrm{C}+32

(v) If y=2 x+1 x=2 then y is(a) 2(b) 3(c) 4(d) 5
(v) If  y=2 x+1 x=2  then  y  is(a) 2(b) 3(c) 4(d) 5
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(v) If y=2 x+1 x=2 then y is(a) 2(b) 3(c) 4(d) 5

4. Find the value of m and c of the following lines by expressing them in the form y=m x+c .(f) 2 x=y+3
4. Find the value of  m  and  c  of the following lines by expressing them in the form  y=m x+c .(f)  2 x=y+3
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4. Find the value of m and c of the following lines by expressing them in the form y=m x+c .(f) 2 x=y+3

3. Are the following lines (i) parallel to x -axis (ii) parallel to y -axis?(v) 2 x-2 y=0
3. Are the following lines (i) parallel to  x -axis (ii) parallel to  y -axis?(v)  2 x-2 y=0
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3. Are the following lines (i) parallel to x -axis (ii) parallel to y -axis?(v) 2 x-2 y=0

4. Draw the graph for following relations.(iv) One Rupee =\frac{1}{86} \$
4. Draw the graph for following relations.(iv) One Rupee  =\frac{1}{86} \$
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4. Draw the graph for following relations.(iv) One Rupee =\frac{1}{86} \$

2. Draw the graph of each of the following.(ii) x=-3
2. Draw the graph of each of the following.(ii)  x=-3
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2. Draw the graph of each of the following.(ii) x=-3

(ii) If (x 0)=(0 y) then (x y) is(a) (01) (b) (10) (c) (00) (d) (11)
(ii) If  (x 0)=(0 y)  then  (x y)  is(a)  (01) (b)  (10) (c)  (00) (d)  (11)
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(ii) If (x 0)=(0 y) then (x y) is(a) (01) (b) (10) (c) (00) (d) (11)

2. Draw the graph of each of the following.(iv) y=3
2. Draw the graph of each of the following.(iv)  y=3
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2. Draw the graph of each of the following.(iv) y=3

3. Sketch the graph of each of the following lines.(c) 2 y-x+2=0
3. Sketch the graph of each of the following lines.(c)  2 y-x+2=0
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3. Sketch the graph of each of the following lines.(c) 2 y-x+2=0

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