Question

The graph of the equations x - 2y 3-0 and 2x 4y+5-0 are

(a) intersecting line (b) coincident lines
(c) parallel lines
(d) perpendicular lines

Answer 1

Mistake in question :

Correct question :

The graph of the equations x - 2 y - 3 = 0 and 2 x -  4 y + 5 = 0 are

(a) intersecting line

(b) coincident lines

(c) parallel lines

(d) perpendicular lines

Answer:

Parallel lines .

Step-by-step explanation:

Given :

x - 2 y - 3 = 0

Multiply it by 2 we get

2 x - 4 y - 6 = 0

2 x = 6 + 4 y ... ( i )

2 x -  4 y + 5 = 0

2 x = 4 y - 5 ... ( ii )

From ( i )  and ( ii )  we get

6 + 4 y = 4 y - 5

4 y - 4 y = 6 + 5

y = 0

Now put y = 0 in ( i ) we get

2 x = 6 + 4 y

2 x = 6 + 0

2 x = 6

x = 3

Now again put y = 0 in ( ii )  we get

2 x = 4 y - 5

2 x = 0 - 5

2 x = - 5

x = - 2.5

Now see the graph there is parallel line.

And also graph showso x and y is correct.

Answer 2

QUESTIONS -

The graph of the equations x - 2 y - 3 = 0 and 2 x -  4 y + 5 = 0 are

(a) intersecting line

(b) coincident lines

(c) parallel lines

(d) perpendicular lines

$\bf\huge\boxed{ANSWERS}$

✴(c) Parallel Lines

Given Equations:-

x - 2y - 3 = 0

Multiply by 2 both side

2 x - 4 y - 6 = 0

=>2 x = 6 + 4 y ________(1)

=>2 x -  4 y + 5 = 0

=>2 x = 4 y - 5 _________(2)

Solving ( 1)  and ( 2)  

=>6 + 4 y = 4 y - 5

=>4 y - 4 y = 6 + 5

y = 0

Now putting y = 0 in equation(1)

2 x = 6 + 4 y

2 x = 6 + 0

2 x = 6

x = 3

Also putting y = 0 in equations (2)

2 x = 4 y - 5

2 x = - 5

2 x = - 5

x = - 5/2 = - 2.5

Go to the graph ✌

note - graph was taken from a website

Therefore graph shows x and y is correct