1.

Express ‘y’ in terms of x in the eDo the equations 2x + 4y = 3 and 12x + 6y = 6 represent a pair of parallel lines? Justify your answer.quation 2x + 3y = 11.

Answer»

Parallel lines - parallel lines is that they have same slope.

Intersecting lines - In linear equations, two lines have DIFFERENT SLOPES, then definitely they will meet at a certain point.

Coincident lines-lines with the same equation are practically the same line.

Then

(1) 2x+3y=40⇒3y=−2x+40⇒y=−

3

2

X+

3

40

6x+5y=10⇒5y−6x+10⇒y=−

5

6

x+

5

10

In these line The slope is different then these line are intersecting line (B)

(2)2x+3y=40⇒3y=−2x+40⇒y=−

3

2x

+

3

40

6x+9y=50⇒9y=−6y+50⇒y=−

9

6

x+

9

50

⇒y=−

3

2x

+

9

50

In these lines the slope is same then these lines are parallel lines (c)

(3)2x+3y=10

4x+6y=20⇒2x+3y=10

The equation of these lines are same then these lines are coincident lines(a)

Then 1−b,2−c and 3−a


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