Question

prove that 3x-4y+5=0,x+2y=3,3x-4y+15=0,x+2y=9 are lines of a parallelogram

Answer 1

Step-by-step explanation:

Given equations of lines are

3x−4y+1=0,3x−4y+3=0,4x−3y−1=0 and 4x−3y−2=0,

Here m

1

=

4

3

,m

2

=

3

4

and c

1

=

4

1

,c

2

=

4

3

,d

1

=−

3

1

,d

2

=−

3

2

Area of parallelogram =

∣

∣

∣

∣

∣

m

1

−m

2

(c

1

−c

2

)(d

1

−d

2

)

∣

∣

∣

∣

∣

=

7

2

sq.units

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