Answer :

Given:


The given lines are


3x 4y + a = 0 … (1)


3x 4y + 3a = 0 … (2)


4x 3y a = 0 … (3)


4x 3y 2a = 0 … (4)


To prove:


The area of the parallelogram formed by the lines 3x – 4y + a = 0, 3x – 4y + 3a = 0, 4x – 3y – a = 0 and 4x – 3y – 2a = 0 is sq. units.


Explanation:


From Above solution, We know that


Area of the parallelogram


Area of the parallelogramsquare units


Hence proved.


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