Q.

The area of parallelogram formed by the lines 2x + y + 4 = 0, 2x + y + 5 = 0, ,                 3x + 2y − 5 = 0, 3x + 2y + 3 =0

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a

8

b

6

c

4

d

2

answer is A.

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Detailed Solution

Area of parallelogram=|(c1−d1)(c2−d2)a1b2−a2b1|        where the sides of the lines are a1x+b1 y+c1=0 ,a1x+b1y+d1=0                                                 and   a2x+b2y+c2=0 ,a2x+b2y +d2=0                                     = |(4−5)(−5−3)4−3|=|(−1)(−8)−1|=8
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