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Question

Area of the rhombus bounded by the four lines, ax±by±c=0 is

A
c22ab
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B
2c2ab
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C
4c2ab
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D
ab4c2
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Solution

The correct option is B 2c2ab
The four lines will form a rhombus. The coordinates of the vertices are (ca,0),(ca,0),(0,cb),(0,cb)
Let d1,d2 be the diagonals of the rhombus.
d1=2ca
d2=2cb
Area=12d1.d2 =2c2ab
288899_258356_ans_3c3e4a93088f44619db69b380e53f5fd.png

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