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Question

The solution set x= (b1c2b2c1)(a1b2a2b1)  and  y= (c1a2c2a1)(a1b2a2b1) to the pair of linear equations given below can be written as:

a1x + b1y + c1=0 and a2x + b2y + c2=0 .



Your Answer
A

x/b2c2-b1c1 = y/a2c2-a1c1 = 1/b2a2-b1a1

Correct Answer
B

x/b1c2−b2c1 =  y/a2c1−a1c2 =  1/b2a1−b1a2

Your Answer
C

x/b2c1−b1c1 =  y/a2c1−a1c1 =  1/b2a1−b1a2

Your Answer
D

None of these


Solution

The correct option is D

x/b1c2−b2c1 =  y/a2c1−a1c2 =  1/b2a1−b1a2


We have x = b1c2b2c1(a1b2a2b1 and y = c1a2c2a1a1b2a2b1            

We can write this as   xb1c2b2c1ya2c1a1c21b2a1b1a2

This is the basis for cross multiplication method.

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