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CBSE Class 12 Math 2013 Solved Paper

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Question : 4
Total: 29
If |
x+1x−1
x−3x+2
| = |
4−1
13
|, then write the value of x.
Solution:  
|
x+1x−1
x−3x+2
| = |
4−1
13
|
⇒ (x + 1) (x + 2) - (x - 1) (x - 3) = 12 + 1
⇒ x2 + 3x + 2 - x2 + 4x - 3 = 13
⇒ 7x - 1 = 13
⇒ 7x = 14
⇒ x = 2
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