2015 · Q13
Consider the following in respect of the equation y = √((x − 1)²)/(x − 1):
- 1y = 1 if x > 1
- 2y = −1 if x < 1
- 3y exists for all values of x.
Which of the above statements is/are correct?
Elementary MathematicsNumber System
- A1 only
- B2 only
- C1 and 2 only
- D1,2 and 3
Explanation
y = |x - 1|/(x - 1) equals 1 for x > 1 and -1 for x < 1, but is undefined at x = 1. So statements 1 and 2 are correct while 3 is false. Hence option (c).