In the interval  \(-\pi \leq x \leq \pi\), the graph of  \(y=a+\sec (x)\), where  \(a \in R\), has two \(x\)-intercepts when

1. \(0 \leq a \leq 1\)
2. \(-1<a<1\)
3. \(a \leq-1\)  or  \(a>1\)
4. \(-1 \leq a<0\)
5. \(a<-1\)  or  \(a \geq 1\)

Let  `f(x) = text(cosec) (x)`. The graph of  `f` is transformed by:

• a dilation by a factor of 3 from the `x`-axis, followed by
• translation of 1 unit horizontally to the right, followed by
• a dilation by a factor of `1/2` from the `y`-axis

The rule of the transformed graph is

1. `g(x) = 2\ text(cosec) (3x + 1)`
2. `g(x) = 3\ text(cosec) (2x - 1)`
3. `g(x) = 3\ text(cosec) (2 (x - 1))`
4. `g(x) = 2\ text(cosec) (x/3 - 1)`
5. `g(x) = 3\ text(cosec) ((x - 1)/2)`