`[1, oo)`
`(0,oo)`
`(1/2 , oo)`
None of the above
1 and 2
2 and 3
1 and 3
1, 2 and 3
Only `1`
Only `2`
Both `1` and `2`
Neither `1` nor `2`
`-10`
`-6`
`-4`
`2`
1 only
3 only
2 and 3 only
1 and 3
1 only
2 only
Both 1 and 2
Neither 1 nor 2
1 and 2 only
2 and 3 only
1 and 3 only
1 , 2 and 3
-1
0
1
2
Only 1
Only 2
Both 1 and 2
Neither 1 nor 2
Only I
Only II
both (I) and (II)
Neither I nor II
Only 1
Only 2
Both 1 and 2
Neither 1 nor 2
`1`
`2`
`-1`
`-3`
Only I
Only II
Both I and II
Neither I nor II
Only I
Only II
Both I and II
Neither I nor II
`x/(|x|)`
`x | x |`
`1/(|x|)`
`1/x`
Only I
Only II
Both I and II
Neither I nor II
Column I | Column II | ||
---|---|---|---|
(Function) | (Property) | ||
(A) | `sin x` | (1) | Periodic function |
(B) | `cos x` | (2) | Non-periodic function |
(C) | `tan x` | (3) | Continuous at every point on `( -oo, oo)` |
(4) | Discontinuous function | ||
(5) | Differentiable at every point on `(-oo, oo)` | ||
(6) | Not Differentiable at every point on `(-oo, oo)` | ||
(7) | Has period `pi` | ||
(8) | Has period `2 pi` | ||
(9) | Increases on `(0,pi/2)` | ||
(10) | Decreases on `(0,pi/2)` | ||
(11) | increases on `(pi/2,pi)` | ||
(12) | Decreases on `(pi/2,pi)` |
`1,3,5,8,9` and `12`
`2, 4, 6, 8, 10` and `11`
`1, 3, 5, 7, 10 ` and ` 11`
None of these
Column I | Column II | ||
---|---|---|---|
(Function) | (Property) | ||
(A) | `sin x` | (1) | Periodic function |
(B) | `cos x` | (2) | Non-periodic function |
(C) | `tan x` | (3) | Continuous at every point on `( -oo, oo)` |
(4) | Discontinuous function | ||
(5) | Differentiable at every point on `(-oo, oo)` | ||
(6) | Not Differentiable at every point on `(-oo, oo)` | ||
(7) | Has period `pi` | ||
(8) | Has period `2 pi` | ||
(9) | Increases on `(0,pi/2)` | ||
(10) | Decreases on `(0,pi/2)` | ||
(11) | increases on `(pi/2,pi)` | ||
(12) | Decreases on `(pi/2,pi)` |
`2, 3, 5, 8, 9` and `12`
`1,3,5,8,10` and `12`
`1, 3, 5, 8, 9` and ` 12`
None of these
Column I | Column II | ||
---|---|---|---|
(Function) | (Property) | ||
(A) | `sin x` | (1) | Periodic function |
(B) | `cos x` | (2) | Non-periodic function |
(C) | `tan x` | (3) | Continuous at every point on `( -oo, oo)` |
(4) | Discontinuous function | ||
(5) | Differentiable at every point on `(-oo, oo)` | ||
(6) | Not Differentiable at every point on `(-oo, oo)` | ||
(7) | Has period `pi` | ||
(8) | Has period `2 pi` | ||
(9) | Increases on `(0,pi/2)` | ||
(10) | Decreases on `(0,pi/2)` | ||
(11) | increases on `(pi/2,pi)` | ||
(12) | Decreases on `(pi/2,pi)` |
`1, 4, 6, 7, 9 ` and `11`
`2, 4, 6, 8` and `9`
`1, 4, 6, 7` and `9`
None of these
Only I
Only II
Both I and II
Neither I nor II
Only `(-oo , oo)`
Only `(0, oo)`
Only `(-oo , 0) cup (0, oo)`
Only `(-oo ,0)`
`| f|` is differentiable everywhere
`|f|^2` is differentiable everywhere
`f |f| ` is not differentiable at same points
none of the above