`k = 4`
`k = -4`
`k = 8`
`k = -8`
`phi`
`(-3,3)`
`( - oo , (58)/(14) )`
None of these
`(-14, 14)`
`(-12, 12)`
`(-16, 16)`
`(-21, 21)`
`e^{ x/a}`
`a`
`2/a`
None of these
`x \in R`
`x\in R - \{1\}`
`x\in R^+`
`x\in \phi`
`0`
`1`
`3`
`5`
`(1, 1)`
`(1, 0)`
`(0, 1)`
at no point
`(4r)/3`
`(3r)/4`
`sqrt3/3 r`
`2/3 r`
1 and `1/4`
1 and 0
2 and 0
1 and `1/2`
`0`
`1`
`2`
`3`
`(- oo, 1)`
`(2, oo)`
`(1, 2)`
none of these
increasing in ` ( 1,\infty )`
decreasing in `( 1,\infty )`
increasing in `(1,e)`, decreasing in `( e,\infty )`
decreasing in ` (1,e)`, increasing in `( e,\infty )`
`e^(-3)`
`3e^(-3)`
`27 e^(-9)`
`oo`
`f(x)` must be an increasing function
`f (x)` must be a decreasing function
`| f(x) |` must be an increasing function
`| f(x) |` must be a decreasing function
`0`
`pi`
`2pi`
`3pi//2`
`2^(1-1/(2 sqrt(2)))`
`2^(1- sqrt(2))`
`4^(1 - 2 sqrt (2) )`
`4^(1- sqrt (2))`
`- 1//2`
`-1`
`1`
`0`
`1,3`
`-3,1`
`-1,3`
`-1,-3`
`pi/3`
`pi/6`
`pi/2`
`pi/8`
`[0, 2]`
`[ 0 , 1/2]`
`[ 1/2 , 1]`
`[ 0 ,1]`
even
odd
decreasing
None of these
`1`
`2`
`3`
`1/3`
it is at a constant distance from the origin
it makes a constant angle with x-axis
it passes through the origin
None of these
` 1/3 , 1`
`1 , 1/3`
`3 , 1`
None of these
`r, r`
`2r, 2r`
`sqrt(2)r, sqrt(2)r`
None of the above