`pi/2`
`pi/3`
`pi/4`
`pi/6`
`pi/4`
`pi/2`
`-pi/4`
`0`
Only I
Only II
Both I and II
Neither I nor II
`-1/sqrt 2`
`0`
`1/sqrt 2`
`1/(2 sqrt 2)`
`1`
`-1`
`0`
`2`
`[-1/2,1/2]`
`[1/2,1]`
`[-1,-1/2]`
`[-1,1]`
` 1/sqrt2`
` - 1/sqrt2`
`1`
None of these
`(sqrt(1-x^2))/x`
`x^2/(1+x^2)`
`(sqrt(1+x^2))/x`
`sqrt(1-x^2)`
`sin^(-1) {sin (5pi //4)} = - pi // 4`
`sec^(-1) {sec (5pi //4)} = 3pi // 4`
`tan^(-1) {tan (5pi //4)} = pi// 4`
`cosec^(-1) {cosec (7pi//4)} = pi//4`
`0`
`1//2`
`1`
`2`
Both Statements I and II are independently correct and Statement II is the correct explanation of Statement I
Both Statements I and II are independently correct but Statement II is not the correct explanation of Statement I
Statement I is correct but Statement II is false
Statement I is false but Statement II is correct
`(3pi)/5`
`(2 pi)/5`
`( pi)/5`
None of these
`pi/2+theta`
`pi/2-theta`
`pi/2`
`-theta`
`x=-1/2`
`x=1`
`x=1/2`
`x=sqrt 3/2`
`1/sqrt 2,-1/sqrt 2`
`1/2, 1/2`
`1/2, -1/2`
`1/sqrt 2,1/sqrt 2`
`1`
`7`
`13`
`17`
` sqrt(ab)`
` sqrt(2ab)`
`2ab`
`ab`
`\frac{1}{2}`
`2`
`1`
`\frac{1}{3}`
`0`
`1/sqrt 5`
`2/sqrt 5`
`sqrt 3/2`
`0`
`1`
`4//5`
`1//5`
Only `1`
Only `2`
Both `1` and `2`
Neither `1` nor `2`
Only 1
Only 2
Both 1 and 2
Neither 1 nor 2
`x = y = z`
`xz = 1`
`x ne y` and `y=z`
`x = y` and `y ne z`
`tan^( -1) ( (x + y)/(1 - xy))`
` - pi + tan^( -1) ( (x + y)/(1 - xy))`
` pi - tan^( -1) ( (x + y)/(1 - xy))`
`tan^( -1) ( (x - y)/(1 + xy))`
`pi`
`pi/2`
`pi/4`
`pi/3`
`a/b`
`ab`
`b/a`
`(a-b)/(1+ab)`
`tan^(-1) x`
`tan x`
`cot x`
`cosec^(- 1)x`
`tan^(-1) 2`
`tan^(-1) 4`
`pi/4`
`pi/3`
` - 7/(17)`
` 5/(16)`
`5/4`
` 7/(17)`
` pi/2 `
`pi/3`
`pi/6`
`pi/4`
`pi/3`
`pi/2`
`pi/4`
`pi/6`
`(a-b)/(1+ab)`
`(a-b)/(1-ab)`
`(2ab)/(a+b)`
`(a+b)/(1-ab)`
`pi/2`
`pi/3`
`pi/4`
`pi/6`
Only `1`
Only `2`
Both `1` and `2`
Neither `1` nor `2`
`63/65`
`33/65`
`22/65`
`11/65`