`x = y = z`
`xz = 1`
`x ne y` and `y=z`
`x = y` and `y ne z`
Only `1`
Only `2`
Both `1` and `2`
Neither `1` nor `2`
Only `1`
Only `2`
Both `1` and `2`
Neither `1` nor `2`
` - 7/(17)`
` 5/(16)`
`5/4`
` 7/(17)`
Only `1`
Only `2`
Both `1` and `2`
Neither `1` nor `2`
`x = 1`
`x = -1`
`x = 0`
` x = 1/2`
` (tan^(-1)) ((60)/(119) )`
` (tan^(-1)) ((120)/(119) )`
` (tan^(-1)) ((90)/(169) )`
` (tan^(-1)) ((170)/(169) )`
` (tan^(-1)) ((828)/(845) )`
` (tan^(-1)) ((8287)/(8450) )`
` (tan^(-1)) ((8281)/(8450) )`
` (tan^(-1)) ((8287)/(8451) )`
` pi/2 `
`pi/3`
`pi/6`
`pi/4`
Only 1
Only 2
Both 1 and 2
Neither 1 nor 2
`(3pi)/5`
`(2 pi)/5`
`( pi)/5`
None of these
`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/2`
`pi/3`
`pi/4`
`pi/6`
tan x
cot x
tan 2x
cot 2x
`pi/2`
`pi/3`
`pi/4`
`pi/6`
`(a-b)/(1+ab)`
`(a-b)/(1-ab)`
`(2ab)/(a+b)`
`(a+b)/(1-ab)`
`0`
`1//2`
`1`
`2`
`tan^(-1) 2`
`tan^(-1) 4`
`pi/4`
`pi/3`
`63/65`
`33/65`
`22/65`
`11/65`
`pi/2`
`pi/3`
`pi/4`
`pi/6`
Only I
Only II
Both I and II
Neither I nor II
`0`
`1`
`4//5`
`1//5`
`pi/3`
`pi/2`
`pi/4`
`pi/6`
`pi/4`
`pi/2`
`-pi/4`
`0`
`1`
`7`
`13`
`17`
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
`0`
`1/sqrt 5`
`2/sqrt 5`
`sqrt 3/2`
`[-1,1]`
`[0,1]`
`[-1,0]`
`[-1/sqrt 2, 1/sqrt 2]`
`a/b`
`ab`
`b/a`
`(a-b)/(1+ab)`
`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`
`1/sqrt 2,-1/sqrt 2`
`1/2, 1/2`
`1/2, -1/2`
`1/sqrt 2,1/sqrt 2`
`(sqrt(1-x^2))/x`
`x^2/(1+x^2)`
`(sqrt(1+x^2))/x`
`sqrt(1-x^2)`
`x=-1/2`
`x=1`
`x=1/2`
`x=sqrt 3/2`
`[-1/2,1/2]`
`[1/2,1]`
`[-1,-1/2]`
`[-1,1]`
`1`
`-1`
`0`
`2`
`-1/sqrt 2`
`0`
`1/sqrt 2`
`1/(2 sqrt 2)`
`pi/2+theta`
`pi/2-theta`
`pi/2`
`-theta`
`pi/2+theta`
`pi/2-theta`
`pi/2`
`-theta`
`pi`
`pi/2`
`pi/4`
`pi/3`
`sqrt((x^2+1)/(x^2+2))`
`sqrt((x^2+2)/(x^2+1))`
`(x^2+1)/(x^2+2)`
`(x^2+2)/(x^2+1)`