`a`
`b`
`c`
`0`
`x/y ` is one of the cube roots of unity
`x` is one of the cube roots of unity
`y` is one of the cube roots of unity
`x/y ` is one of the cube roots of `-1`
Only `1`
Only `2`
Both `1` and `2`
Neither `1` nor `2`
`3`
`2`
`1`
`0`
`a/b` is one of the cube roots of unity
`a/b` is one of the cube roots of `-1`
`a` is one of the cube roots of unity
`b` is one of the cube roots of unity
p is one of the cube roots of unity
q is one of the cube roots of unity
p/q is one of the cube roots of unity
None of the above
`-abc`
`abc`
`0`
`1`
Only I
Only II
Both I and II
Neither I nor II
`0`
`1`
`-1`
`1//2`
AP
GP
HP
None of these
`Delta_1 + Delta_2 =0`
`Delta_1 + 2 Delta_2 =0`
`Delta_1 = Delta_2`
`Delta_1 = 2 Delta_2`
`-1`
`1`
`0`
`3`
`4`
`5`
`6`
`8`
`0`
`1`
`2`
`5`
`-12`
`9`
`13`
`14`
`2`
`4`
`6`
`-6`
`- 9`
`-7`
`7`
`0`
`0`
`- Delta`
`Delta`
`Delta^2`
`1/4`
`sqrt3/2`
`-1/4`
`-3/4`
`−D`
`D`
0
None of these
`[ (0, i),(i,0) ]`
`[ (0, -i),(- i, 0) ]`
`[ (0, 1),(1 , 0) ]`
None of these
`±1`
`±2`
`±3`
`±5`
det (B)
det (A)
det (`B^(-1)`)
det (`A^(-1)`)
`10`
`20`
`40`
`60`
` 1 + x + y + z`
`2 xyz`
`x^2y^2z^2`
`2x^2y^2z^2`
`1/10`
`2/5`
`8/5`
`1/40`
`1` and `2`
`2` and `3`
`1` and `3`
`1, 2` and `3`
`k^(-n)`
`k^(-1)`
`k^(n)`
`nk`
`x + y`
`x - y`
`xy`
`1 +x+ y `
`a^3 + b^3 + c^3`
`3bc`
`a^3 + b^3 + c^3 - 3abc`
`0`
non - negative
non - positive
negative
positive
`0`
`(a- b)(b- c)(c- a)`
`(a+ b + c)^2`
`(a+ b + c)^3`
is a perfect cube
is a perfect square
has linear factor
is zero
`1`
`-1`
`0`
`p + q + r`
`abc`
`a+ b + c`
`-(a + b + c)`
`-abc`
det `A`
` 1/(det A)`
`1`
None of these
`-1`
`1`
`2`
`0`
`2`
`1`
`- 1`
`0`
`12`
`-12`
`7`
`-7`
`alpha`
`beta`
`gamma`
`alpha,beta` and `gamma`
Either `x + y = z` or `x = y`
Either `x + y =- z` or `x = z`
Either `x + z = y` or `z = y`
Either `z + y = x` or `x = y`
Only I
Only II
Both I and II
Neither I nor II
`x + 2`
`x^2 + 2`
`2`
`-2`
`0`
`x^2 + y^2 + z^2`
`x^2 + y^2 + z^2 + 1`
None of these
`4abc`
`4a^2bc`
`4a^2b^2c^2`
`- 4a^2b^2c^2`
`0`
`1`
`-1`
Can be any real value
Only I
Only II
Both I and II
Neither I nor II
`1, 2`
`-1 ,2`
`1,-2`
`-1, -2`
`0`
`abc`
`ab + bc + ca`
`abc(a + b +c)`
Only 1
Only 2
Both 1 and 2
Neither 1 nor 2
-1
24
35
50
`p^(3)`
`3p^(3)`
`6p^(3)`
` -6p^(3)`
` - 1/6` or `0`
` - 1` or `0`
` - 1/6` or `1`
` - 1` or `1`
`Delta_2`
`Delta_2//2`
`3 Delta_2`
None of these
`Delta_1 = 3 (Delta_2)^2`
`d/(dx) (Delta_1) =3 Delta_2`
`d/(dx) (Delta_1) = 3 (Delta_2)^2`
`Delta_1 = 3 Delta_2^(3/2)`
have the unique solution
have infinitely many solutions
arc inconsistent
None of the above
1 and 2 only
2 and 3 only
1 and 3 only
1, 2 and 3
`lamda = 5 ` and `mu != 9`
`lamda = 5 ` and ` mu = 9`
`lamda = 9` and ` mu =5 `
`lamda = 9` and `mu != 5`
`k != 1` and `k != - 2`
`k != 1` and `k != 2`
`k != -1` and `k != - 2`
`k != -1` and `k != 2`
`0`
`3`
`6`
`15`
`k = 1`
`k != -2`
`k = 1` or `k = -2`
`k = -2`
`(Delta_2//Delta_1 ,Delta_3//Delta_1)`
`(Delta_3//Delta_1 ,Delta_2//Delta_1)`
`(Delta_1//Delta_2 ,Delta_1//Delta_3)`
`(- Delta_1//Delta_2 ,- Delta_1//Delta_3)`
a trivial solution
no solution
a unique solution
infinitely many solutions
(This question may have multiple correct answers)
Has two solutions
Is inconsistent
Has unique solutions
Has infinitely many solutions
(This question may have multiple correct answers)
there is only one solution
there exists infinitely many solution
there is no solution
None of the above
Has two solutions
Is inconsistent
Has unique solutions
Has infinitely many solutions
`2`
`3`
`4`
`5`