MCQs of નિશ્વાયક | GUJCET MCQ

નિશ્વાયક MCQs

MCQs of નિશ્વાયક

Showing 61 to 70 out of 83 Questions

61.

|\begin{matrix} 1^{2} & 2^{2} & 3^{2} \\ 2^{2} & 3^{2} & 4^{2} \\ 3^{2} & 4^{2} & 5^{2} \end{matrix}|

નું મૂલ્ય _____ છે.

(a)	8
(b)	-8
(c)	0
(d)	1

62.

જો

|\begin{matrix} {(b + c)}^{2} & a^{2} & a^{2} \\ b^{2} & {(c + a)}^{2} & b^{2} \\ c^{2} & c^{2} & {(a + b)}^{2} \end{matrix}| = k a b c {(a + b + c)}^{3}

, તો k = _____ .

(a)	-1
(b)	1
(c)	2
(d)	-2

63.

જો

A = |\begin{matrix} - 1 & 2 & 4 \\ 3 & 1 & 0 \\ - 2 & 4 & 2 \end{matrix}|

અને

B = |\begin{matrix} - 2 & 4 & 2 \\ 6 & 2 & 0 \\ - 2 & 4 & 8 \end{matrix}|

હોય, તો _____ .

(a)	B = 4A
(b)	B = -4A
(c)	B = -A
(d)	B = 6A

64.

જો

f (α) = |\begin{matrix} 1 & α & α^{2} \\ α & α^{2} & 1 \\ α^{2} & 1 & α \end{matrix}|

હોય, તો

f (\sqrt[3]{3})

= _____ .

(a)	-4
(b)	4
(c)	2
(d)	-2

65.

|\begin{matrix} 1 & 1 & 1 \\ b c & c a & a b \\ b + c & c + a & a + b \end{matrix}|

= _____ .

(a)	1
(b)	(a - b)(b - c)(c - a)
(c)	(a + b)(b + c)(c + a)
(d)	0

66.

|\begin{matrix} 441 & 442 & 443 \\ 445 & 446 & 447 \\ 449 & 450 & 451 \end{matrix}|

નું મૂલ્ય _____ છે.

(a)	441 × 446 × 451
(b)	0
(c)	-1
(d)	1

67.

જો m = _____ હોય, તો

|\begin{matrix} (\begin{matrix} 10 \\ 4 \end{matrix}) & (\begin{matrix} 10 \\ 5 \end{matrix}) & (\begin{matrix} 11 \\ m \end{matrix}) \\ (\begin{matrix} 11 \\ 6 \end{matrix}) & (\begin{matrix} 11 \\ 7 \end{matrix}) & (\begin{matrix} 12 \\ m + 2 \end{matrix}) \\ (\begin{matrix} 12 \\ 8 \end{matrix}) & (\begin{matrix} 12 \\ 9 \end{matrix}) & (\begin{matrix} 13 \\ m + 4 \end{matrix}) \end{matrix}| = 0

(a)	6
(b)	5
(c)	4
(d)	1

68.

જો x એ ધનપૂર્ણાંક હોય,

|\begin{matrix} x! & (x + 1)! & (x + 2)! \\ (x + 1)! & (x + 2)! & (x + 3)! \\ (x + 2)! & (x + 3)! & (x + 4)! \end{matrix}|

તો = _____ .

(a)	2x!(x + 3)!
(b)	2x!(x + 1)!(x + 2)!
(c)	2x!(x + 2)!
(d)	2x!(x + 1)!(x + 2)!(x + 3)!

69.

|\begin{matrix} 10! & 11! & 12! \\ 11! & 12! & 13! \\ 12! & 13! & 14! \end{matrix}|

= _____ .

(a)	2(10! 11!)
(b)	2(10! 13!)
(c)	2(10! 11! 12!)
(d)	2(11! 12! 13!)

70.

જો

ω = - \frac{1}{\sqrt{2}} + i \frac{\sqrt{3}}{2}

હોય, તો નિશ્ચાયક

|\begin{matrix} 1 & 1 & 1 \\ 1 & - 1 - ω^{2} & ω^{2} \\ 1 & ω^{2} & ω^{4} \end{matrix}|

નું મૂલ્ય _____ છે.

(a)	3ω
(b)	3ω(ω - 1)
(c)	3ω²
(d)	3ω(1 - ω)

Showing 61 to 70 out of 83 Questions