MCQGeeks
0 : 0 : 1
CBSE
JEE
NTSE
NEET
English
UK Quiz
Quiz
Driving Test
Practice
Games
CBSE
Class 12 Maths
Determinants
Quiz 1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
If Δ = \(\left[\begin{array}{cc}10 & 2 \\30 & 6\end{array}\right]\) then A =
0%
0
0%
10
0%
12
0%
60
Explanation
0
A = \(\left[\begin{array}{ll}\alpha & q \\q & \alpha\end{array}\right]\) |A³| = 125 then α =
0%
±3
0%
±2
0%
±5
0%
0
Explanation
±3
The area of a triangle with vertices (-3, 0) (3, 0) and (0, k) is 9 sq. units. The value of k will be
0%
9
0%
3
0%
-9
0%
6
Explanation
3
Let f(t) = \(\left[\begin{array}{ccc}cot t & t & 1 \\2 sin t & t & 2t \\sin t & t & t\end{array}\right]\) then \(_{t→0}^{lim}\) \(\frac{f(t)}{t^2}\) is equal to
0%
0
0%
-1
0%
2
0%
3
Explanation
0
If A and B are invertible matrices, then which of the following is not correct?
0%
adj A = |A|.A
0%
det (a)= [det (a)]
0%
(AB)= BA
0%
(A + B)= B+ A
Explanation
(A + B)
Evaluate the determinant Δ = \(\left|\begin{array}{cc}log_{3}512 & log_{4}3 \\log_{3}8 & log_{4}9\end{array}\right|\)
0%
\(\frac{15}{2}\)
0%
12
0%
\(\frac{14}{3}\)
0%
6
Explanation
\(\frac{15}{2}\)
\(\left|\begin{array}{cc}x & -7 \\x & 5 x+1\end{array}\right|\)
0%
3x² + 4
0%
x(5x + 8)
0%
3x + 4x²
0%
x(3x + 4)
Explanation
x(5x + 8)
\( \left|\begin{array}{cc}\cos \theta & -\sin \theta \\\sin \theta & \cos \alpha\end{array}\right|\)
0%
0
0%
1
0%
2
0%
3
Explanation
1
\( \left|\begin{array}{ll}\cos 15^{\circ} & \sin 15^{\circ} \\\sin 75^{\circ} & \cos 75^{\circ}\end{array}\right|\)
0%
0
0%
5
0%
3
0%
7
Explanation
0
\(\left|\begin{array}{cc}a+i b & c+i d \\-c+i d & a-i b\end{array}\right|\)
0%
(a + b)²
0%
(a + b + c + d)²
0%
(a² + b² – c² – d²)
0%
a² + b² + c² + a²
Explanation
a² + b² + c² + a²
If \(\left|\begin{array}{ccc}a-b-c & 2 a & 2 a \\2 b & b-c-a & 2 b \\2 c & 2 c & c-a-b\end{array}\right|\) = k (a + b + c)³ then k is
0%
0
0%
1
0%
2
0%
3
Explanation
1
\(\left|\begin{array}{lll}a+1 & a+2 & a+4 \\a+3 & a+5 & a+8 \\a+7 & a+10 & a+14\end{array}\right|\) =
0%
2
0%
-2
0%
4
0%
-4
Explanation
-2
\(\left|\begin{array}{lll}b-c & c-a & a-b \\c-a & a-b & b-c \\a-b & b-c & c-a\end{array}\right|\) =
0%
0
0%
1
0%
2
0%
3
Explanation
0
The value of the determinant \(\left|\begin{array}{ccc}\alpha & \beta & \gamma \\\alpha^{2} & \beta^{2} &\gamma^{2} \\\beta+\gamma & \gamma+\alpha & \alpha+\beta\end{array}\right|\)
0%
(α + β)(β + γ)(γ + α)
0%
(α – β)(β – γ) (γ – α) (α + β + γ)
0%
(α + β + γ)² (α – β – γ)²
0%
αβγ (α + β + γ)
Explanation
(α – β)(β – γ) (γ – α) (α + β + γ)
0 h : 0 m : 1 s
1
2
3
4
5
6
7
8
9
10
11
12
13
14
0
Answered
0
Not Answered
0
Not Visited
Correct : 0
Incorrect : 0
Report Question
×
What's an issue?
Question is wrong
Answer is wrong
Other Reason
Want to elaborate a bit more? (optional)
Support mcqgeeks.com by disabling your adblocker.
×
Please disable the adBlock and continue.
Thank you.
Reload page