1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
If $\left|\begin{array}{ccc} x^2+3 x & x-1 & x+3 \\ x+1 & -2 x & x-4 \\ x-3 & x+4 & 3 x \end{array}\right|$ = ax4 + bx3 + cx2 + dx + e, then what is the value of e?"
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
If all elements of a third order determinant are equal to 1 or -1, then the value of the determinant is:
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
If $A=\left[\begin{array}{rrr} 2 & -1 & 0 \\ -1 & 3 & 0 \\ 1 & 0 & 1 \end{array}\right]$, then what is the value of det[adj(adjA)] ?
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
The value of the determinant of a matrix A of order 3 is 3. If C is the matrix of cofactors of the matrix A, then what is the value of determinant of C2?
Questions Asked from Determinants (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
NDA Subjects
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Sets, Relations and Functions Logarithms Quadratic Equations and Inequalities Sequence And Series Binomial Theorem Matrices Determinants Permutations and Combinations Probability Complex Numbers Vector Algebra Three Dimensional Geometry Statistics
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Trigonometric Angles and Equations Inverse Trigonometric Function Height and Distance Properties of Triangles
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