1
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
If A is the identity matrix of order 3 and B is its transpose, then what is the value of the determinant of the matrix C = A + B?
2
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
If $\rm \Delta = \begin{vmatrix} a & b & c\\ d & e & f\\ g & h & i \end{vmatrix}$ then what is $\rm \begin{vmatrix} 3d + 5g & 4a + 7g & 6g\\ 3e + 5h & 4b + 7h & 6h\\ 3f + 5i & 4c + 7i & 6i \end{vmatrix}$ equal to?
3
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
If $\rm \begin{vmatrix} a & -b & a - b - c\\ -a & b & -a + b - c\\ -a & -b & -a - b + c \end{vmatrix} - kabc = 0$ (a ≠ 0, b ≠ 0, c ≠ 0)then what is the value of k?
4
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
For what values of k is the system of equations 2k2x + 3y - 1 = 0, 7x - 2y + 3 = 0, 6kx + y + 1 = 0 consistent?
Questions Asked from Determinants (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
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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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