1
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
If $\rm D_n=\begin{vmatrix}n&20&30\\\ n^2&40&50\\\ n^3&60&70\end{vmatrix}$ then what is the value of $\rm \sum\limits_{n=1}^4D_n?$
2
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
If P is a skew-symmetric matrix of order 3, then what is det(P) equal to?
3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
For what value of $n$ is the determinant
$$ \left|\begin{array}{ccc} C(9,4) & C(9,3) & C(10, n-2) \\ C(11,6) & C(11,5) & C(12, n) \\ C(m, 7) & C(m, 6) & C(m+1, n+1) \end{array}\right|=0 $$
for every $m>n$ ?
$$ \left|\begin{array}{ccc} C(9,4) & C(9,3) & C(10, n-2) \\ C(11,6) & C(11,5) & C(12, n) \\ C(m, 7) & C(m, 6) & C(m+1, n+1) \end{array}\right|=0 $$
for every $m>n$ ?
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
If ABC is a triangle, then what is the value of the determinant
$$ \left|\begin{array}{ccc} \cos C & \sin B & 0 \\ \tan A & 0 & \sin B \\ 0 & \tan (B+C) & \cos C \end{array}\right| ? $$
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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Trigonometric Angles and Equations Inverse Trigonometric Function Height and Distance Properties of Triangles
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