1
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the value of the determinant $$\left| {\matrix{
{1!} & {2!} & {3!} \cr
{2!} & {3!} & {4!} \cr
{3!} & {4!} & {5!} \cr
} } \right|$$ ?
2
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 $m>n$ ?
3
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
$$ \left|\begin{array}{ccc} \cos C & \sin B & 0 \\ \tan A & 0 & \sin B \\ 0 & \tan (B+C) & \cos C \end{array}\right| ? $$
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
If $a, b, c$ are the sides of a triangle $ABC$, then what is $$ \begin{vmatrix} a^2 & b \sin A & c \sin A \\ b \sin A & 1 & \cos A \\ c \sin A & \cos A & 1 \end{vmatrix}$$ equal to?
Questions Asked from Determinants (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
NDA Subjects
Mathematics
Algebra
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
Trigonometry
Trigonometric Angles and Equations Inverse Trigonometric Function Height and Distance Properties of Triangles
Coordinate Geometry
Calculus
English
General Studies