1
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\left| {\matrix{
x & y & 0 \cr
0 & x & y \cr
y & 0 & x \cr
} } \right| = 0$$, then which one of the following is correct?
2
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
For a square matrix A, which of the following properties hold?
1. $${({A^{ - 1}})^{ - 1}} = A$$
2. $$\det \,({A^{ - 1}}) = {1 \over {\det \,A}}$$
3. $${(\lambda A)^{ - 1}} = \lambda {A^{ - 1}}$$, where $$\lambda$$ is a scalar
Select the correct answer using the code given below.
1. $${({A^{ - 1}})^{ - 1}} = A$$
2. $$\det \,({A^{ - 1}}) = {1 \over {\det \,A}}$$
3. $${(\lambda A)^{ - 1}} = \lambda {A^{ - 1}}$$, where $$\lambda$$ is a scalar
Select the correct answer using the code given below.
3
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Which one of the following factors does the expansion of the determinant
$$\left| {\matrix{ x & y & 3 \cr {{x^2}} & {5{y^3}} & 9 \cr {{x^3}} & {10{y^5}} & {27} \cr } } \right|$$ contain?
$$\left| {\matrix{ x & y & 3 \cr {{x^2}} & {5{y^3}} & 9 \cr {{x^3}} & {10{y^5}} & {27} \cr } } \right|$$ contain?
4
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If a + b + c = 0, then one of the solutions of $$\left| {\matrix{
{a - x} & c & b \cr
c & {b - x} & a \cr
b & a & {c - x} \cr
} } \right| = 0$$ is
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