1
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If A, B and C are the angles of a triangle and $$\left| {\matrix{
1 & 1 & 1 \cr
{1 + \sin A} & {1 + \sin B} & {1 + \sin C} \cr
{\sin A + {{\sin }^2}A} & {\sin B + {{\sin }^2}B} & {\sin C + {{\sin }^2}C} \cr
} } \right| = 0$$, then which one of the following is correct?
2
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If x + a + b + c = 0, then what is the value of $$\left| {\matrix{
{x + a} & b & c \cr
a & {x + b} & c \cr
a & b & {x + c} \cr
} } \right|$$ ?
3
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What are the values of x that satisfy the equation $$\left| {\matrix{
x & 0 & 2 \cr
{2x} & 2 & 1 \cr
1 & 1 & 1 \cr
} } \right| + \left| {\matrix{
{3x} & 0 & 2 \cr
{{x^2}} & 2 & 1 \cr
0 & 1 & 1 \cr
} } \right| = 0$$ ?
4
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the value of the determinant $$\left| {\matrix{
{1!} & {2!} & {3!} \cr
{2!} & {3!} & {4!} \cr
{3!} & {4!} & {5!} \cr
} } \right|$$ ?
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