1
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Which of the following determinants have value 'zero'?
1. $$\left| {\matrix{ {41} & 1 & 5 \cr {79} & 7 & 9 \cr {29} & 5 & 3 \cr } } \right|$$
2. $$\left| {\matrix{ 1 & a & {b + c} \cr 1 & b & {c + a} \cr 1 & c & {a + b} \cr } } \right|$$
3. $$\left| {\matrix{ 0 & c & b \cr { - c} & 0 & a \cr { - b} & { - a} & 0 \cr } } \right|$$
Select the correct answer using the code given below.
1. $$\left| {\matrix{ {41} & 1 & 5 \cr {79} & 7 & 9 \cr {29} & 5 & 3 \cr } } \right|$$
2. $$\left| {\matrix{ 1 & a & {b + c} \cr 1 & b & {c + a} \cr 1 & c & {a + b} \cr } } \right|$$
3. $$\left| {\matrix{ 0 & c & b \cr { - c} & 0 & a \cr { - b} & { - a} & 0 \cr } } \right|$$
Select the correct answer using the code given below.
2
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The system of linear equations $$kx + y + z = 1$$, $$x + ky + z = 1$$ and $$x + y + kz = 1$$ has a unique solution under which one of the following conditions?
3
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The system of equations kx + y + z = 1, x + ky + z = k and x + y + kz = k2 has no solution if k equals.
4
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The value of the determinant $$\left| {\matrix{
{1 - \alpha } & {\alpha - {\alpha ^2}} & {{\alpha ^2}} \cr
{1 - \beta } & {\beta - {\beta ^2}} & {{\beta ^2}} \cr
{1 - \gamma } & {\gamma - {\gamma ^2}} & {{\gamma ^2}} \cr
} } \right|$$ is 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