1
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
For the system of linear equations 2x + 3y + 5z = 9, 7x + 3y $$-$$ 2z = 8 and 2x + 3y + $$\lambda$$z = $$\mu$$
Under what condition does the above system of equations have unique solutions?
2
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If A is a square matrix of order 3 and det A = 5, then what is det {2 (A)$$-$$1} equal to?
3
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$a{x^3} + b{x^2} + cx + d = \left| {\matrix{
{x - 1} & {2x} & {3x} \cr
{2x + 3} & {x + 1} & x \cr
{2 - x} & {3x + 4} & {5x - 1} \cr
} } \right|$$
What is the value of c?
4
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$a{x^3} + b{x^2} + cx + d = \left| {\matrix{
{x - 1} & {2x} & {3x} \cr
{2x + 3} & {x + 1} & x \cr
{2 - x} & {3x + 4} & {5x - 1} \cr
} } \right|$$
What is the value of a + b + c + d ?
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