1
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the function
$$f(x) = \left| {\matrix{ {{x^3}} & {\sin x} & {\cos x} \cr 6 & { - 1} & 0 \cr p & {{p^2}} & {{p^3}} \cr } } \right|$$,
where p is a contant.
$$f(x) = \left| {\matrix{ {{x^3}} & {\sin x} & {\cos x} \cr 6 & { - 1} & 0 \cr p & {{p^2}} & {{p^3}} \cr } } \right|$$,
where p is a contant.
What is the value of f'(0) ?
2
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the function
$$f(x) = \left| {\matrix{ {{x^3}} & {\sin x} & {\cos x} \cr 6 & { - 1} & 0 \cr p & {{p^2}} & {{p^3}} \cr } } \right|$$,
where p is a contant.
$$f(x) = \left| {\matrix{ {{x^3}} & {\sin x} & {\cos x} \cr 6 & { - 1} & 0 \cr p & {{p^2}} & {{p^3}} \cr } } \right|$$,
where p is a contant.
What is the value of p for which f''(0) = 0 ?
3
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$y = {\log _{10}}x + {\log _x}10 + {\log _x}x + {\log _{10}}10$$, then what is $${\left( {{{dy} \over {dx}}} \right)_{x = 10}}$$ equal to ?
4
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Let f : R $$\to$$ R be a function such that f(x) = x3 + x2f' (1) + xf''(2) + f'''(3) for x $$\in$$ R.
What is f(1) equal to ?
Questions Asked from Differentiation (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