1
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following statements :
Statement I The function f : R $$\to$$ R such that f(x) = x3 for all x$$\in$$R is one-one.
Statement II f(a) = f(b) $$\Rightarrow$$ a = b for all a, b $$\in$$R, if the function f is one-one.
Which one of the following is correct in respect of the above statements ?
Statement I The function f : R $$\to$$ R such that f(x) = x3 for all x$$\in$$R is one-one.
Statement II f(a) = f(b) $$\Rightarrow$$ a = b for all a, b $$\in$$R, if the function f is one-one.
Which one of the following is correct in respect of the above statements ?
2
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$f({x_1}) - f({x_2}) = f\left( {{{{x_1} - {x_2}} \over {1 - {x_1}{x_2}}}} \right)$$ for x1, x2 $$\in$$($$-$$1, 1), then what is f(x) equal to ?
3
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the range of the function $$y = {{{x^2}} \over {1 + {x^2}}}$$ where x$$\in$$R ?
4
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the function $$f(x) = {{27({x^{2/3}} - x)} \over 4}$$.
How many solutions does the function f(x) = 1 have ?
Questions Asked from Functions (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