1
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following statements in respect of the function y = [x], x ∈ (-1, 1) where [.] is the greatest integer function:
1. Its derivative is 0 at x = 0.5
2. It is continuous at x = 0
Which of the above statements is/are correct?
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
What is the domain of the function $f(x) =\sqrt{1 - (x-1)^2} \ ?$
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
If $4f(x) - f \left(\frac{1}{x}\right)=\left(2x+\frac{1}{x}\right)\left(2x-\frac{1}{x}\right),$ then what is f(2) equal to?
4
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
If f(x) = 4x + 3, then what is f o f o f(-1) equal to?
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
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