1
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The principal value of $${\sin ^{ - 1}}x$$ lies in the interval
2
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Let x, y, z be positive real numbers such that x, y, z are in GP and $${\tan ^{ - 1}}x$$, $${\tan ^{ - 1}}y$$ and $${\tan ^{ - 1}}z$$ are in AP. Then which one of the following is correct?
3
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the value of $$\cos (2{\cos ^{ - 1}}0.8)$$ ?
4
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following values of x
1. 8
2. $$-$$4
3. $${1 \over 6}$$
4. $$-$$ $${1 \over 4}$$
Which of the above values of x is/are the solution(s) of the equation $${\tan ^{ - 1}}(2x) + {\tan ^{ - 1}}(3x) = {\pi \over 4}$$ ?
1. 8
2. $$-$$4
3. $${1 \over 6}$$
4. $$-$$ $${1 \over 4}$$
Which of the above values of x is/are the solution(s) of the equation $${\tan ^{ - 1}}(2x) + {\tan ^{ - 1}}(3x) = {\pi \over 4}$$ ?
Questions Asked from Inverse Trigonometric Function (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