ExamSIDE (Powered by ExamGOAL)
Questions
PREVIOUS NEXT
1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Let sin β be the GM of sin α and cos α; tan γ be the AM of sin α and cos α.

What is cos 2β equal to ?
A
$(\cos \alpha-\sin \alpha)^2$
B
$(\cos \alpha+\sin \alpha)^2$
C
$(\cos \alpha-\sin \alpha)^3$
D
$\frac{(\cos \alpha-\sin \alpha)^2}{2}$
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Let sin β be the GM of sin α and cos α; tan γ be the AM of sin α and cos α.

What is the value of sec2γ?
A
$\frac{3-\sin 2 \alpha}{5+2 \sin 2 \alpha}$
B
$\frac{5+\sin 2 \alpha}{3-\sin 2 \alpha}$
C
$\frac{3-2 \sin 2 \alpha}{4+\sin 2 \alpha}$
D
$\frac{3-\sin 2 \alpha}{4+3 \sin 2 \alpha}$
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Let $x=\frac{\sin ^2 A+\sin A+1}{\sin A}$ where 0 < A ≤ $\frac{\pi}{2}$

What is the minimum value of x ?
A
1
B
2
C
3
D
4
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Let $x=\frac{\sin ^2 A+\sin A+1}{\sin A}$ where 0 < A ≤ $\frac{\pi}{2}$

At what value of A does x attain the minimum value ?
A
$\frac{\pi}{6}$
B
$\frac{\pi}{4}$
C
$\frac{\pi}{3}$
D
$\frac{\pi}{2}$
PREVIOUS NEXT
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
Coordinate System and Straight Line Circle Parabola Ellipse Hyperbola
Calculus
Functions Limit, Continuity and Differentiability Differentiation Application of Derivatives Indefinite Integration Definite Integration Area Under The Curves Differential Equations
English
Reading Comprehension Synonyms Antonyms Cloze Rearranging Sentences in a Paragraph Idioms and Phrases Word Classes Sentence Completion Improvement of Sentence
General Science
Physics Chemistry Biology
General Studies
History Geography Polity Economy General Knowledge
EXAM MAP
Joint Entrance Examination
JEE MainJEE AdvancedWB JEEBITSATMHT CETKCETCOMEDKVITEEEAP EAPCET
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12