1
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider a $$\Delta$$ABC in which $$\cos A + \cos B + \cos C = \sqrt 3 \sin {\pi \over 3}$$
What is the value of $$\cos \left( {{{A + B} \over 2}} \right)\cos \left( {{{B + C} \over 2}} \right)\cos \left( {{{C + A} \over 2}} \right)$$ ?
2
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Given that tan$$\alpha$$ and tan$$\beta$$ are the roots of the equation x2 + bx + c = 0 with b $$\ne$$ 0.
What is tan ($$\alpha$$ + $$\beta$$) equal to?
3
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Given that tan$$\alpha$$ and tan$$\beta$$ are the roots of the equation x2 + bx + c = 0 with b $$\ne$$ 0.
What is $$\sin (\alpha + \beta )sec\alpha sec\beta $$ equal to?
4
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the equation $$k\sin x + \cos 2x = 2k - 7$$
If the equation possesses solution, then what is the minimum value of k?
Questions Asked from Trigonometric Angles and Equations (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