1
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If cos $$\alpha$$ and cos $$\beta$$ (0 < $$\alpha$$ < $$\beta$$ < $$\pi$$) are the roots of the quadratic equation 4x2 $$-$$ 3 = 0, then what is the value of sec $$\alpha$$ $$\times$$ sec $$\beta$$ ?
2
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$A = {\sin ^2}\theta + {\cos ^4}\theta $$, then for all real $$\theta$$, which one of the following is correct?
3
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is $${{\sin 5x - \sin 3x} \over {\cos 5x + \cos 3x}}$$ equal to?
4
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If x, x $$-$$ y and x + y are the angles of a triangle (not an equilateral triangle) such that tan (x $$-$$ y), tan x and tan (x + y) are in GP, then what is x equal to?
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