1
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the minimum value of $${[x(x - 1) + 1]^{{1 \over 3}}}$$, where 0 $$\le$$ x $$\le$$ 1 ?
2
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information for the next three items that follow.
Three sides of a trapezium are each equal to 6 cm. Let $$\alpha \in \left( {0,{\pi \over 2}} \right)$$ be the angle between a pair of adjacent sides.
Three sides of a trapezium are each equal to 6 cm. Let $$\alpha \in \left( {0,{\pi \over 2}} \right)$$ be the angle between a pair of adjacent sides.
If the area of the trapezium is the maximum possible, then what is $$\alpha$$ equal to?
3
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information for the next three items that follow.
Three sides of a trapezium are each equal to 6 cm. Let $$\alpha \in \left( {0,{\pi \over 2}} \right)$$ be the angle between a pair of adjacent sides.
Three sides of a trapezium are each equal to 6 cm. Let $$\alpha \in \left( {0,{\pi \over 2}} \right)$$ be the angle between a pair of adjacent sides.
If the area of the trapezium is maximum, what is the length of the fourth side?
4
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information for the next three items that follow.
Three sides of a trapezium are each equal to 6 cm. Let $$\alpha \in \left( {0,{\pi \over 2}} \right)$$ be the angle between a pair of adjacent sides.
Three sides of a trapezium are each equal to 6 cm. Let $$\alpha \in \left( {0,{\pi \over 2}} \right)$$ be the angle between a pair of adjacent sides.
What is the maximum area of the trapezium?
Questions Asked from Application of Derivatives (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