1
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
In which one of the following intervals is the function $$f(x) = {x^2} - 5x + 6$$ decreasing?
2
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A flower-bed in the form of a sector has been fenced by a wire of 40 m length. If the flower-bed has the greatest possible area, then what is the radius of the sector?
3
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 ?
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.
If the area of the trapezium is the maximum possible, then what is $$\alpha$$ equal to?
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 FunctionsLogarithmsQuadratic Equations and InequalitiesSequence And SeriesBinomial TheoremMatricesDeterminantsPermutations and CombinationsProbabilityComplex NumbersVector AlgebraThree Dimensional GeometryStatistics
Trigonometry
Trigonometric Angles and EquationsInverse Trigonometric FunctionHeight and DistanceProperties of Triangles
Coordinate Geometry
Calculus
English
General Studies