1
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If the roots of the equation x2 $$-$$ nx + m = 0 differ by 1, then
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If a, b and c are the sides of a $$\Delta$$ABC, then $${a^{{1 \over p}}} + {b^{{1 \over p}}} - {c^{{1 \over p}}}$$, where p > 1, is
3
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information carefully and answer the questions given below.
Let $$\alpha$$ and $$\beta$$ be the roots of the equation $${x^2} - (1 - 2{a^2})x + (1 - 2{a^2}) = 0$$.
Let $$\alpha$$ and $$\beta$$ be the roots of the equation $${x^2} - (1 - 2{a^2})x + (1 - 2{a^2}) = 0$$.
Under what condition does the above equation have real roots?
4
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information carefully and answer the questions given below.
Let $$\alpha$$ and $$\beta$$ be the roots of the equation $${x^2} - (1 - 2{a^2})x + (1 - 2{a^2}) = 0$$.
Let $$\alpha$$ and $$\beta$$ be the roots of the equation $${x^2} - (1 - 2{a^2})x + (1 - 2{a^2}) = 0$$.
Under what condition is $${1 \over {{\alpha ^2}}} + {1 \over {{\beta ^2}}} < 1$$?
Questions Asked from Quadratic Equations and Inequalities (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