1
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider a $$\Delta$$ABC satisfying $$2a{\sin ^2}\left( {{C \over 2}} \right) + 2c{\sin ^2}\left( {{A \over 2}} \right) = 2a + 2c - 3b$$
sin A, sin B, sin C are in
2
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
In a triangle ABC, a $$-$$ 2b + c = 0. The value of $$\cot \left( {{A \over 2}} \right)\cot \left( {{C \over 2}} \right)$$ is
3
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following statements :
Statement I
If the line segment joining the points P(m, n) and Q(r, s) subtends an angle $$\alpha$$ at the origin, then $$\cos \alpha = {{ms - nr} \over {\sqrt {({m^2} + {n^2})({r^2} + {s^2})} }}$$.
Statement II
In any triangle ABC, it is true that $${a^2} = {b^2} + {c^2} - 2bc\cos A$$.
Which one of the following is correct in respect of the above two statements?
Statement I
If the line segment joining the points P(m, n) and Q(r, s) subtends an angle $$\alpha$$ at the origin, then $$\cos \alpha = {{ms - nr} \over {\sqrt {({m^2} + {n^2})({r^2} + {s^2})} }}$$.
Statement II
In any triangle ABC, it is true that $${a^2} = {b^2} + {c^2} - 2bc\cos A$$.
Which one of the following is correct in respect of the above two statements?
4
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the area of the triangle with vertices $$\left( {{x_1},{1 \over {{x_1}}}} \right),\left( {{x_2},{1 \over {{x_2}}}} \right),\left( {{x_3},{1 \over {{x_3}}}} \right)$$ ?
Questions Asked from Properties of Triangles (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