Algebra
Sets, Relations and Functions
MCQ (Single Correct Answer)
Quadratic Equations and Inequalities
MCQ (Single Correct Answer)
Sequence And Series
MCQ (Single Correct Answer)
Permutations and Combinations
MCQ (Single Correct Answer)
Three Dimensional Geometry
MCQ (Single Correct Answer)
Trigonometry
Trigonometric Angles and Equations
MCQ (Single Correct Answer)
Inverse Trigonometric Function
MCQ (Single Correct Answer)
Height and Distance
MCQ (Single Correct Answer)
Properties of Triangles
MCQ (Single Correct Answer)
Calculus
Limit, Continuity and Differentiability
MCQ (Single Correct Answer)
Application of Derivatives
MCQ (Single Correct Answer)
Indefinite Integration
MCQ (Single Correct Answer)
Definite Integration
MCQ (Single Correct Answer)
Area Under The Curves
MCQ (Single Correct Answer)
Differential Equations
MCQ (Single Correct Answer)
1
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The area of the square, one of whose diagonals is $$3\widehat i + 4\widehat j$$, is
A
12 sq. units
B
12.5 sq.units
C
25 sq. units
D
156.25 sq. units
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
ABCD is a parallelogram and P is the point of intersection of the diagonals. If O is the origin, then OA + OB + OC + OD is equal to
A
4OP
B
2OP
C
OP
D
Null vector
3
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If b and c are the position vectors of the points B and C respectively, then the position vector of the point D such that BD = 4 BC is
A
4 (c $$-$$ b)
B
$$-$$ 4 (c $$-$$ b)
C
4 c $$-$$ 3 b
D
4 c + 3 b
4
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If the position vector a of the point (5, n) is such that | a | = 13, then the value(s) of n can be
A
$$\pm$$ 8
B
$$\pm$$ 12
C
Only 8
D
Only 12