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 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If the vectors $$a\widehat i + \widehat j + \widehat k$$, $$\widehat i + b\widehat j + \widehat k$$ and $$\widehat i + \widehat j + c\widehat k$$ (a, b, c $$\ne$$ 1) are coplanar, then the value of $${1 \over {1 - a}} + {1 \over {1 - b}} + {1 \over {1 - c}}$$ is equal to
A
0
B
1
C
a + b + c
D
abc
2
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$a = \widehat i - \widehat j + \widehat k$$, $$b = 2\widehat i + 3\widehat j + 2\widehat k$$ and $$c = \widehat i + m\widehat j + n\widehat k$$ are three coplanar vectors and $$\left| c \right| = \sqrt 6 $$, then which one of the following is correct?
A
m = 2 and n = $$\pm$$ 1
B
m = $$\pm$$ 2 and n = $$-$$1
C
m = 2 and n = $$-$$1
D
m = $$\pm$$ 2 and n = 1
3
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Let ABCD be a parallelogram whose diagonals intersect at P and let O be the origin. What is OA + OB + OC + OD equal to ?
A
2OP
B
4OP
C
6OP
D
8OP
4
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
ABCD is a quadrilateral whose diagonals are AC and BD. Which one of the following is correct?
A
BA + CD = AC + DB
B
BA + CD = BD + CA
C
BA + CD = AC + BD
D
BA + CD = BC + AD