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 1
MCQ (Single Correct Answer)
+2.5
-0.83
A straight line with direction cosines <0, 1, 0> is
A
parallel to X-axis
B
parallel to Y-axis
C
parallel to Z-axis
D
equally inclined to all the axes
2
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
(0, 0, 0), (a, 0, 0), (0, b, 0) and (0, 0, c) are four distinct points. What are the coordinates of the point which is equidistant from the four points?
A
$$\left( {{{a + b + c} \over 3},{{a + b + c} \over 3},{{a + b + c} \over 3}} \right)$$
B
(a, b, c)
C
$$\left( {{a \over 2},{b \over 2},{c \over 2}} \right)$$
D
$$\left( {{a \over 3},{b \over 3},{c \over 3}} \right)$$
3
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The points P(3, 2, 4), Q(4, 5, 2), R(5, 8, 0) and S(2, $$-$$1, 6) are
A
vertices of a rhombus which is not a square
B
non-coplanar
C
collinear
D
coplanar but not collinear
4
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The line passing through the points (1, 2, $$-$$1) and (3, $$-$$1, 2) meets the yz-plane at which one of the following points?
A
$$\left( {0, - {7 \over 2},{5 \over 2}} \right)$$
B
$$\left( {0,{7 \over 2},{1 \over 2}} \right)$$
C
$$\left( {0, - {7 \over 2}, - {5 \over 2}} \right)$$
D
$$\left( {0,{7 \over 2}, - {5 \over 2}} \right)$$