1
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If the plane P touches the sphere $${x^2} + {y^2} + {z^2} = {r^2}$$, then what is r equal to?
2
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The length of the normal from origin to the plane x + 2y $$-$$ 2z = 9 is equal to
3
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\alpha$$, $$\beta$$ and $$\gamma$$ are the angles which the vector OP (O being the origin) makes with positive direction of the coordinate axes, then which of the following are correct?
1. $${\cos ^2}\alpha + {\cos ^2}\beta = {\sin ^2}\gamma $$
2. $${\sin ^2}\alpha + {\sin ^2}\beta = {\cos ^2}\gamma $$
3. $${\sin ^2}\alpha + {\sin ^2}\beta + {\sin ^2}\gamma = 2$$
Select the correct answer using the code given below.
1. $${\cos ^2}\alpha + {\cos ^2}\beta = {\sin ^2}\gamma $$
2. $${\sin ^2}\alpha + {\sin ^2}\beta = {\cos ^2}\gamma $$
3. $${\sin ^2}\alpha + {\sin ^2}\beta + {\sin ^2}\gamma = 2$$
Select the correct answer using the code given below.
4
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The point of intersection of the line joining the points ($$-$$3, 4, $$-$$8) and (5, $$-$$6, 4) with XY-plane is
Questions Asked from Three Dimensional Geometry (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