1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next two (02) items that follow :
Let A(1, -1, 2) and B(2, 1, -1) be the end points of the diameter of the sphere
x2 + y2 + z2 + 2ux + 2vy + 2wz - 1 = 0.
P(x, y, z) is any point on the sphere, then what is PA2 + PB2 equal to ?
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next two (02) items that follow :
Consider two lines whose direction ratios are (2, -1, 2) and (k, 3, 5). They are inclined at an angle $\frac{\pi}{4}$
What is the value of k?
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next two (02) items that follow :
Consider two lines whose direction ratios are (2, -1, 2) and (k, 3, 5). They are inclined at an angle $\frac{\pi}{4}$
What are the direction ratios of a line which is perpendicular to both the lines ?
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