1
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
The locus of a point P(x, y, z) which moves in such a way that z = 7 is a
A
line parallel to x - axis
B
line parallel to y - axis
C
line parallel to z - axis
D
plane parallel to xy - plane
2
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following statements:

1. A-line in space can have infinitely many direction ratios.

2. It is possible for certain lines that the sum of the squares of direction cosines can be equal to the sum of its direction cosines.

Which of the above statements is/are correct?

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
3
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
The xy-plane divides the line segment joining the points (-1, 3, 4) and (2, -5, 6)
A
internally in the ratio 2 ∶ 3 
B
internally in the ratio 3 ∶ 2 
C
externally in the ratio 2 ∶ 3 
D
internally in the ratio 2 ∶ 1 
4
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
The number of spheres of radius r touching the coordinate axes is
A
4
B
6
C
8
D
infinite
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12