1
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 
2
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
3
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
ABCDEFGH is a cuboid with base ABCD. Let A(0, 0, 0), B(12, 0, 0), C(12, 6, 0) and G(12, 6, 4) be the vertices. If α is the angle between AB and AG; β is the angle between AC and AG, then what is the value of cos 2α + cos 2β? 
A
$\frac{40}{49}$
B
$\frac{64}{49}$
C
$\frac{120}{49}$
D
$\frac{160}{49}$
4
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the angle between the two lines having direction ratios (6, 3, 6) and (3, 3, 0)?
A
$\dfrac{\pi}{6}$
B
$\dfrac{\pi}{4}$
C
$\dfrac{\pi}{3}$
D
$\dfrac{\pi}{2}$
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