1
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
$\dfrac{\pi}{2}$
2
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If l, m, n are the direction cosines of the line x - 1 = 2(y + 3) = 1 - z, then what is l4 + m4 + n4 equal to?
A
1
B
$\dfrac{11}{27}$
C
$\dfrac{13}{27}$
D
4
3
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the number of possible values of k for which the line joining the points (k, 1, 3) and (1, -2, k + 1) also passes through the point (15, 2, -4)?
A
Zero
B
One
C
Two
D
Infinite
4
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
The foot of the perpendicular drawn from the origin to the plane x + y + z = 3 is
A
(0, 1, 2)
B
(0, 0, 3)
C
(1, 1, 1)
D
(-1, 1, 3)
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