1
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (2) items that follow :

Let the plane $\frac{2x}{k} + \frac{2y}{3} + \frac{z}{3} = 2 $ pass through the point (2, 3, -6).

What are the direction ratios of the normal to the plane ?
A
<3, 2, 1>
B
<2, 3, 6>
C
<6, 3, 2>
D
<1, 2, 3>
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (2) items that follow :

Let the plane $\frac{2x}{k} + \frac{2y}{3} + \frac{z}{3} = 2 $ pass through the point (2, 3, -6).

If p, q and r are the intercepts made by the plane on the coordinate axes respectively, then what is (p + q + r) equal to ?
A
10
B
11
C
12
D
13
3
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
$\dfrac{\pi}{2}$
4
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
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