1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What are the direction cosines of Z-axis?
A
<1, 1, 1>
B
<1, 0, 0>
C
<0, 1, 0>
D
<0, 0, 1>
2
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction: Consider the following for the items that follow:

Let 2x2 + 2y2 + 2z2 + 3x + 3y + 3z - 6 = 0 be a sphere.

What is the diameter of the sphere? 
1
$\frac{5\sqrt3}{4}$
2
$\frac{5\sqrt3}{2}$
3
$\frac{3\sqrt5}{4}$
4
$\frac{3\sqrt5}{2}$
3
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction: Consider the following for the items that follow:

Let 2x2 + 2y2 + 2z2 + 3x + 3y + 3z - 6 = 0 be a sphere.

The centre of the sphere lies on the plane 
1
2x + 2y + 2z - 3 = 0
2
4x + 4y + 4z - 3 = 0
3
4x + 8y + 8z - 15 = 0
4
4x + 8y + 8z + 15 = 0
4
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction: Consider the following for the items that follow:

Let S be the line of intersection of two planes x + y + z = 1 and 2x + 3y - 4z = 8.  

Which of the following are the direction ratios of S? 
1
〈-7, -6, 1〉
2
〈-7, 6, 1〉
3
〈-6, 5, 1〉
4
〈6, 5, 1〉
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