1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Let A(1, -1, 2) and B(2, 1, -1) be the end points of the diameter of the sphere

x2 + y2 + z2 + 2ux + 2vy + 2wz - 1 = 0.  

What is u + v + w equal to ? 
A
-2
B
-1
C
1
D
2
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Let A(1, -1, 2) and B(2, 1, -1) be the end points of the diameter of the sphere

x2 + y2 + z2 + 2ux + 2vy + 2wz - 1 = 0.  

P(x, y, z) is any point on the sphere, then what is PA2 + PB2 equal to ?  
A
15
B
14
C
13
D
6.5
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Consider two lines whose direction ratios are (2, -1, 2) and (k, 3, 5). They are inclined at an angle $\frac{\pi}{4}$

What is the value of k? 
A
4
B
2
C
1
D
-1
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Consider two lines whose direction ratios are (2, -1, 2) and (k, 3, 5). They are inclined at an angle $\frac{\pi}{4}$

What are the direction ratios of a line which is perpendicular to both the lines ?
A
(1, 2, 10)
B
(-1, -2, 10)
C
(11, 12, -10)
D
(11, 2, -10)
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