1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If L is the line with direction ratios < 3, -2, 6 > and passing through (1, -1, 1), then what are the coordinates of the points on L whose distance from (1, -1, 1) is 2 units?
A
$\left(-\frac{11}{7}, \frac{13}{7}, \frac{19}{7}\right) $ and $\left(\frac{1}{7}, \frac{3}{7}, \frac{5}{7}\right) $
B
$ \left(\frac{19}{7},-\frac{11}{7}, \frac{13}{7}\right) $ and $\left(-\frac{1}{7}, \frac{3}{7},-\frac{5}{7}\right) $
C
$ \left(\frac{13}{7}, \frac{11}{7}, \frac{19}{7}\right) $ and $\left(-\frac{1}{7},-\frac{3}{7}, \frac{5}{7}\right) $
D
$\left(\frac{13}{7},-\frac{11}{7}, \frac{19}{7}\right)$ and $\left(\frac{1}{7},-\frac{3}{7},-\frac{5}{7}\right)$
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Which one of the planes is parallel to the line $\rm \frac{x-2}{3}=\frac{y-3}{4}=\frac{z-4}{5}$ ?
A
2x + 2y + z - 1 = 0
B
2x - y - 2z + 5 = 0
C
2x + 2y - 2z + 1 = 0
D
x - 2y + z - 1 = 0
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the angle between the lines 2x = 3y = -z and 6x = -y = -4z?
A
B
30°
C
60°
D
90°
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the equation of the sphere concentric with the sphere x2 + y+ z2 - 2x - 6y -8z - 5 = 0 and which passes through the origin?
A
x2 + y+ z2 - 2x - 8z = 0
B
x2 + y+ z2 - 2x - 6y = 0
C
x+ y+ z- 6y - 8z = 0
D
x2 + y+ z2 - 2x - 6y - 8z = 0
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