# Three Dimensional Geometry · Mathematics · NDA

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NDA Mathematics 21 April 2024
If (1, −1, 2) and (2, 1, −1) are the end points of a diameter of a sphere $x^2 + y^2 + z^2 + 2ux + 2vy + 2wz − 1 = 0$, then what is $u + v + w$ equal ...
NDA Mathematics 21 April 2024
If $\langle l, m, n \rangle$ are the direction cosines of a normal to the plane $2x − 3y + 6z + 4 = 0$, then what is the value of $49(7l^2 + m^2 − n^2... NDA Mathematics 21 April 2024 A line through$(1, −1, 2)$with direction ratios$\langle 3, 2, 2 \rangle$meets the plane$x + 2y + 3z = 18$. What is the point of intersection of l... NDA Mathematics 21 April 2024 If$p$is the perpendicular distance from origin to the plane passing through$(1, 0, 0)$,$(0, 1, 0)$and$(0, 0, 1)$, then what is$3p^2$equal to?... NDA Mathematics 3 September 2023 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 o... NDA Mathematics 3 September 2023 Which one of the planes is parallel to the line$\rm \frac{x-2}{3}=\frac{y-3}{4}=\frac{z-4}{5}\$ ?
NDA Mathematics 3 September 2023
What is the angle between the lines 2x = 3y = -z and 6x = -y = -4z?
NDA Mathematics 3 September 2023
What is the equation of the sphere concentric with the sphere x2 + y2 + z2 - 2x - 6y -8z - 5 = ...
NDA Mathematics 3 September 2023
A point P lies on the line joining A(1, 2, 3) and B(2, 10, 1). If z-coordinate of P is 7, what is the sum of other two coordinates?
NDA Mathematics 16 April 2023
What is u + v + w equal to ?
NDA Mathematics 16 April 2023
P(x, y, z) is any point on the sphere, then what is PA2 + PB2 equal to ?
NDA Mathematics 16 April 2023
What is the value of k?
NDA Mathematics 16 April 2023
What are the direction ratios of a line which is perpendicular to both the lines ?
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