The line x = 1, y = 2 is
  • parallel to x-axis
  • parallel to y-axis
  • parallel to z-axis
  • None of these
The points A (1, 1, 0), B(0, 1, 1), C(1, 0, 1) and D(\(\frac{2}{3}\), \(\frac{2}{3}\), \(\frac{2}{3}\))
  • Coplanar
  • Non-coplanar
  • Vertices of a parallelogram
  • None of these
The angle between the planes 2x – y + z = 6 and x + y + 2z = 7 is
  • \(\frac{π}{4}\)
  • \(\frac{π}{6}\)
  • \(\frac{π}{3}\)
  • \(\frac{π}{2}\)
The distance of the points (2, 1, -1) from the plane x- 2y + 4z – 9 is
  • \(\frac{\sqrt{31}}{21}\)
  • \(\frac{13}{21}\)
  • \(\frac{13}{\sqrt{21}}\)
  • \(\sqrt{\frac{π}{2}}\)
The planes \(\vec{r}\)(2\(\hat{i}\) + 3\(\hat{j}\) – 6\(\hat{k}\)) = 7 and
  • parallel
  • at right angles
  • equidistant front origin
  • None of these
The equation of the plane through point (1, 2, -3) which is parallel to the plane 3x- 5y + 2z = 11 is given by
  • 3x – 5y + 2z – 13 = 0
  • 5x – 3y + 2z + 13 = 0
  • 3x – 2y + 5z + 13 = 0
  • 3x – 5y + 2z + 13 = 0
Distance of the point (a, β, γ) from y-axis is
  • β
  • |β|
  • |β + γ|
  • \(\sqrt{α^2+γ^2}\)
If the directions cosines of a line are A, k, k, then
  • k > 0
  • 0 < k < 1
  • k = 1
  • k = \(\frac{1}{√3}\) or –\(\frac{1}{√3}\)
The distance of the plane \(\vec{r}\)(\(\frac{-2}{7}\)\(\hat{i}\) – \(\frac{3}{7}\)\(\hat{j}\) + \(\frac{6}{7}\)\(\hat{k}\)) = 0 from the orgin is
  • 1
  • 7
  • \(\frac{1}{7}\)
  • None of these
The sine of the angle between the straight line \(\frac{x-2}{3}\) = \(\frac{y-3}{4}\) = \(\frac{z-4}{5}\) and the plane 2x – 2y + z = 5 is
  • \(\frac{10}{6√5}\)
  • \(\frac{4}{5√2}\)
  • \(\frac{2√3}{5}\)
  • \(\sqrt{\frac{√2}{10}}\)
The reflection of the point (a, β, γ) in the xy-plane is
  • (α, β, 0)
  • (0, 0, γ)
  • (- α, – β, γ)
  • (α, β, γ)
The area of the quadrilateral ABCD, where A(0, 4, 1), B(2, 3, -1), C(4, 5, 0) and D(2, 6, 2) is equal to
  • 9 sq. units
  • 18 sq. units
  • 27 sq. units
  • 81 sq. units
The plane 2x – 3y + 6z – 11 = 0 makes an angle sin
  • \(\frac{√3}{2}\)
  • \(\frac{√2}{3}\)
  • \(\frac{2}{7}\)
  • \(\frac{3}{7}\)
The cosines of the angle between any two diagonals of a cube is
  • \(\frac{1}{3}\)
  • \(\frac{1}{2}\)
  • \(\frac{2}{3}\)
  • \(\frac{1}{√3}\)
The direction cosines of any normal to the xy plane are
  • 1, 0 ,0
  • 0, 1, 0
  • 1, 1, 0
  • None of the above
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