1. If a line makes angles α, β, γ with the axis then cos 2α + cos 2β + cos 2γ =

2. The line x = 1, y = 2 is

3. The points A (1, 1, 0), B(0, 1, 1), C(1, 0, 1) and D(\(\frac{2}{3}\), \(\frac{2}{3}\), \(\frac{2}{3}\))

4. The angle between the planes 2x – y + z = 6 and x + y + 2z = 7 is

5. The distance of the points (2, 1, -1) from the plane x- 2y + 4z – 9 is

6. The planes \(\vec{r}\)(2\(\hat{i}\) + 3\(\hat{j}\) – 6\(\hat{k}\)) = 7 and

7. The equation of the plane through point (1, 2, -3) which is parallel to the plane 3x- 5y + 2z = 11 is given by

8. Distance of the point (a, β, γ) from y-axis is

9. If the directions cosines of a line are A, k, k, then

10. 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