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CLASS-XII,WORKSHEETS
THREE DIMENSIONAL GEOMETRY
CHAPTER-11
Q1. . Direction ratios of a line are 2, 3, -6. Then direction cosines of a line making obtuse angle
with the y-axis are
Q2. Distance of plane r⃗ ⋅(2i^+3i^−6k^)+2=0, from origin is
(a) 2
(b) 14
(c) 2/7
(d) –2/7
Q3. The line joining the points (0, 5, 4) and (1, 3, 6) meets XY-plane at the point
________.
Q4. . A line makes angles π/4,3π/4 with x-axis and y-axis respectively. Then the angle which
it makes with z-axis can be ________
Q5. . Find the direction cosines of the line passing through the following points: (-2, 4, -5),
(1, 2, 3)
Q6. . The Cartesian equation of a line AB is
Find the direction cosines of a line parallel to AB.
Q7. Write the Cartesian equation of the following line given in vector form:
