Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

1. If a line makes angles 90°, 135°, 45° with x, y and z-axes respectively, find its direction cosines.

439 Views

Can a directed line have direction angles 45°, 60°, 120°?

421 Views

3. Can a directed line have direction angles 45°, 45°, 60°?

202 Views

A line makes an angle of $straight pi over 4$ with each of y-axis and z-axis. Find the angle made by it with x-axis.

252 Views

5. Find the direction cosines of x, y and z-axis.

479 Views

6. Find the direction-cosines of a line which makes equal angles with the axes. How many such lines are there?

131 Views

Direction ratios of the line are 2, –1,–2.
Dividing each by

square root of left parenthesis 2 right parenthesis squared plus left parenthesis negative 1 right parenthesis squared plus left parenthesis negative 2 right parenthesis squared end root space equals space square root of 4 plus 1 plus 4 end root space equals space square root of 9 space equals space 3.

the direction cosines of line are

2 over 3 comma space minus 1 third comma space minus 2 over 3.

340 Views

If a line has direction ratios 2, -1, -2, determine its direction cosines.

93 Views

9. If a line has the direction ratios – 18, 12, – 4. then what are its direction cosines?

94 Views

10. Find the direction ratios and the direction cosines of the lines joining the pairs of points:
(–2, 1, 0), (3, 2, 1).

103 Views