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Class 12 Maths Practice Test - Three Dimensional Geometry
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Class 12 Maths Practice Test - Three Dimensional Geometry
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10 Questions

1. If a, b, c are the direction ratios of the line and l, m, n are the direction cosines of the line, then which of the following is true?
2. If a line makes an angle of 120°, 45°, 30° with the positive x, y, z-axis respectively then find the direction cosines.
3. If the direction ratios of a line are 5, 4, -7 respectively, then find the direction cosines.
4. If a line makes an angle of 60°, 150°, 45° with the positive x, y, z-axis respectively, find its direction cosines.
5. The direction ratios of the line segment joining \(P(x_1,y_1,z_1)\) and \(Q(x_2,y_2,z_2)\) is given by _______, ____________ and __________
6. If the direction cosines of the line are \(\frac{1}{2},-\frac{\sqrt{3}}{2}\),x respectively, then find the value of x.
7. Find the direction cosines of the line passing through two points P(-6,7,3) and Q(3,-2,5).
8. Find the direction cosines of the line passing through two points (4, -5, -6) and (-1, 2, 8).
9. If a, b, c are the direction ratios of the line and l, m, n are the direction cosines of the line, then which of the following is incorrect?
10. If a line has direction ratios 2, -3, 7 then find the direction cosines.

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