Chapter 11 – 3D Geometry
1. In each of the following cases, determine the direction cosines of the normal to the plane and the distance from the origin. (a) z = 2
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Nov
1. In each of the following cases, determine the direction cosines of the normal to the plane and the distance from the origin. (a) z = 2 1. In each of the following cases determine the direction cosines of the normal to the plane and the distance from the origin. (a) z = 2 November [...]
13. Show that the lines x-5/7 = y+2/5 = z/1 and x/1 = y/2 = z/3 are perpendicular to each other.
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Nov
13. Show that the lines x-5/7 = y+2/5 = z/1 and x/1 = y/2 = z/3 are perpendicular to each other. 13. Show that the lines x-5/7 = y+2/5 = z/1 and x/1 = y/2 = z/3 are perpendicular to each other. November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT [...]
12. Find the values of p so that the lines 1-x/3 = 7y-14/2p = z-3/2 and 7-7x/3p = y-5/1 = 6-z/3 are at right angles.
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Nov
12. Find the values of p so that the lines 1-x/3 = 7y-14/2p = z-3/2 and 7-7x/3p = y-5/1 = 6-z/3 are at right angles. 12. Find the values of p so that the lines 1-x/3 = 7y-14/2p = z-3/2 and 7-7x/3p = y-5/1 = 6-z/3 are at right angles. November 15, 2021 Category: Chapter [...]
11. Find the angle between the following pair of lines: x/2 = y/2 = z/1 and x-5/4 = y-2/1 = z-3/3
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Nov
11. Find the angle between the following pair of lines: x/2 = y/2 = z/1 and x-5/4 = y-2/1 = z-3/3 11. Find the angle between the following pair of lines: x/2 = y/2 = z/1 and x-5/4 = y-2/1 = z-3/3 November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT [...]
11. Find the angle between the following pair of lines:
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Nov
11. Find the angle between the following pair of lines: 11. Find the angle between the following pair of lines: November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT Exemplar Class 12 ,
10. Find the angle between the following pairs of lines: (i) r = 2i – 5j + k + lamba (3i + 2j + 6k) and r = 7i – 6k + u(i + 2j +2k)
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Nov
10. Find the angle between the following pairs of lines: (i) r = 2i – 5j + k + lamba (3i + 2j + 6k) and r = 7i – 6k + u(i + 2j +2k) 10. Find the angle between the following pairs of lines: (i) r = 2i - 5j + k + [...]
9. Find the vector and the cartesian equations of the line that passes through the points (3, – 2, – 5), (3, – 2, 6).
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Nov
9. Find the vector and the cartesian equations of the line that passes through the points (3, – 2, – 5), (3, – 2, 6). 2 3% 5 6 9. Find the vector and the cartesian equations of the line that passes through the points (3 November 15, 2021 Category: Chapter 11 - 3D Geometry [...]
8. Find the vector and the cartesian equations of the lines that passes through the origin and (5, – 2, 3).
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Nov
8. Find the vector and the cartesian equations of the lines that passes through the origin and (5, – 2, 3). 2 3% 8. Find the vector and the cartesian equations of the lines that passes through the origin and (5 November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT Exemplar [...]
7. The cartesian equation of a line is x-5/3 = y+4/7 = z-6/2 . Write its vector form.
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Nov
7. The cartesian equation of a line is x-5/3 = y+4/7 = z-6/2 . Write its vector form. 7. The cartesian equation of a line is x-5/3 = y+4/7 = z-6/2 . Write its vector form. November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT Exemplar Class 12 ,
6. Find the cartesian equation of the line which passes through the point (– 2, 4, – 5) and parallel to the line given by x + 3/3 = y – 4/5 = 2 + 8/6
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Nov
6. Find the cartesian equation of the line which passes through the point (– 2, 4, – 5) and parallel to the line given by x + 3/3 = y – 4/5 = 2 + 8/6 – 5) and parallel to the line given by x + 3/3 = y - 4/5 = 2 + [...]