4
5. Find the vector and cartesian equations of the planes (b) that passes through the point (1,4, 6) and the normal vector to the plane is i – 2j + k
15
Nov
5. Find the vector and cartesian equations of the planes (b) that passes through the point (1,4, 6) and the normal vector to the plane is i – 2j + k 4 5. Find the vector and cartesian equations of the planes (b) that passes through the point (1 6) and the normal vector to [...]
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
15
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 + [...]
2. Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6).
15
Nov
2. Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6). – 2) is perpendicular to the line through the points (0 1 2 2. Show that the line through the points (1 2) and [...]
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– 2) is perpendicular to the line through the points (0 ,
1 ,
2 ,
2. Show that the line through the points (1 ,
2) and (3 ,
3% ,
4 ,
5 ,
6 ,
5. Find the direction cosines of the sides of the triangle whose vertices are (3, 5, – 4), (– 1, 1, 2) and (– 5, – 5, – 2).
15
Nov
5. Find the direction cosines of the sides of the triangle whose vertices are (3, 5, – 4), (– 1, 1, 2) and (– 5, – 5, – 2). 1 2 2) and (– 5 4 5 5. Find the direction cosines of the sides of the triangle whose vertices are (3 November 15, 2021 [...]
4. Show that the points (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear.
15
Nov
4. Show that the points (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear. 1 2 3% 4 4. Show that the points (2 5 7) are collinear 8 November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT Exemplar Class 12 ,
3. If a line has the direction ratios – 18, 12, – 4, then what are its direction cosines ?
15
Nov
3. If a line has the direction ratios – 18, 12, – 4, then what are its direction cosines ? -12 3. If a line has the direction ratios – 18 4 then what are its direction cosines ? November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT Exemplar Class 12 [...]
Example 7 Find the vector equation for the line passing through the points (–1, 0, 2) and (3, 4, 6).
15
Nov
Example 7 Find the vector equation for the line passing through the points (–1, 0, 2) and (3, 4, 6). 2) and (3 4 6 Example 7 Find the vector equation for the line passing through the points (–1 November 15, 2021 Category: Chapter 11 - 3D Geometry , Maths , NCERT Exemplar Class 12 [...]
Example 5 Show that the points A (2, 3, – 4), B (1, – 2, 3) and C (3, 8, – 11) are collinear.
15
Nov
Example 5 Show that the points A (2, 3, – 4), B (1, – 2, 3) and C (3, 8, – 11) are collinear. – 11) are collinear. 2 3) and C (3 3% 4 8 B(-1 Example 5 Show that the points A (2 November 15, 2021 Category: Chapter 11 - 3D Geometry , [...]
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– 11) are collinear. ,
2 ,
3) and C (3 ,
3% ,
4 ,
8 ,
B(-1 ,
Example 5 Show that the points A (2 ,
Example 3 Find the direction cosines of the line passing through the two points (– 2, 4, – 5) and (1, 2, 3).
15
Nov
Example 3 Find the direction cosines of the line passing through the two points (– 2, 4, – 5) and (1, 2, 3). 2 3% 4 5) and (–1 Example 3 Find the direction cosines of the line passing through the two points (– 2 November 15, 2021 Category: Chapter 11 - 3D Geometry , [...]
6.If A and B be the points (3, 4, 5) and (–1, 3, –7), respectively, find the equation of the set of points P such that PA^2 + PB^2 = k^2 , where k is a constant.
30
Oct
6.If A and B be the points (3, 4, 5) and (–1, 3, –7), respectively, find the equation of the set of points P such that PA^2 + PB^2 = k^2 , where k is a constant. 3% 4 5) and (–1 6.If A and B be the points (3 7) find the equation of [...]