Maths
Example 10 Find the ratio in which the line segment joining the points (4, 8, 10) and (6, 10, – 8) is divided by the YZ-plane.
30
Oct
Example 10 Find the ratio in which the line segment joining the points (4, 8, 10) and (6, 10, – 8) is divided by the YZ-plane. – 8) is divided by the YZ-plane. 10 10) and (6 8 Example 10 Find the ratio in which the line segment joining the points (4 October 30, 2021 [...]
Example 9 Find the coordinates of the centroid of the triangle whose vertices are (x1 , y1 , z 1 ), (x2 , y2 , z 2 ) and (x3 , y3 , z 3 ).
30
Oct
Example 9 Find the coordinates of the centroid of the triangle whose vertices are (x1 , y1 , z 1 ), (x2 , y2 , z 2 ) and (x3 , y3 , z 3 ). Example 9 Find the coordinates of the centroid of the triangle whose vertices are (x1 x+2 y1) y2) y3 [...]
Example 8 Using section formula, prove that the three points (– 4, 6, 10), (2, 4, 6) and (14, 0, –2) are collinear.
30
Oct
Example 8 Using section formula, prove that the three points (– 4, 6, 10), (2, 4, 6) and (14, 0, –2) are collinear. 10 2 2) are collinear. 4 6 6) and (14 Example 8 Using section formula prove that the three points (– 4 October 30, 2021 Category: Chapter 12 - Introduction to 3D [...]
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10 ,
2 ,
2) are collinear. ,
4 ,
6 ,
6) and (14 ,
Example 8 Using section formula ,
prove that the three points (– 4 ,
Example 7 Find the coordinates of the point which divides the line segment joining the points (1, –2, 3) and (3, 4, –5) in the ratio 2 : 3 (i) internally, and (ii) externally.
30
Oct
Example 7 Find the coordinates of the point which divides the line segment joining the points (1, –2, 3) and (3, 4, –5) in the ratio 2 : 3 (i) internally, and (ii) externally. –5) in the ratio 2 : 3 (i) internally 2 3) and (–3 4 and (ii) externally. Example 7 Find the [...]
Example 6 Find the equation of set of points P such that PA^2 + PB^2 = 2k^2 , where A and B are the points (3, 4, 5) and (–1, 3, –7), respectively.
30
Oct
Example 6 Find the equation of set of points P such that PA^2 + PB^2 = 2k^2 , where A and B are the points (3, 4, 5) and (–1, 3, –7), respectively. 3% 4 5) and (–1 7) Example 6 Find the equation of set of points P such that PA^2 + PB^2 = [...]
Example 5 Are the points A (3, 6, 9), B (10, 20, 30) and C (25, – 41, 5), the vertices of a right angled triangle?
30
Oct
Example 5 Are the points A (3, 6, 9), B (10, 20, 30) and C (25, – 41, 5), the vertices of a right angled triangle? 20 30) and C (25 41 5 6 9 B (10 Example 5 Are the points A (3 the vertices of a right angled triangle? October 30, 2021 Category: [...]
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20 ,
30) and C (25 ,
41 ,
5 ,
6 ,
9 ,
B (10 ,
Example 5 Are the points A (3 ,
the vertices of a right angled triangle? ,
Example 4 Show that the points P (–2, 3, 5), Q (1, 2, 3) and R (7, 0, –1) are collinear.
30
Oct
Example 4 Show that the points P (–2, 3, 5), Q (1, 2, 3) and R (7, 0, –1) are collinear. –1) are collinear. 2 3) and R (7 3% 5 Example 4 Show that the points P (–2 Q (1 October 30, 2021 Category: Chapter 12 - Introduction to 3D Geometry , Maths , [...]
Example 3 Find the distance between the points P(1, –3, 4) and Q (– 4, 1, 2).
30
Oct
Example 3 Find the distance between the points P(1, –3, 4) and Q (– 4, 1, 2). 1 2 3% 4) and Q (– 4 Example 3 Find the distance between the points P(1 October 30, 2021 Category: Chapter 12 - Introduction to 3D Geometry , Maths , NCERT Exemplar Class 11 ,
Example 2 Find the octant in which the points (–3,1,2) and (–3,1,– 2) lie.
30
Oct
Example 2 Find the octant in which the points (–3,1,2) and (–3,1,– 2) lie. – 2) lie. 1 2) and (3 Example 2 Find the octant in which the points (–3 October 30, 2021 Category: Chapter 12 - Introduction to 3D Geometry , Maths , NCERT Exemplar Class 11 ,
Example 1 In Fig 12.3, if P is (2,4,5), find the coordinates of F.
30
Oct
Example 1 In Fig 12.3, if P is (2,4,5), find the coordinates of F. 4 5 Example 1 In Fig 12.3 find the coordinates of F. if P is (2 October 30, 2021 Category: Chapter 12 - Introduction to 3D Geometry , Maths , NCERT Exemplar Class 11 ,