6
Example 13 The centroid of a triangle ABC is at the point (1, 1, 1). If the coordinates of A and B are (3, –5, 7) and (–1, 7, – 6), respectively, find the coordinates of the point C.
30
Oct
Example 13 The centroid of a triangle ABC is at the point (1, 1, 1). If the coordinates of A and B are (3, –5, 7) and (–1, 7, – 6), respectively, find the coordinates of the point C. 1 1). If the coordinates of A and B are (3 5 6 7) 7) and [...]
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 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? ,
Find the equation for the ellipse that satisfies the given conditions: 19. Centre at (0,0), major axis on the y-axis and passes through the points (3, 2) and (1,6).
30
Oct
Find the equation for the ellipse that satisfies the given conditions: 19. Centre at (0,0), major axis on the y-axis and passes through the points (3, 2) and (1,6). -2) and (-1 0 ) 6 Find the equation for the ellipse that satisfies the given conditions: 19. Centre at (0 major axis on the y-axis [...]
10. Find the equation of the line passing through (–3, 5) and perpendicular to the line through the points (2, 5) and (–3, 6).
30
Oct
10. Find the equation of the line passing through (–3, 5) and perpendicular to the line through the points (2, 5) and (–3, 6). 10. Find the equation of the line passing through (–3 5) and (–3 5) and perpendicular to the line through the points (2 6 October 30, 2021 Category: Chapter 10 - [...]
1. Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. (ii) {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7)}
22
Oct
1. Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. (ii) {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7)} -12 1 1. Which of the following relations are functions? Give reasons. If it is a function 10 14 2 [...]
3. A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y): the difference between x and y is odd; x ∈ A, y ∈ B}. Write R in roster form.
22
Oct
3. A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y): the difference between x and y is odd; x ∈ A, y ∈ B}. Write R in roster form. 2 3. A = {1 3% 5) and B(– 4 [...]
Let A = (1, 2}, B = [1, 2, 3, 4}, C = { 5, 6} and D = (5, 6, 7, 8}. Verify that (i) A x (B∩C) = (A x B)∩(A x C). (ii) A x C is a subset B x D.
22
Oct
Let A = (1, 2}, B = [1, 2, 3, 4}, C = { 5, 6} and D = (5, 6, 7, 8}. Verify that (i) A x (B∩C) = (A x B)∩(A x C). (ii) A x C is a subset B x D. 2 3% 4 6 6} and D = (5 7) [...]
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2 ,
3% ,
4 ,
6 ,
6} and D = (5 ,
7) ,
8}. Verify that (i) A x (B∩C) = (A x B)∩(A x C). (ii) A x C is a subset B x D. ,
B(-1 ,
C = {5 ,
Let A = {1 ,
If U = {1, 2, 3, 4, 5,6,7,8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that.
13
Oct
If U = {1, 2, 3, 4, 5,6,7,8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that. 2 3% 4 5 6 7) 7}. Verify that. 8 8} and B = {2 9 A = {2 If U = {1 October 13, 2021 Category: Chapter 1 - Sets [...]
Let U ={1, 2, 3; 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}.
13
Oct
Let U ={1, 2, 3; 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. –3/4 2 3% 4 5 6 7) 8 8} and C = {3 9 a=–1 b=–2 Let U = {1 October 13, 2021 Category: Chapter [...]