| 2023-07-03 | Prove that the tetrahedron with vertices at the points \( O(0,0,0) \), \( A(0,1,1), B(1,0,1) \) ... |
| 2023-07-03 | Show that the points \( (3,2,2),(-1,4,2),(0,5,6),(2,1,2) \) lie on a sphere whose centre is \( (... |
| 2023-07-03 | Prove that the point \( A(1,3,0), B(-5,5,2), C(-9,-1,2) \) and \( D(-3,-3,0) \) taken is order a... |
| 2023-07-03 | Using distance formula prove that the following points are collinear:
(i) \( A(4,-3,-1), B(5,-7,... |
| 2023-07-03 | If the points \( A(3,2,-4), B(9,8,-10) \) and \( C(5,4,-6) \) are collinear, find the ratio in w... |
| 2023-07-03 | Show that the points \( A(3,3,3), B(0,6,3), C(1,7,7) \) and \( D(4,4,7) \) are the vertices of a... |
| 2023-07-03 | Show that the points \( (0,7,10),(-1,6,6) \) and \( (-4,9,6) \) are the vertices of right-angled... |
| 2023-07-03 | Prove that the triangle formed by joining the three points whose coordinates are \( (1,2,3),(2,3... |
| 2023-07-03 | Find the ratio in which the line joining \( (2,4,5) \) and \( (3,5,4) \) is divided by the \( y ... |
| 2023-07-03 | Show that the points \( (-2,3,5),(1,2,3) \) and \( (7,0,-1) \) are collinear. |
| 2023-07-03 | Find the centroid of a triangle, mid-points of whose sides are \( (1,2,-3),(3,0,1) \) and \( (-1... |
| 2023-07-03 | Find the distance between the following pairs of points:
(i) \( (2,3,5) \) and \( (4,3,1) \)
(ii... |
| 2023-07-03 | Find the distance between the following pairs of points :
(i) \( P(1,-1,0) \) and \( Q(2,1,2) \)... |
| 2023-07-03 | The coordinates of a point are \( (3,-2,5) \). Write down the coordinates of seven points such t... |
| 2023-07-03 | The points \( (5,-4,2),(4,-3,1),(7,6,4) \) and \( (8,-7,5) \) are the vertices of
(a) A rectangl... |
| 2023-07-03 | In a three dimensional space the equation \( x^{2}-5 x+6=0 \) represents
(a) Points
(b) Planes
(... |
| 2023-07-03 | Let \( (3,4,-1) \) and \( (-1,2,3) \) be the end points of a diameter of a sphere. Then, the rad... |
| 2023-07-03 | If \( P(0,1,2), Q(4,-2,1) \) and \( O(0,0,0) \) are three points, then \( \angle P O Q \) is
(a)... |
| 2023-07-03 | If the extremities of the diagonal of a square are \( (1,-2,3) \) and \( (2,-3,5) \), then the l... |
| 2023-07-03 | A point \( C \) with \( Z \)-coordinate 8 lies on the line segment joining the point \( A(2,-3,4... |
| 2023-07-03 | The centroid of a triangle \( A B C \) is at the point \( (1,1,1) \). If the coordinates of \( A... |
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