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... |
2023-07-03 | \( A(1,2,3), B(0,4,1), C(-1,-1,-3) \) are the vertices of a triangle \( A B C \). Find the point... |
2023-07-03 | Find the image of the point \( (-4,0,1) \) in the \( X Y \)-plane.
(a) \( (4,0,1) \)
(b) \( (-4,... |
2023-07-03 | Find the ratio in which the line segment joining the points \( (2,-1,3) \) and \( (-1,2,1) \) is... |
2023-07-03 | Find the points on \( z \)-axis which are at a distance \( \sqrt{21} \) from the point \( (1,2,3... |
2023-07-03 | Let \( P \) and \( Q \) be any two points. Find the coordinates of the point \( R \) which divid... |
2023-07-03 | Find the coordinates of a point equidistant from the four points \( O(0,0,0), A(a, 0,0), B(0, b,... |
2023-07-03 | Find the point on \( y \)-axis which is equidistant from the points \( (3,1,2) \) and \( (5,5,2)... |
2023-07-03 | Find the ratio in which the join the \( A(2,1,5) \) and \( B(3,4,3) \) is divided by the plane \... |
2023-07-03 | Find the equation of the set of points \( P \), the sum of whose distances from \( A(4,0,0) \) a... |
2023-07-03 | Determine the point on \( z \)-axis which is equidistant from the points \( (1,5,7) \) and \( (5... |