2024-06-28 | Show that the three points \(A(2,3,4), B(-1,2-3)\) and \(C(-4,1,-10)\) are collinear and find th.... |
2024-06-28 | The coordinates of a point are \((3,-2,5)\). Write down the coordinates of seven points such tha.... |
2024-06-28 | Let \((3,4,-1)\) and \((-1,2,3)\) be the end points of a diameter of a sphere. Then, the radius .... |
2024-06-28 | In a three dimensional space the equation \(x^2-5 x+6=0\) represents .... |
2024-06-28 | A point \(C\) with \(Z\)-coordinate 8 lies on the line segment joining the point \(A(2,-3,4)\) a.... |
2024-06-28 | If the extremities of the diagonal of a square are \((1,-2,3)\) and \((2,-3,5)\), then the lengt.... |
2024-06-28 | If \(P(0,1,2), Q(4,-2,1)\) and \(O(0,0,0)\) are three points, then \(\angle P O Q\) is .... |
2024-06-28 | Find the image of the point \((-4,0,1)\) in the \(X Y\)-plane. .... |
2024-06-28 | The centroid of a triangle \(A B C\) is at the point \((1,1,1)\). If the coordinates of \(A\) an.... |
2024-06-28 | Find the centroid of a triangle, mid-points of whose sides are \((1,2,-3),(3,0,1)\) and \((-1,1,.... |
2024-06-28 | Find the ratio in which the line segment joining the points \((2,-1,3)\) and \((-1,2,1)\) is div.... |
2024-06-28 | Let \(P\) and \(Q\) be any two points. Find the coordinates of the point \(R\) which divides \(P.... |
2024-06-28 | Find the points on \(z\)-axis which are at a distance \(\sqrt{21}\) from the point \((1,2,3)\).&.... |
2024-06-28 | Find the point on \(y\)-axis which is equidistant from the points \((3,1,2)\) and \((5,5,2)\).&n.... |
2024-06-28 | Determine the point on \(z\)-axis which is equidistant from the points \((1,5,7)\) and \((5,1,-4.... |
2024-06-28 | Find the ratio in which the join the \(A(2,1,5)\) and \(B(3,4,3)\) is divided by the plane \(2 x.... |
2024-06-28 | Find the coordinates of a point equidistant from the four points \(O(0,0,0), A(a, 0,0), B(0, b, .... |
2024-06-28 | Determine the point in \(X Y\)-Plane which is equidistant from three points \(A(2,0,3), B(0,3,2).... |
2024-06-28 | Find the equation of the set of points \(P\), the sum of whose distances from \(A(4,0,0)\) and \.... |
2024-06-28 | Planes are drawn parallel to the coordinate planes through the points \((3,0,-1)\) and \((-2,5,4.... |
2024-06-28 | The length of the perpendicular drawn from the point \(P(a, b, c)\) from \(y\)-axis is .... |