2024-06-28 | If \(A\) and \(B\) are square matrix of order 3 given by\[A=\left[\begin{array}{lll}1 & 2 &a.... |
2024-06-28 | Evaluate \(\left|\begin{array}{ccc}x & y & x+y \\ y & x+y & x \\ x+y & x &am.... |
2024-06-28 | Find the maximum value of\[\left|\begin{array}{ccc}1 & 1 & 1 \\1 & 1+\sin \theta &am.... |
2024-06-28 | Find minors and cofactors of the elements \(a_{11}, a_{21}\) in the determinant \(\Delta=\left|\.... |
2024-06-28 | Find \(|\mathrm{AB}|\), if \(A=\left[\begin{array}{cc}0 & -1 \\ 0 & 2\end{array}\right]\.... |
2024-06-28 | Find values of \(x\), if \(\left|\begin{array}{cc}2 & 4 \\ 5 & 1\end{array}\right|=\left.... |
2024-06-28 | The equations \(x+2 y+3 z=1, x-y+4 z=0,2 x+y+7 z=1\) haye.... |
2024-06-28 | If the system of equations \(x+a y=0, a z+y=0\) and \(a x+z=0\) has infinite solutions, then the.... |
2024-06-28 | Let \(A=\left[\begin{array}{ccc}5 & 5 \alpha & \alpha \\ 0 & \alpha & 5 \alpha \.... |
2024-06-28 | There are values of \(\lambda\) such that \(\left|\begin{array}{lll}0 & 2 & 0 \\ \lambda.... |
2024-06-28 | The value of \(\left|\begin{array}{ccc}0 & a-b & a-c \\ b-a & 0 & b-c \\ c-a &am.... |
2024-06-28 | If the matrix \(A=\left[\begin{array}{ccc}8 & -6 & 2 \\ -6 & 7 & -4 \\ 2 & -.... |
2024-06-28 | If \(A\) and \(B\) are square Matrices of order 3 such that \(|A|=-1\), \(|B|=3\) then \(|3 A B|.... |
2024-06-28 | The value of the determinant \(\left|\begin{array}{lll}a-b & b-c & c-a \\ x-y & y-z .... |
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 .... |