2024-05-22 | Let \(y = t^{10} + 1\) and \(x = t^{8} + 1\), then \(\frac{\text{dy}}{\text{dx}}\) is... |
2024-05-22 | Which of the following systems has non-trivial solutions? If so, find these solutions. \(3x + y -... |
2024-05-22 | Using the determinants, find whether the system \(x\ –3y\ + \ 5z\ = \ 4,\ 2x\ &... |
2024-05-22 | Using Cramer's rule, solve the following systems of linear equations: \(6x + y - 3z - 5 = 0\) \(x... |
2024-05-22 | Using Cramer's rule, solve the following systems of linear equations: \((a + b)x - (a - b)y = 4ab... |
2024-05-22 | Using Cramer's rule, solve the following systems of linear equations: \(f(x)\ = \ ax^{... |
2024-05-22 | Using determinants, show that the following system of linear equations is inconsistent : \(3x - y... |
2024-05-22 | Which of the following equations are consistent? If consistent, solve them: \(2x - y = 5\) \(4x -... |
2024-05-22 | Find values of k if area of triangle is 4 square units and vertices are (i) \((k,0),(4,0),(0,2)... |
2024-05-22 | Using Cramer's rule, solve the following systems of linear equations: \(2x + 3y = 10\) \(x + 6y =... |
2024-05-22 | Show that, \(\left[\begin{array}{cc}5 & -1 \\ 6 & 7\end{array}\right]\left[\begin{array}{... |
2024-05-22 | Find area of the triangle with vertices at the point given in each of the following: \(( - 2, -... |
2024-05-22 | Find area of the triangle with vertices at the point given in each of the following: \(( - 2, -... |
2024-05-22 | Find the area of the triangle whose vertices are \((3,8),( - 4,2)\) and \((5,1)\)... |
2024-05-22 | Using the determinants show that the following points are collinear \((5,5),( - 5,1)\) and \((10... |
2024-05-22 | Prove that \(\left|\begin{array}{ccc}a & a+b & a+b+c \\ 2 a & 3 a+2 b & 4 a+3 b+2... |
2024-05-22 | Find the area of the triangle with vertices at the points: (i) \((3,8),( - 4,2)\) and \((5, - 1)... |
2024-05-22 | Find the area of the triangle with vertices at the points: \(( - 1, - 8),\ ( - 2, - 3)\) and \((... |
2024-05-22 | Find the area of the triangle with vertices at the points: \((0,0),(6,0)\) and \((4,3)\)... |
2024-05-22 | Find the area of the triangle with vertices \((1, - 2),(3,1)\) and \((2,4)\)... |
2024-05-22 | Prove that \(\left|\begin{array}{ccc}x+y & x & x \\ 5 x+4 y & 4 x & 2 x \\ 10 x+8... |