TS ICET 1st Oct 2020 Shift-1
For the following questions answer them individually
The coefficient of $$x^{-3}$$ in the expansion of $$\left(2x^{2} + \frac{1}{x}\right)^{12}$$ is
If $$A =\begin{bmatrix}a & b \\c & d \end{bmatrix}$$ and $$|A| = 5$$, then the determinant of $$\begin{bmatrix}4a & 4b \\3c & 3d \end{bmatrix}$$
If $$A =\begin{bmatrix}0 & 0 & 1 \\0 & 1 & 0\\ 1& 0 & 0 \end{bmatrix}$$ and $$B =\begin{bmatrix}-1 & 0 & 0 \\0 & -1 & 0\\ 0 & 0 & -1 \end{bmatrix}$$, then then $$A^{99}B^{100} + B^{99}A^{100}$$
In the quadrilateral $$\llcorner$$ MNP shown below PN = 8, MQ $$\perp$$ LN and MQ = 6. If the area of $$\triangle$$ LNP = 32. then the area of $$\triangle$$ LMN =
In the adjacent figure, the length of the tangent PT given that OA = 15 cm and AP = 10 cm (in cm) is
If the point (1, 4) is the centroid of a triangle ABC with verticies A(4,-8), B(-9, 7), then the distance AC in units is
