TS ICET 2020 Question Paper Shift-1 (1st Oct)

Instructions

For the following questions answer them individually

Question 131

The coefficient of $$x^{-3}$$ in the expansion of $$\left(2x^{2} + \frac{1}{x}\right)^{12}$$ is 

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Question 132

If $$A =\begin{bmatrix}a & b \\c & d \end{bmatrix}$$ and $$|A| = 5$$, then the determinant of $$\begin{bmatrix}4a & 4b \\3c & 3d \end{bmatrix}$$

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Question 133

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 $$A^{99}B^{100} + B^{99}A^{100}$$

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Question 134

$$\lim_{x \rightarrow 1}\frac{x^{2} -\sqrt{x}}{\sqrt{x} - 1} = $$

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Question 135

The derivative of $$f(x) = \frac{x^{3}+3}{x-1}$$

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Question 136

In the adjacent figure AD is the bisector of $$\llcorner$$A. AC =

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Question 137

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 =

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Question 138

In the adjacent figure, the length of the tangent PT given that OA = 15 cm and AP = 10 cm (in cm) is

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Question 139

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

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Question 140

The points A(2,-3), B(6, 5), C(-2, 1) and D(-6, -7) form

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