AP ICET 10th September 2020 Shift-2

Instructions

For the following questions answer them individually

Question 131

The numerically greatest term in the expansion of $$(1 - 3x)^{10}$$ when $$x = \frac{1}{2}$$ is

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Question 132

$$3A = \begin{bmatrix}1 & 2 & 2 \\2 & 1 & -2\\x & 2 & y \end{bmatrix}$$ and $$AA^T = A^TA = I$$, then $$x + y =$$

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Question 133

A is a $$2 \times 2$$ matrix, such that $$A \begin{bmatrix}1\\-1\end{bmatrix} = \begin{bmatrix}-1\\2\end{bmatrix}$$ and $$A^2 \begin{bmatrix}1\\-1\end{bmatrix} = \begin{bmatrix}1\\0\end{bmatrix}$$. Then the sum of the elements of A is

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Question 134

$$\lim_{x \rightarrow 0}\left[\frac{12^x - 3^x - 4^x + 1}{1 - \cos 2x}\right] =$$

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Question 135

If $$x^{\frac{2}{3}} + y^{\frac{2}{3}} = a^{\frac{2}{3}}$$, then $$\frac{dy}{dx} =$$

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Question 136

In the following figure, if $$AE = EC = CD$$ and $$\angle EDC = \angle EAC = 30^\circ$$, then $$\angle AED =$$

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Question 137

What is the area (in sq.cm.) of the trapezium in the figure given below?

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Question 138

In the circle given below with centre 'O', if $$AC = BC$$ and $$\angle AOB = 140^\circ$$ then $$\angle PBC =$$

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Question 139

The four points (1, 7), (4, 2), (-1, -1) and (-4, 4) are the vertices of a

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Question 140

If the point A(6, 1), B(8, 2), C(9, 4) and D(p, 3) are the ve1tices of a parallelogram taken in order then the value of p is

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