AP ICET 2012 Question Paper

Instructions

For the following questions answer them individually

Question 131

If $$(2+3x)^5 = \sum_{n=0}^{5} a_nx^n$$, then $$\sum_{n=0}^{5} a_n =$$

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Question 132

If $$A = \left(\begin{array}{c}0 & -2\\ 2 & 0\end{array}\right)$$ and $$B = \left(\begin{array}{c}1 & 0\\ 0 & -1\end{array}\right)$$, then AB + BA =

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Question 133

If A, B are square matrices of same order such that $$B = -A^{-1} BA$$, then $$(A + B)^2 =$$

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Question 134

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

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Question 135

$$\lim_{n \rightarrow \infty} \frac{1^2 + 2^2 + ...... + n^2}{n^3} =$$

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Question 136

If $$3x^2 + 2xy + y^2 = 6$$, then $$\left(\frac{dy}{dx}\right)(-1, 2) =$$

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Question 137

The derivative of $$tan^{-1} (x^2 + 1)$$ with respect to x at x = 2 is

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Question 138

In the figure below if $$\angle ABC = \angle BDC = 90^\circ, BD = AD$$, then $$\angle BCD = $$

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Question 139

If two circles of radii 5 em and 12 em touch each other externally, then the distance between their centres (in centimetres) is

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Question 140

The area (in square units) of the polygon whose vertices taken in order are (0, 0), (6,0), (6, 6), (4, 4) and (0, 6) is

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