AP ICET 2019 Question Paper Shift-2 (26th April)

Instructions

For the following questions answer them individually

Question 131

If the expansion of $$(x - 3x^2)^{25}$$ is a polynomial of $$n^{th}$$ degree in x, then n =

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Question 132

If $$A = \begin{bmatrix}1 & -1 \\2 & -1 \end{bmatrix}, B = \begin{bmatrix}x & 1 \\y & -1 \end{bmatrix}$$ and $$(A + B)^2 = A^2 + B^2$$, then (x, y) =

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Question 133

If $$\begin{bmatrix}2 & -1 \\1 & 1 \end{bmatrix}\begin{bmatrix}x \\y \end{bmatrix} = \begin{bmatrix}4 \\5 \end{bmatrix}$$, then $$x^2 + y^2 =$$

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Question 134

$$\lim_{x \rightarrow 0}\frac{\sqrt{1 + x^3} - \sqrt{1 - x^2}}{x^2} =$$

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Question 135

$$\frac{d}{dx}\left(\tan^{-1}\left(\frac{1 + \tan x}{1 - \tan x}\right)\right) =$$

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Question 136

The ratio of the sides of a triangle whose angles are in the ratio $$1 : 2 : 3$$ is

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Question 137

The perimeter (in cms) of a Rhombus whose diagonals are 9 cm and 12 cm is

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Question 138

A tangent is drawn to a circle from a point 13 cm away from its centre. If the length of that tangent is 12 cm, then the radius (in cms) of the circle is

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Question 139

The area (in sq. units) of the triangle formed by the points (0, 0), (2, -3) and (4, 5) is

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Question 140

The ratio in which the X-axis divides the line segment joining the points (2, 3) and (3, -5) is

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