AP ICET 11th September 2020 Shift-1

Instructions

For the following questions answer them individually

Question 131

Sum of the coefficients of $$x^{r}$$ for $$3 < r < 9$$ in the expansion of $$(x^{2} + 4)^{5}$$ is

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Question 132

IF $$A = \begin{bmatrix} 1 & 3 \\4 & 6 \end{bmatrix}, C = \begin{bmatrix} 2 & 1 \\ 1 & 1 \end{bmatrix}, B = \begin{bmatrix} b_{1} & b_{2} \\ b_{3} & b_{4} \end{bmatrix}$$ and BC =A, then $$\mid b_{1} \mid + \mid b_{4} \mid$$ = 

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Question 133

IF $$A = \begin{bmatrix} 3 & 4 \\ -1 & 4 \end{bmatrix}$$ and B = adj(A) then $$\mid A(adj(A))\mid$$

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Question 134

$$\lim_{x \rightarrow 1}\frac{(x^{2} + 4x - 5)(e^{x} - e)}{(x^{2} - 1) \tan (x - 1)}$$

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Question 135

If $$\frac{d}{dx}\left[\frac{(x^{2}+1)\sin x}{(\log x)(\sec x)}\right]= f(x)\left[\frac{2x}{x^{2}+1}+\cot x - \frac{1}{x \log x} - \tan x\right]$$, then $$f(x) = $$

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Question 136

In the following figure, if $$PQ ||^{el} RS, \angle PAB = 135^{\circ}$$ and $$\angle BCR = 40^{\circ}$$, then $$\angle ABC =$$

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Question 137

The area of a rhombus is 350 $$cm^{2}$$ and one of its diagonals has length 50 cm, then the length of the side of the rhombus (in cm) is

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Question 138

If two circle have radii 13cm, 7cm respectively and the distance between their centre, is 15 cm, then the number of common tangents that can be drawn to the two circles is

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Question 139

If G is the centroid of $$\triangle^{le}$$ ABC and A = ( 1,3), B = (3, 7) and G = ( 4,5) then the perimeter of the $$\triangle$$ ABC is

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Question 140

If the medians of the triangle with vertices (3, - 5), (17,4),(- 9,12) are concurrent at (a,b), then $$\frac{a}{b} =$$

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