AP ICET 2020 Question Paper Shift-1 (11th Sep)

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

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 $$\mid b_{1} \mid + \mid b_{4} \mid$$ = 

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

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

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 $$f(x) = $$

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

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

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

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

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