[Download PDF] AP ICET 11th September 2020 Shift-2 Paper with Solutions

Instructions

For the following questions answer them individually

Question 131

If the coefficients of the second, third and fourth terms in the binomial expression of $$(1 + x)^{n}$$ are in arithmetical progression, then a value of n =

Video Solution

Question 132

If $$A =\begin{bmatrix} 1 & 2 & 3 \\ 0 & 1 & 2 \\ 0 & 0 & 1 \end{bmatrix}, B =\begin{bmatrix} x \\ y \\ z \end{bmatrix} $$ and $$ AB =\begin{bmatrix} 6 \\ 3 \\ 1 \end{bmatrix}$$, then $$x + y + z = $$

Video Solution

Question 133

IF a be a 2$$\times$$2 matrix such that $$A\begin{bmatrix} 7 & 8 \\ 5 & 6 \end{bmatrix} = \begin{bmatrix} 3 & -4 \\ 2 & -3 \end{bmatrix}$$, then trace of A =

Video Solution

Question 134

$$\lim_{n \rightarrow \infty}\left\{\frac{1}{5.9} + \frac{1}{9.13} + \frac{1}{13.17} + \cdot\cdot\cdot + \frac{1}{(4n+1)(4n+5)}\right\}=$$

Video Solution

Question 135

The value of $$\frac{d}{dx}(x^{x})$$ at $$x = \frac{1}{e}$$, is

Video Solution

Question 136

Two triangles have equal area. If their bases are in the ratio 3 : 4, then the ratio of altitudes drawn to their bases, in the same order is

Video Solution

Question 137

If the lengths of the diagonals of a Rhombus are 9cm and 12cm, hen its perimeter (in centimeters) is

Video Solution

Question 138

The maximum number of common tangents that can be drawn to two circles which touch each other, is

Video Solution

Question 139

If the distance between the point (3, 0) and a point P is 5, then P cannot be

Video Solution

Question 140

Which one of the following points is nearest to the origin?

Video Solution

CAT Content

AP ICET 11th September 2020 Shift-2

If the coefficients of the second, third and fourth terms in the binomial expression of $$(1 + x)^{n}$$ are in arithmetical progression, then a value of n =

If $$A =\begin{bmatrix} 1 & 2 & 3 \\ 0 & 1 & 2 \\ 0 & 0 & 1 \end{bmatrix}, B =\begin{bmatrix} x \\ y \\ z \end{bmatrix} $$ and $$ AB =\begin{bmatrix} 6 \\ 3 \\ 1 \end{bmatrix}$$, then $$x + y + z = $$

IF a be a 2$$\times$$2 matrix such that $$A\begin{bmatrix} 7 & 8 \\ 5 & 6 \end{bmatrix} = \begin{bmatrix} 3 & -4 \\ 2 & -3 \end{bmatrix}$$, then trace of A =

$$\lim_{n \rightarrow \infty}\left\{\frac{1}{5.9} + \frac{1}{9.13} + \frac{1}{13.17} + \cdot\cdot\cdot + \frac{1}{(4n+1)(4n+5)}\right\}=$$

The value of $$\frac{d}{dx}(x^{x})$$ at $$x = \frac{1}{e}$$, is

Two triangles have equal area. If their bases are in the ratio 3 : 4, then the ratio of altitudes drawn to their bases, in the same order is

If the lengths of the diagonals of a Rhombus are 9cm and 12cm, hen its perimeter (in centimeters) is

The maximum number of common tangents that can be drawn to two circles which touch each other, is

If the distance between the point (3, 0) and a point P is 5, then P cannot be

Which one of the following points is nearest to the origin?

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