[Download PDF] AP ICET 10th September 2020 Shift-1 Paper with Solutions

Instructions

For the following questions answer them individually

Question 131

If $$(1 + x)^{10} = a_0 + a_1x + a_2x2 + ...... + a_{10}x^{10}$$ then $$3(a_0 + a_2 + a_4 + .... + a_{10}) - 2(a_1 + a_3 + a_5 + ...... + a_9) =$$

Video Solution

Question 132

If $$A = \begin{bmatrix}7 & 1 & 5 \\3 & 1 & -2 \\-4 & 3 & 2 \end{bmatrix}, B = \begin{bmatrix}1 & 4 & -6 \\2 & -1 & 5 \\7 & 0 & -3 \end{bmatrix}$$ then the trace of the matrix AB is

Video Solution

Question 133

If B is a symmetric matrix and C is a skew symmetric matrix of the same order such that B + C = A then C =

Video Solution

Question 134

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

Video Solution

Question 135

If $$y = \frac{7x^2 + 3x}{x^3 + 5}$$, then $$\left(\frac{dy}{dx}\right)_{x=2} =$$

Video Solution

Question 136

If the area of an equilateral triangle is $$25\sqrt{3}$$ sq.cm, then its perimeter (in cm) is

Video Solution

Question 137

If the length of the diagonals of a Rhombus are 48 cm and 14 cm, then its perimeter (in cm) is

Video Solution

Question 138

If an arc of a circle of radius 21 cm subtends an angle $$60^{\circ}$$ at the centre of the circle, then the length of that arc (in cms) is (take $$\pi = \frac{22}{7}$$)

Video Solution

Question 139

The ratio in which the point ( 1, -1) divides the line segment joining the points (-2, -8) and (7, 13) is

Video Solution

Question 140

If (2, 3), ( 4, -5), (-1, 7) and (-8, -10) are consecutive vertices of a quadrilateral, then the product of the lengths of its diagonals is

Video Solution

CAT Content

AP ICET 10th September 2020 Shift-1

If $$(1 + x)^{10} = a_0 + a_1x + a_2x2 + ...... + a_{10}x^{10}$$ then $$3(a_0 + a_2 + a_4 + .... + a_{10}) - 2(a_1 + a_3 + a_5 + ...... + a_9) =$$

If $$A = \begin{bmatrix}7 & 1 & 5 \\3 & 1 & -2 \\-4 & 3 & 2 \end{bmatrix}, B = \begin{bmatrix}1 & 4 & -6 \\2 & -1 & 5 \\7 & 0 & -3 \end{bmatrix}$$ then the trace of the matrix AB is

If B is a symmetric matrix and C is a skew symmetric matrix of the same order such that B + C = A then C =

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

If $$y = \frac{7x^2 + 3x}{x^3 + 5}$$, then $$\left(\frac{dy}{dx}\right)_{x=2} =$$

If the area of an equilateral triangle is $$25\sqrt{3}$$ sq.cm, then its perimeter (in cm) is

If the length of the diagonals of a Rhombus are 48 cm and 14 cm, then its perimeter (in cm) is

If an arc of a circle of radius 21 cm subtends an angle $$60^{\circ}$$ at the centre of the circle, then the length of that arc (in cms) is (take $$\pi = \frac{22}{7}$$)

The ratio in which the point ( 1, -1) divides the line segment joining the points (-2, -8) and (7, 13) is

If (2, 3), ( 4, -5), (-1, 7) and (-8, -10) are consecutive vertices of a quadrilateral, then the product of the lengths of its diagonals is

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