[Download PDF] TS ICET 30th Sep 2020 Shift-2 Paper with Solutions

Instructions

For the following questions answer them individually

Question 131

The term independent of $$x$$ in the expansion of is $$\left(3x^{3} - \frac{1}{2x^{4}}\right)^{7}$$

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Question 132

A square matrix A is called an orthogonal matrix if A satisfies

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Question 133

A is a $$3\times3$$ matrix and B is its adjoint matrix. If the determinant of B is 64, then the
determinant of A is

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Question 134

$$\lim_{x \rightarrow \infty} (\sqrt{x^{2} + x + 1} - \sqrt{x^{2} + 1}) = $$

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Question 135

If $$3x^{2} + 2xy + y^{2} = 6$$, then $$\frac{dy}{dx}$$ at (-1, 2) is

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Question 136

A right angled triangle is to be constructed such that the sum of lengths of perpendicular sides can't be greater than 24cm and the area is to be maximum. Then the length of hypotenuse (in cm) is

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Question 137

The diagonals of a trapezium PQRS interect at the point A. If the ratio PA : PR is 3 : 7, then the ratio of lengths of its parallel sides is

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Question 138

Two circles have radii 13cm and 29cm, and the distance between their centres 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 the points A(3, 2) ; B(-3, 2) and C(0, h) form the verticies of an equilateral triangle, then one value of h is

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Question 140

The distance of point $$(a, b)$$ to the line $$\alpha x + \beta y + \gamma = 0$$ is

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CAT Content

TS ICET 30th Sep 2020 Shift-2

The term independent of $$x$$ in the expansion of is $$\left(3x^{3} - \frac{1}{2x^{4}}\right)^{7}$$

A square matrix A is called an orthogonal matrix if A satisfies

A is a $$3\times3$$ matrix and B is its adjoint matrix. If the determinant of B is 64, then the determinant of A is

$$\lim_{x \rightarrow \infty} (\sqrt{x^{2} + x + 1} - \sqrt{x^{2} + 1}) = $$

If $$3x^{2} + 2xy + y^{2} = 6$$, then $$\frac{dy}{dx}$$ at (-1, 2) is

A right angled triangle is to be constructed such that the sum of lengths of perpendicular sides can't be greater than 24cm and the area is to be maximum. Then the length of hypotenuse (in cm) is

The diagonals of a trapezium PQRS interect at the point A. If the ratio PA : PR is 3 : 7, then the ratio of lengths of its parallel sides is

Two circles have radii 13cm and 29cm, and the distance between their centres is 15 cm, then the number of common tangents that can be drawn to the two circles is

If the points A(3, 2) ; B(-3, 2) and C(0, h) form the verticies of an equilateral triangle, then one value of h is

The distance of point $$(a, b)$$ to the line $$\alpha x + \beta y + \gamma = 0$$ is

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A is a $$3\times3$$ matrix and B is its adjoint matrix. If the determinant of B is 64, then the
determinant of A is