[Download PDF] TS ICET 28th July 2022 Shift-1 Paper with Solutions

Instructions

For the following questions answer them individually

Question 121

If the ratio of the sum of the first 3 terms of a geometric progression to the sum of the first 6 terms is 8:35, then the common ratio of that geometric progression is

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Question 122

The radius of the circle is 21 cms. The angle subtended by an arc of the circle at the centre is $$60^{\circ}$$. The length of its arc is

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Question 123

$$4(\sin^{4} 30^{\circ} + \cos^{4} 60^{\circ}) - 3 (\cos^{2} 45^{\circ} - \sin^{2} 90^{\circ}) =$$

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Question 124

If $$A + B = \frac{\pi}{4}$$ , then $$(1 + \tan A) (1 + \tan B)$$ =

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Question 125

If the angles of a triangle ABC are in arithmetic progression then
$$\frac{\cos C - \cos A}{\sin A - \sin C}$$ =

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Question 126

The angle of elevation of top of a mountain cliff from a point 200 m from its foot is $$45^{\circ}$$. The height of the cliff (in meters) is

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Question 127

The area of an equilateral triangle is $$256\sqrt{3}$$ sq. cm., then the perimeter of that triangle is

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Question 128

If the perimeter of a right angled triangle is 60 cm and its hypotenuse is 26 cm. then the area of the triangle in $$cm^{2}$$, is

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Question 129

If the angles of a quadrilateral are in the ratio 4 : 5 : 10 : 11, then the angles are

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Question 130

$$ABCD$$ is a parallelogram in which $$AB = 2x + 5; CD = y + 1; AD = y + 5$$ and $$BC= 3x - 4$$. Then the lengths of the sides of the $$ABCD$$ are

Video Solution

CAT Content

TS ICET 28th July 2022 Shift-1

If the ratio of the sum of the first 3 terms of a geometric progression to the sum of the first 6 terms is 8:35, then the common ratio of that geometric progression is

The radius of the circle is 21 cms. The angle subtended by an arc of the circle at the centre is $$60^{\circ}$$. The length of its arc is

$$4(\sin^{4} 30^{\circ} + \cos^{4} 60^{\circ}) - 3 (\cos^{2} 45^{\circ} - \sin^{2} 90^{\circ}) =$$

If $$A + B = \frac{\pi}{4}$$ , then $$(1 + \tan A) (1 + \tan B)$$ =

If the angles of a triangle ABC are in arithmetic progression then$$\frac{\cos C - \cos A}{\sin A - \sin C}$$ =

The angle of elevation of top of a mountain cliff from a point 200 m from its foot is $$45^{\circ}$$. The height of the cliff (in meters) is

The area of an equilateral triangle is $$256\sqrt{3}$$ sq. cm., then the perimeter of that triangle is

If the perimeter of a right angled triangle is 60 cm and its hypotenuse is 26 cm. then the area of the triangle in $$cm^{2}$$, is

If the angles of a quadrilateral are in the ratio 4 : 5 : 10 : 11, then the angles are

$$ABCD$$ is a parallelogram in which $$AB = 2x + 5; CD = y + 1; AD = y + 5$$ and $$BC= 3x - 4$$. Then the lengths of the sides of the $$ABCD$$ are

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If the angles of a triangle ABC are in arithmetic progression then
$$\frac{\cos C - \cos A}{\sin A - \sin C}$$ =