SSC CGL 2014 Tier 1 19 Oct shift 2

Instructions

For the following questions answer them individually

Question 131

If sin 21°= x/y then sec21°- sin 69° is equal to

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Question 132

If sec α + tan α = 2, then value of sin α is (assume that 0 < α < 90°)

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Question 133

If 3 sin θ + 5 cos θ = 5, then the value of 5 sin θ - 3 cos θ will be

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Question 134

If θ is an acute angle and tan θ + cot θ = 2, then the value of $$tan^{5} θ + cot^{5} θ$$ is

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Question 135

ABCD is a parallelogram in which diagonals AC and BD intersect at 0. If E, F, G and H are the mid points of AO, DO, CO and BO respectively, then the ratio of the perimeter of the quadrilateral EFGH to the perimeter of parallelogram ABCD is

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Question 136

The simple value of tan 1°. tan 2°. tan 3° ..................... tan 89° is

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Question 137

The length of a tangent from an external point to a circle is 5√3 unit. If radius of the circle is 5 units, then the distance of the point from the circle is

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Question 138

In ΔABC, $$\angle{C}$$ is an obtuse angle. The bisectors of the exterior angles at A and B meet BC and AC produced at D and E respectively. If AB = AD = BE, then $$\angle{ACB}$$ =

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Question 139

ABC is an equilateral triangle and 0 is its circumcentre, then the ∠AOC is

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Question 140

ABCD is a cyclic quadrilateral. The side AB is extended to E in such a way that BE = BC. If ∠ADC = 70°, ∠BAD = 95°, then ∠DCE is equal to

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