SSC CGL 2012 Tier 1 1 July NZ Morning III

Instructions

For the following questions answer them individually

SSC CGL 2012 Tier 1 1 July NZ Morning III - Question 101


P and Q are two points observed from the top of a building 10√3 m high. If the angles of depression of the points are complementary and PQ = 20m, then the distance of P from the building is

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SSC CGL 2012 Tier 1 1 July NZ Morning III - Question 102


If A and B are complementary angles, then the value of $$sin A cos B + cos A sin B tan A tan B + sec^2 A - cot^2 B$$ is

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SSC CGL 2012 Tier 1 1 July NZ Morning III - Question 103


The least value of $$2sin^2 θ + 3cos^2 θ$$ is

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SSC CGL 2012 Tier 1 1 July NZ Morning III - Question 104


A, 0, B are three points on a line segment and C is a point not lying on AOB. If ∠AOC = 40° and OX, OY are the internal and external bisectors of ∠AOC respectively, then ∠BOY is

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SSC CGL 2012 Tier 1 1 July NZ Morning III - Question 105


If 4x = sec θ and 4/x = tan θ then $$(x^2 - \frac{1}{x^2})$$ is

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SSC CGL 2012 Tier 1 1 July NZ Morning III - Question 106


If 2 - cos^2 θ = 3 sin θ cos θ, sin θ ≠ cos θ then tan θ is

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SSC CGL 2012 Tier 1 1 July NZ Morning III - Question 107


If sin θ + cos θ = √2 cos (90 - θ), then cot θ is

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SSC CGL 2012 Tier 1 1 July NZ Morning III - Question 108


If $$x sin^3 θ + y cos^3 θ = sin θ cos θ$$ and x sin θ = y cos θ, sin θ ≠ 0, cos θ ≠ 0, then $$x^2 + y^2$$ is

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SSC CGL 2012 Tier 1 1 July NZ Morning III - Question 109


In the following figure, O is the centre of the circle and XO is perpendicular to OY. If the area of the triangle XOY is 32, then the area of the circle is

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SSC CGL 2012 Tier 1 1 July NZ Morning III - Question 110


The side BC of ΔABC is produced to D. If ∠ACD = 108° and ∠B = ∠A/2, then ∠A is

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