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

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

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


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

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

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

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

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

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

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

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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