SSC CGL 2012 Tier 1

Instructions

For the following questions answer them individually

SSC CGL 2012 Tier 1 - Question 131


PQ is a direct common tangent of two circle of radii $$r_{1}$$ and $$r_{2}$$ touching each other externally at A. Then the value of PQ2 is

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SSC CGL 2012 Tier 1 - Question 132


BC is the centre of the circle with centre O. A is a point on major arc BC as shown in the above figure. What is the value of $$\angle{BAC}+\angle{OBC}$$ ?

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SSC CGL 2012 Tier 1 - Question 133


Two circles with radii 5cm and 8 cm touch each other externally at a point A. If a straight line through the point A cuts the circles at points P and Q respectively, the AP : AQ is

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SSC CGL 2012 Tier 1 - Question 134


If I is the In-centre of and <A = 60°, then the value of is - 

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SSC CGL 2012 Tier 1 - Question 135


The external bisectors of and of meet at point P. If = 80$$^{\circ}$$ , the is

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SSC CGL 2012 Tier 1 - Question 136


When a pendulum of length 50 cm oscillates, it produces an arc of 16 cm. The angle so formed in degree measure is (approx)

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SSC CGL 2012 Tier 1 - Question 137


If x,y are positive acute angles, x + y < 90o and sin(2x -20o) = cos(2y + 20o), then the values of sec(x + y) is

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SSC CGL 2012 Tier 1 - Question 138


$$5tan\theta = 4$$, then the value of $$(\frac{5sin\theta - 3cos\theta}{5sin\theta + 3cos\theta})$$ is

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SSC CGL 2012 Tier 1 - Question 139


The least value of $$(4sec^2\theta + 9cosec^2\theta)$$ is

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SSC CGL 2012 Tier 1 - Question 140


If tan(x + y)tan(x - y) = 1, then the value of $$tan(\frac{2x}{3})$$ is

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