SSC CGL 2013 Tier 1 19 May Morning I

Instructions

For the following questions answer them individually

Question 131

At an instant, the length of the shadow of a pole is , √3 times the height of the pole. The angle of elevation of the Sun at that moment is

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Question 132

If θ is positive acute angle and $$3 (sec^2 θ + tan^2 θ) = 5$$, then which one is true ?

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Question 133

Two circles touch each other externally. The distance between their centres is 7 cm. If the radius of one circle is 4 cm, then the radius of the other circle is

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Question 134

In a ΔABC, AB = AC and BA is produced to D such that AC = AD. Then the ∠BCD is

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Question 135

In a right-angled triangle ABC, ∠ABC = 90°, AB = 5 cm and BC = 12 cm. The radius of the circumcircle of the triangle ABC is

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Question 136

If the circumradius of an equilateral triangle ABC be 8 cm, then the height of the triangle is

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Question 137

Two circles intersect at A and B. P is a point on produced BA. PT and PQ are tangents to the circles. The relation of PT and PQ is

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Question 138

If 0 is the circumcentre of triangle ABC and OD ⊥ BC, then ∠BOD must be equal to

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Question 139

The numerical value of $$\frac{1}{1+cot^2 θ} + \frac{3}{1+tan^2 θ} + 2sin^2 θ $$ is

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Question 140

The value of $$\frac{4}{1+tan^2 θ} + \frac{1}{1+cot^2 θ} + 3 sin^2 θ$$

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