Bank Exams Questions

Q:

If x = cosecθ - sinθ and y = secθ - cosθ, then the relation between x and y is

A) x2+ y2+ 3 =1 B) x2y2 (x2+ y2+3)=1
C) x2 (x2+ y2 - 5)=1 D) y2 (x2+ y2 - 5)=1
 
Answer & Explanation Answer: B) x2y2 (x2+ y2+3)=1

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The distance between two pillars is 120 metres. The height of one pillar is thrice the other. The angles of elevation of their tops from the midpoint of the line connecting their feet are complementary to each other. The height (in metres) of the taller pillar is (Use : √3 = 1.732)

A) 34.64 B) 51.96
C) 69.28 D) 103.92
 
Answer & Explanation Answer: D) 103.92

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

If cosθ = x2-y2x2+y2, then the value of cotθ is

A) 2xyx2-y2 B) 2xyx2+y2
C) x2+y22xy D) x2-y22xy
 
Answer & Explanation Answer: D) x2-y22xy

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Q:

The value of the expression 2(sin6θ+cos6θ) - 3(sin4θ+cos4θ) + 1 is

A) -1 B) 0
C) 1 D) 2
 
Answer & Explanation Answer: B) 0

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Q:

If cosx.cosy + sinx.siny = -1 then cosx + cosy is

A) -2 B) 1
C) 0 D) 2
 
Answer & Explanation Answer: C) 0

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Q:

If sin P + cosec P = 2, then the value of sin7P + cosec7P is

A) 1 B) 2
C) 3 D) 0
 
Answer & Explanation Answer: B) 2

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Q:

If secA + tanA = a, then the value of cosA is

A) a2+12a B) 2aa2+1
C) a2-12a D) 2aa2-1
 
Answer & Explanation Answer: B) 2aa2+1

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Q:

PQ and RS are common tangents to two circles intersecting at A and B. AB, when produced both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be

A) 3 cm B) 4 cm
C) 5 cm D) 2 cm
 
Answer & Explanation Answer: B) 4 cm

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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