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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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Filed Under: Simplification
Exam Prep: Bank Exams

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
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Q:

If O is the orthocentre of a triangle ABC and ∠BOC = 100°, the measure of ∠BAC is

A) 100° B) 180°
C) 80° D) 200°
 
Answer & Explanation Answer: C) 80°

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Filed Under: Area
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Q:

Diagonals of a Trapezium ABCD with AB || CD intersect each other at the point O. If AB = 2CD, then the ratio of the areas of ΔAOB and ΔCOD is

A) 4:1 B) 1:16
C) 1:4 D) 16:1
 
Answer & Explanation Answer: A) 4:1

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Q:

D and E are points on the sides AB and AC respectively of ΔABC such that DE is parallel to BC and AD:DB = 4:5, CD and BE intersect each other at F. Then the ratio of the areas of ΔDEF and ΔCBF

A) 16:25 B) 16:81
C) 81:16 D) 4:9
 
Answer & Explanation Answer: B) 16:81

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Filed Under: Area
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