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Q:

If sin P + cosec P = 2, then the value of $\sin^{7} P + {cosec}^{7} P$ is

A) 1	B) 2
C) 3	D) 0

Answer & Explanation Answer: B) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

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

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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Filed Under: Area
Exam Prep: Bank Exams

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
Exam Prep: Bank Exams

Q:

ΔABC is an isosceles right angled triangle having ∠C = 90°. If D is any point on AB, then ${AD}^{2} + {BD}^{2}$ is equal to

A) CD2	B) 2CD2
C) 3CD2	D) 4CD2

Answer & Explanation Answer: B) 2CD2

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Filed Under: Area
Exam Prep: Bank Exams

Q:

PQRA is a rectangle, AP = 22 cm, PQ = 8 cm. ΔABC is a triangle whose vertices lie on the sides of PQRA such that BQ = 2 cm and QC = 16 cm .Then the length of the line joining the mid points of the sides AB and BC is

A) 4√2 cm	B) 5 cm
C) 6 cm	D) 10 cm

Answer & Explanation Answer: B) 5 cm

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Filed Under: Area
Exam Prep: Bank Exams

Q:

Two equal circles intersect so that their centres, and the points at which they intersect form a square of side 1 cm. The area (in sq.cm) of the portion that is common to the circles is

A) π4	B) π2-1
C) π5	D) √2 - 1

Answer & Explanation Answer: B) π2-1

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Filed Under: Area
Exam Prep: Bank Exams

Q:

ABCD is a cyclic quadrilateral of which AB is the diameter. Diagonals AC and BD intersect at E. If ∠DBC = 35°, Then ∠AED measures

A) 35°	B) 45°
C) 55°	D) 90°

Answer & Explanation Answer: C) 55°

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

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