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If $cosθ = \frac{x^{2} - y^{2}}{x^{2} + y^{2}}$ , then the value of $cotθ$ is

A) 2xyx2-y2	B) 2xyx2+y2
C) x2+y22xy	D) x2-y22xy

A) 2xyx2-y2

B) 2xyx2+y2

C) x2+y22xy

D) x2-y22xy

Answer & Explanation Answer: D) x2-y22xy

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Filed Under: Simplification
Exam Prep: Bank Exams

The value of the expression $2 (\sin^{6} θ + \cos^{6} θ) - 3 (\sin^{4} θ + \cos^{4} θ) + 1$ is

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

A) -1

B) 0

C) 1

D) 2

Answer & Explanation Answer: B) 0

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Filed Under: Simplification
Exam Prep: Bank Exams

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

A) 1

B) 2

C) 3

D) 0

Answer & Explanation Answer: B) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

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

A) CD2

B) 2CD2

C) 3CD2

D) 4CD2

Answer & Explanation Answer: B) 2CD2

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Filed Under: Area
Exam Prep: Bank Exams

If x, y, z are the three factors of $a^{3} - 7 a - 6$ , then value of x+y+z will be

A) 3a	B) 3
C) 6	D) a

A) 3a

B) 3

C) 6

D) a

Answer & Explanation Answer: A) 3a

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Filed Under: Simplification
Exam Prep: Bank Exams

If ax + by = 1 and $bx + ay = \frac{2 ab}{a^{2} + b^{2}}$ then $(x^{2} + y^{2}) (a^{2} + b^{2})$ is equal to

A) 1	B) 2
C) 0.5	D) 0

A) 1

B) 2

C) 0.5

D) 0

Answer & Explanation Answer: A) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

If $a + \frac{1}{b} = b + \frac{1}{c} = c + \frac{1}{a}$ (a , b, c are not equal) then the value of abc =

A) + 1	B) - 1
C) +1 & -1	D) None of the options

A) + 1

B) - 1

C) +1 & -1

D) None of the options

Answer & Explanation Answer: C) +1 & -1

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Filed Under: Simplification
Exam Prep: Bank Exams

If x = 11, the value of $x^{5} - 12 x^{4} + 12 x^{3} - 12 x^{2} + 12 x - 1$ is

A) 11	B) 10
C) 12	D) -10

A) 11

B) 10

C) 12

D) -10

Answer & Explanation Answer: B) 10

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Filed Under: Simplification
Exam Prep: Bank Exams

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