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 Multiple Choice QuestionsMultiple Choice Questions

121.

If straight x space equals space cosec space straight theta space minus space sin space straight theta and straight y equals space secθ space minus space cosθ, then the value of x2y2 (x2 + y2 + 3) is

  • 0

  • 1

  • 2

  • 3

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122.

The least value of (4 sec2θ +  9 cosec2θ) is

  • 1

  • 19

  • 25

  • 7


C.

25

Minimum value of: 
  space equals space left parenthesis square root of straight a space plus space square root of straight b right parenthesis squared
space equals space left parenthesis square root of 4 space plus space square root of 9 right parenthesis squared
space equals space left parenthesis 2 space plus space 3 right parenthesis squared
equals space space left parenthesis 5 right parenthesis squared
equals space 25
      

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123.

If 0 space less or equal than space straight theta space less or equal than space space straight pi over 2 comma space space 2 straight y space cos space straight theta space equals space straight x space sin space straight theta and 2 straight x space sec space straight theta space minus space straight y space cosec space straight theta space equals space 3 comma then the value of x2 + 4y2 is

  • 1

  • 2

  • 3

  • 4

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124.

If sin space 2 straight theta space equals space 1 half comma then the value of cos (75° - θ) is

  • 1 half

  • fraction numerator square root of 3 over denominator 2 end fraction

  • fraction numerator 1 over denominator square root of 2 end fraction

  • 1

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125.

If 0 space less or equal than space straight alpha space less or equal than space straight pi over 2 and 2 space sin space straight alpha space plus space 15 space cos squared straight alpha space equals space 7 comma then the value of cot space straight alpha is

  • 5 over 4

  • 3 over 4

  • 1 fourth

  • 1 half

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126.

If sin (x + y) = cos {3 (x + y)}, then the value of tan {2(x + y)} is

  • 1

  • 0

  • fraction numerator 1 over denominator square root of 3 end fraction

  • square root of 3

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127.

The value of 
(1 + sec 20° + cot 70°) (1 - cosec 20° + tan 70°) is

  • -1

  • 2

  • 1

  • 0

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128.

If x sin3θ + y cos3θ = sin θ cos θ ≠ 0
and x sin θ  - y cos θ = 0,   then the value of (x2 + y2) is

  • sin θ - cos θ

  • sin θ + cos θ

  • 0

  • 1

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129.

If straight mu subscript straight n space equals space cos to the power of straight n straight alpha space plus space sin to the power of straight n straight alpha comma then the value of 2 straight mu subscript 6 space minus space 3 straight mu subscript 4 space plus space 1 is

  • 4

  • 6

  • 0

  • 1

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130.

If sec θ - cosec θ = 0,  then the value of (sec θ + cosec θ)

  • fraction numerator 2 over denominator square root of 3 end fraction

  • 0

  • 2 square root of 2

  • fraction numerator square root of 3 over denominator 2 end fraction

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