If  then the value of  is from Quantitative

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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

29 Views

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

37 Views

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


C.

0

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
therefore space space space space space space space straight mu subscript 6 space equals space cos to the power of 6 straight alpha space plus space sin to the power of 6 straight alpha
and space space space space straight mu subscript 4 space equals space cos to the power of 4 straight alpha space plus space sin to the power of 4 straight alpha
therefore space space space 2 straight mu subscript 6 space minus space 3 straight mu subscript 4 space plus space 1 space equals space 2 left parenthesis cos to the power of 6 straight alpha space plus space sin to the power of 6 straight alpha right parenthesis space minus space 3 left parenthesis cos to the power of 4 straight alpha space plus space sin to the power of 4 straight alpha right parenthesis space plus 1 space
space equals space 2 space open curly brackets left parenthesis cos squared straight alpha right parenthesis cubed space plus space left parenthesis sin squared straight alpha right parenthesis cubed close curly brackets space minus space 3 left parenthesis cos to the power of 4 straight alpha space plus space sin to the power of 4 straight alpha right parenthesis space plus space 1
equals space 2 left parenthesis cos squared straight alpha space plus space sin squared straight alpha right parenthesis space left parenthesis cos to the power of 4 straight alpha space plus space sin to the power of 4 straight alpha space space minus space cos squared straight alpha. space sin squared straight alpha right parenthesis space minus space 3 left parenthesis cos to the power of 4 straight alpha space plus space sin to the power of 4 straight alpha right parenthesis space plus space 1
equals space 2 left parenthesis cos to the power of 4 straight alpha space plus space sin to the power of 4 straight alpha space minus space cos squared straight alpha space sin squared straight alpha right parenthesis space minus space 3 left parenthesis cos to the power of 4 straight alpha space plus space sin to the power of 4 straight alpha right parenthesis space plus space 1
equals space minus space cos to the power of 4 straight alpha space minus space sin to the power of 4 straight alpha space minus space 2 space cos squared straight alpha space sin squared straight alpha space plus space 1
equals space minus space left parenthesis cos squared straight alpha space plus space sin squared straight alpha right parenthesis space plus space 1 space equals space minus 1 space plus space 1 space equals space 0

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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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