The maximum value of 3cosθ + 4sinθ&nbs

Subject

Mathematics

Class

JEE Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

1.

In how many ways can 5 keys be put in a ring ?

  • 4!

  • 5!

  • 4!2

  • 5!2


2.

The value of 5 + 15 - 5 - 15 is

  • 232

  • 352

  • 452

  • 532


3.

The sum of the series 12 . 3 + 14 . 5 + 16 . 7 + ... is

  • loge2

  • log2e

  • e2

  • 2e


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4.

The maximum value of 3cosθ + 4sinθ is

  • 3

  • 4

  • 5

  • None of these


C.

5

 Maximum value of acosθ + bsinθ = a2 + b2 Maximum value of 3cosθ + 4sinθ = 32 + 42 = 25 = 5


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5.

The period of sinθ - 3cosθ is

  • π4

  • π2

  • π

  • 2π


6.

If the tangent at the point 2secθ, 3tanθ of the hyperbola x24 - y29 = 1 is parallel to 3x - y + 4 = 0, then the value of θ is

  • π4

  • π3

  • π6

  • π2


7.

If cosθ = cos2α + cos2β + cos2γsin2α + sin2β + sinγ, where α, β, γ are the angles made by a line with the positive directions of the axes of reference, then the measure of θ is

  • 60°

  • 90°

  • 30°

  • 45°


8.

The value of limx0sinx4 - x4cosx4 + x20x4e2x4 - 1 - 2x4 is equal to

  • 0

  • - 16

  • 16

  • Does not exist


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9.

ISP stands for

  • Instructions Set Processor

  • Information Standard Processing

  • Interchange Standard Protocol

  • Interrupt Service Procedure


10.

The 8-bit encoding format used to store data in a computer is known as

  • ASCII

  • ANCI

  • EBCDIC

  • USCII


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