Subject

Mathematics

Class

JEE Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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1.

If f : [2, 3]  R is defined by f(x) = x3 + 3x - 2, then the range of f(x) is contained in the interval

  • [1, 12]

  • [12, 34]

  • [35, 50]

  • [- 12, 12]


2.

The number of subsets of {1, 2, 3, ..., 9} containing atleast one odd number is

  • 324

  • 396

  • 496

  • 512


3.

A binary sequence is an array of 0's and 1's. The number of n-digit binary sequences which contain even number of 0's is

  • 2n - 1

  • 2n - 1

  • 2n - 1 - 1

  • 2n


4.

If x is numerically so small so that x2 and higher power of x can be neglected, then 1 + 2x332 . 32 + 5x- 15 is approximately equal to

  • 32 + 31x64

  • 31 + 32x64

  • 31 - 32x64

  • 1 - 2x64


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5.

The locus of z satisfying the inequality z +2i2z +i < 1, where z = x + iy, is

  • x2 + y2 < 1

  • x2 - y2 < 1

  • x2 + y2 > 1

  • 2x2 + 3y2 < 1


6.

If n is an integer which leaves remainder one when divided by three, then 1 + 3in + 1 - 3in equals

  • - 2n + 1

  • 2n + 1

  • - (- 2)n

  • - 2n


7.

The period of sin4x + cos4x is

  • π42

  • π22

  • π4

  • π2


8.

If 3 cos x 2 sin x, then the general solution of sin2x - cos2x = 2 - sin2x is

  •  + - 1nπ2, n  Z

  • 2, n  Z

  • 4n ± 1π2, n  Z

  • (2n - 1)π, n  Z


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9.

If X is a binomial variate with the range {0, 1, 2, 3, 4, 5, 6} and P(X = 2) = 4P(X = 4), then the parameter p of X is

  • 13

  • 12

  • 23

  • 34


10.

The area (in square unit) of the circle which touches the lines 4x + 3y = 15 and 4x + 3y = 5 is

  • 4π

  • 3π

  • 2π

  • π


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