Subject

Mathematics

Class

JEE Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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1.

The value of cotx - tanxcot2x is

  • 1

  • 2

  • - 1

  • 4


2.

The number of points of intersection of 2y = 1 and y = sin(x), in - 2π  x  2π is

  • 1

  • 2

  • 3

  • 4


3.

The value of 23! +45! + 67! + ...

  • e12

  • e- 1

  • e

  • e- 13


4.

If sum of an infinite geometric series is 4/3 and its Ist term is 3/4, then its common ratio is

  • 7/16

  • 9/16

  • 1/9

  • 7/9


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5.

The number of permutations by taking all letters and keeping the vowels of the word COMBINE in the odd places is

  • 96

  • 144

  • 512

  • 576


6.

If C3 n - 1+ C4n - 1 > C3n then n is just greater than integer

  • 5

  • 6

  • 4

  • 7


7.

If in the expansion of (a- 2b)n, the sum of the 5th and 6th term is zero, then the value of ab is

  • n - 45

  • 2n - 45

  • 5n - 4

  • 52n - 4


8.

(23n - 1) will be divisible by n  N

  • 25

  • 8

  • 7

  • 3


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9.

Sum of the last 30 coefficients in the expansion of (1 + x)59 , when expanded in ascending power of x is

  • 259

  • 258

  • 230

  • 229


10.

If (1 - x + x2)n = a0 + a1x + ... + a2nx2n, then the value of a0 + a2 + a4 + ... + a2n is

  • 3n + 12

  • 3n - 12

  • 3n - 12

  • 3n + 12


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