If the matrix Mr is given by Mr = rr - 1r -&n

Subject

Mathematics

Class

JEE Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

1.

The value of log220log280 - log25log2320 is equal to

  • 5

  • 6

  • 7

  • 8


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2.

If the matrix Mr is given by Mr = rr - 1r - 1r, r = 1, 2, 3, ..., then the value of det(M1) + det(M2) + ... + det(M2008) is

  • 2007

  • 2008

  • (2008)2

  • (2007)2


C.

(2008)2

Given, Mr = rr - 1r - 1r detMr = r2 - r - 12 = 2r - 1 detM1 + detM2 + ... + detM2008= 1 + 3 +5 + ... + 4015= 200822 + 2008 - 12= 20082008 = 20082


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3.

Let A = α255- α and A10 = 1024, then α is equal to

  • 2

  • - 2

  • 3

  • - 3


4.

If w  1 is a cube root of unity, then the value of

1 + 2w100 + w200w2111 + w100 + 2w200www22+ w100 + w200 is equal to

  • 0

  • 1

  • w

  • w2


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5.

If α is a cube root of unity, then the value of

αα3α5α3α5αα3αα3 is equal to

  • 3α3

  • 3α3 + α6 + α9

  • 3α + α2 + α3

  • 0


6.

If fα = 1αα2αα21α21α, then f33 is equal to

  • 1

  • - 4

  • 4

  • 2


7.

If A = 333333333, then A4 is equal to

  • 27 A

  • 81 A

  • 243 A

  • 729 A


8.

Let B be a boolean algebra. If a, b  B, then (x - y)' is equal to

  • a . b

  • x . y'

  • x' . y'

  • x' + y'


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9.

The output of the circuit is

  • x3 . (x'1 + x2)

  • (x'3 + x2) . x1

  • x'3 . (x1 + x2)

  • (x1 + x2) . x3


10.

If tan-1x2 + cot-1x2 = 5π28, then x is equal to

  • 0

  • 2

  • 1

  • - 1


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