The square root of 2i is from Mathematics JEE Year 2013 Free Sol

Subject

Mathematics

Class

JEE Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

1.

The angle of elevation of the Sun, when the shadow of the pole is 3 times the height of the pole, is

  • 60°

  • 45°

  • 15°

  • 30°


2.

The curves x = y2 and xy = k cut at right angles, if k2 is equal to

  • 1

  • 0

  • 18

  • 8


3.

If α and β are the rooots of ax2 + bx + c = 0, then limxα1 - cosax2 + bx + cx - α2 is equal to

  • a22α - β2

  • - a22α - β2

  • 0

  • 1


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4.

The square root of 2i is

  • 1 + i

  • 1 - i

  • 2i

  • - 2


A.

1 + i

Let a + ib2 = 2i = 0 + 2i a2 - b2 = 0 and 2ab = 2Now, a2 + b22 = a2 - b22 + 4a2b2                          = 0 + 22 = 4        a2 + b2 = 2                   a = ± 1 and b = ± 1Hence, square root of 2i = ± 1 + i


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5.

The locus of z given by z - 1z +1 = 1 is

  • a parabola

  • an ellipse

  • a circle

  • a straight line


6.

If sinθ 32, then the general value of θ is

  •  + - 1nπ3

  • 2 ± π6

  • 2 ± π3

  •  + - 1nπ6


7.

The root ofthe equation 2x - log10(x) = 7 is between

  • 3 and 3.5

  • 2 and 3

  • 3.5 nad 4

  • None of these


8.

The coefficient of correlation between x and y is 0.8, whereas the regression coefficient of y on x is 0.2, then the
regression coefficient of x on y will be

  • - 3.2

  • 3.2

  • 4

  • 0.16


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9.

If sin(x + y) = log(x + y), then dydx is equal to

  • - 1

  • 1

  • 2

  • - 2


10.

A conic section represents a circle, if its eccentricity e is

  • e < 0

  • e > 0

  • e = 0

  • None of these


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