If 5 is one root of the equations x372x- 278x =&nb

Subject

Mathematics

Class

JEE Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

1.

If tan-1x + 1x - 1 + tan-1x - 1x = tan-1- 7, then the value of x is

  • zero

  • - 2

  • 1

  • 2


2.

Let the function f : R R be defined by f(x) = 2x + cos(x), then f

  • has maximum at x = 0

  • has minimum at x = π

  • is an increasing function

  • is a decreasing


3.

If cos-1p + cos-11 - p +cos-11 - q = 3π4, then the value of q is

  • 22

  • 1

  • 1/2

  • 1/3


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4.

If 5 is one root of the equations x372x- 278x = 0, then the other two roots of the equation are

  • - 2, - 7

  • - 2, 7

  • 2, - 7

  • 2, 7


C.

2, - 7

x372x- 278x = 0 xx2 + 16 - 32x + 14 + 716 - 7x = 0 x3 + 16x - 6x - 42 + 112 - 49x = 0 x3 - 39x + 70 = 0 x - 5x2 + 5x - 14 = 0 x2 + 7x - 2x - 14 = 0 xx + 7 - 2x + 7 = 0          x + 7x - 2 = 0                       x = 2, - 7


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5.

The equation to the tangent to the curve y = be- x/a at the point where it crosses the Y-axis is

  • ax + by = 1

  • xa - yb = 1

  • xa + yb = 1

  • ax - by = 1


6.

If w = - 12 + 3i2, the value of the determinant 1ww2ww21w21w is

  • zero

  • 3

  • - 1

  • 1


7.

The height of the cylinder of maximum volume inscribed in a sphere of radius 'a' is

  • 3a2

  • 2a3

  • a3

  • 2a3


8.

If f(x) = sinxcosxtanxx3x2x2x11, then limx0fxx2 is

  • - 1

  • 3

  • 1

  • zero


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9.

If for a triangle ABC, 1ab1ba1cc = 0, then the value of sin2A + sin2B + sin2C is

  • 49

  • 94

  • 1

  • 332


10.

Let f(x) = sinπx5x, x 0k,           x = 0. If f(x) continuous at x = 0, the value of k is

  • 5π

  • π5

  • zero

  • 1


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