There are four letters and four addressed envelopes. The chance t

Subject

Mathematics

Class

JEE Class 12

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

41.

010πsinxdx is equal to

  • 20

  • 8

  • 10

  • 18


42.

The general solution of the differential equation (x + y)dx + xdy = 0 is

  • x2 + y2 = c

  • 2x2 - y2

  • x2 + 2xy = c

  • y2 + 2xy = c


43.

The order and degree of the differential 1 + 3dydx23 = 4d3ydx3 are

  • 1, 2/3

  • 3, 1

  • 3, 3

  • 1, 2


44.

The differential equation of all straight lines passing through the point (1, - 1)is

  • y = x + 1dydx + 1

  • y = x + 1dydx - 1

  • y = x - 1dydx + 1

  • y = x - 1dydx - 1


Advertisement
45.

The solution of the differential equation d2ydx2 = e- 2x is

  • y = e- 2x4

  • y = e- 2x4 + cx + d

  • y = e- 2x4 + cx2 + d

  • y = e- 2x4 + c + d


46.

The solution of the differential equation dydx + sin2y = 0 is

  • x = coty + c

  • y = cotx + c

  • x = 2cscycoty + c

  • y = 2sinycosy + c


Advertisement

47.

There are four letters and four addressed envelopes. The chance that all letters are not despatched in the right envelope is

  • 19/24

  • 21/23

  • 23/24

  • None of these


C.

23/24

Required probabtlity = 1 - 14!                                = 1 - 124 = 2324


Advertisement
48.

If I = x0x0 + nhydx, then by Trapezoidal rule I is equal to

  • hy0 + yn + 2y1 + y2 + ... + yn - 1

  • h12y0 + yn + 2y1 + y2 + ... + yn - 1

  • h2y0 + yn + 2y1 + y2 + ... + yn - 1

  • hy0 + yn + 2y1 + y2 + ... + yn - 1


Advertisement
49.

By graphical method, the solution of linear programming problem maxirmze z = 3x1 + 5x2 subject to 3x1 + 2x 18, x1  4, x2  6, x1  0, x2  0

  • x1 = 2, x2 = 0, z = 6

  • x1 = 2, x2 = 6, z = 36

  • x1 = 4, x2 = 3, z = 36

  • x1 = 4, x2 = 6, z = 42


Advertisement