Subject

Mathematics

Class

JEE Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

11.

From a group of 8 boys and 3 girls, a commitee of 5 members to be formed. Find the probability that 2 particular girls are included in the committe is

  • 411

  • 211

  • 611

  • 811


12.

Equation of the plane passing through (- 2, 2, 2) and (2, - 2, - 2) and perpendicular to the plane 9x - 13y - 3z = 0 is

  • 5x + 3y + 2z = 0

  • 5x - 3y + 2z = 0

  • 5x - 3y - 2z = 0

  • 5x + 3y - 2z = 0


13.

The maximum value of z = 9x + 13y subject to 2x + 3y  18, 2x + y  10, x  0, y  0 is

  • 130

  • 81

  • 79

  • 99


14.

sinlogx + coslogxdx is equal to

  • xcoslogx + c

  • coslogx + c

  • xsinlogx + c

  • sinlogx +c


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15.

exx - 1x2dx is equal to

  • exx2 + c

  • - exx2 + c

  • exx + c

  • - exx + c


16.

5101x - 1x - 2dx

  • log2732

  • log3227

  • log89

  • log34


17.

General solution of the differential equation 

dydx = x + y + 1x + y - 1 is given by

  • x + y = logx + y + c

  • x - y = logx + y + c

  • y = x + logx + y + c

  • y = xlogx + y + c


18.

The order and degree of the differential equation d2ydx2 = 1 - dydx43 are respectively

  • 2, 3

  • 3, 2

  • 2, 4

  • 2, 2


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19.

Form the differential equation of all family of lines y = mx ± 4m eliminating the arbitrary m constant 'm' is

  • d2ydx2 = 0

  • xdydx - ydydx +4 = 0

  • xdydx2 + ydydx +4 = 0

  • dydx = 0


B.

xdydx - ydydx +4 = 0

    y = mx + 4mdydx = mFrom Eq. (i), we gety = xdydx + 4dydx ydydx = xdydx2 + 4 xdydx2 - ydydx +4 = 0

Which is the required differential equation.


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20.

If 'f' is the angle between the lines ax2 + 2hxy + by2 = 0, then angle between x2 + 2xy secθ + y2 = 0 is

  • θ

  • 2θ

  • θ2

  • 3θ


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