The objective function of LPP defined over the convex set attains

Subject

Mathematics

Class

JEE Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

21.

Let PQRS be a quadrilateral. If M and N are the mid-points of the sides PQ and RS respectively, then PS + QR =

  • 3 MN

  • 4 MN

  • 2 MN

  • 2 NM


22.

If vector r with dc's l, m, n is equally inclined to the coordinate axes, then the total number of such vectors is

  • 4

  • 6

  • 8

  • 2


23.

1x2 + 4x2 + 9dx = Atan-1x2 + Btan-1x3 + C, then A - B =

  • 16

  • 130

  • - 130

  • - 16


24.

If x - 5x - 7dx = Ax2 - 12x +35 + logx - 6 + x2 - 12x + 35 + C, then A =

  • - 1

  • 12

  • - 12

  • 1


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25.

At random variable X ~ B(n, p), if values of mean and variance of X are 18 and 12 respectively, then total number of possible values of X are

  • 54

  • 55

  • 12

  • 18


26.

The area of the region bounded by the lines y = 2x + 1, y = 3x + 1and x = 4 is

  • 16 sq unit

  • 1213 sq unit

  • 1216 sq unit

  • 8 sq unit


27.

The differential equation of all parabolas whose axis is Y-axis, is

  • xd2ydx2 - dydx = 0

  • xd2ydx2 + dydx = 0

  • d2ydx2 - y = 0

  • d2ydx2 - dydx = 0


28.

03xdx = ..., where [x] is greatest integer function

  • 3

  • 0

  • 2

  • 1


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29.

The objective function of LPP defined over the convex set attains it optimum value at

  • atleast two of the corner points

  • all the corner points

  • atleast one of the corner points

  • None of the corner points


A.

atleast two of the corner points

The objective function of LPP defined over the convex set attains its optimum value atleast one of the corner points.


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30.

The equation of the plane through (- 1, 1, 2) whose normal makes equal acute angles with coordinate axes is

  • r. i^ + j^ + k^ = 2

  • r. i^ + j^ + k^ = 6

  • r. 3i^ - 3j^ + 3k^ = 2

  • r. i^ - j^ + k^ = 3


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