JEE Questions for Maths Statistics Quiz 3 - MCQExams.com


Maths-Statistics-50712.png
  • 0.2
  • 0.5
  • 0.66
  • 0.33
The correlation coefficient of two variables x and y is 0.8. The regression coefficient of y on x is 0.2, then the regression coefficient of x on y is
  • 3.2
  • -3.2
  • 4
  • 0.16

Maths-Statistics-50713.png
  • -3.1
  • -3.2
  • -3.3
  • -3.4
If the lines of regression are 3x + 12y = 19 and 3y + 9x = 46, then rxy will be
  • 0.289
  • -0.289
  • 0.209
  • None of these
If θ is the angle between two regression lines with correlation coefficient γ, then
  • sin θ ≥ 1- γ2
  • sin θ ≤ 1- γ2
  • sin θ ≤ γ2 + 1
  • sin θ ≤ γ2 - 1

Maths-Statistics-50714.png
  • (8, 5)
  • (5, 8)
  • (5, 5)
  • (8, 8)
The resultant of two forces 3P and 2P is R, if the first force is doubled, the resultant is also doubled. Theangle between the forces is

  • Maths-Statistics-50715.png
  • 2)
    Maths-Statistics-50716.png

  • Maths-Statistics-50717.png

  • Maths-Statistics-50718.png

Maths-Statistics-50720.png

  • Maths-Statistics-50721.png
  • 2)
    Maths-Statistics-50722.png

  • Maths-Statistics-50723.png

  • Maths-Statistics-50724.png
The maximum resultant of two forces is P and the minimum resultant is Q, the two forces are at right angles, the resultant is
  • P + Q
  • P – Q

  • Maths-Statistics-50726.png

  • Maths-Statistics-50727.png
A force is resolved into components P and Q equally inclined to it. Then,
  • P = 2Q
  • 2P = Q
  • P = Q
  • None of these
The resultant of two equal forces is equal to either of these forces. The angle between them is

  • Maths-Statistics-50729.png
  • 2)
    Maths-Statistics-50730.png

  • Maths-Statistics-50731.png

  • Maths-Statistics-50732.png
The greatest and least magnitude of the resultant of two forces of constant magnitude are F and G. When the forces act an angle 2α, the resultant in magnitudesis equal to

  • Maths-Statistics-50734.png
  • 2)
    Maths-Statistics-50735.png

  • Maths-Statistics-50736.png

  • Maths-Statistics-50737.png
The resultant of two force P N and 3 N is a force of 7 N.If the direction of 3N force were reversed, the resultantwould be √19. N. The value of P is
  • 5 N
  • 6 N
  • 3 N
  • 4 N
The direction of three forces 1 N, 2 N and 3 N acting at a point are parallel to the sides of an equilateral triangle taken in order. The magnitude of their resultant is

  • Maths-Statistics-50740.png
  • 3 N

  • Maths-Statistics-50741.png

  • Maths-Statistics-50742.png
Three forces of magnitude 30, 60 and P acting at a point are in equilibrium. If the angle between the first two is 60°, the value of P is

  • Maths-Statistics-50744.png
  • 2)
    Maths-Statistics-50745.png

  • Maths-Statistics-50746.png

  • Maths-Statistics-50747.png

Maths-Statistics-50749.png

  • Maths-Statistics-50750.png
  • 2)
    Maths-Statistics-50751.png

  • Maths-Statistics-50752.png

  • Maths-Statistics-50753.png

Maths-Statistics-50755.png

  • Maths-Statistics-50756.png
  • 2)
    Maths-Statistics-50757.png

  • Maths-Statistics-50758.png

  • Maths-Statistics-50759.png
A horizontal force F is applied to a small object P of mass m on a smooth plane inclined to the horizon at an angle θ. If F is just enough to keep P in equilibrium, then F =

  • Maths-Statistics-50761.png
  • 2)
    Maths-Statistics-50762.png

  • Maths-Statistics-50763.png

  • Maths-Statistics-50764.png
The resultant R of two forces P and Q act at right angles to P. Then the angle between the forces is

  • Maths-Statistics-50766.png
  • 2)
    Maths-Statistics-50767.png

  • Maths-Statistics-50768.png

  • Maths-Statistics-50769.png
The sum of the two forces is 18 and their resultant perpendicular to the lesser of the forces is 12, then thelesser force is
  • 5
  • 3
  • 7
  • 15
If the resultant of two forces is of magnitude P and equal to one of them and perpendicular to it, then the other force is

  • Maths-Statistics-50772.png
  • P

  • Maths-Statistics-50773.png
  • None of these
When a particle be kept at rest under the action of the following forces

  • Maths-Statistics-50775.png
  • 2)
    Maths-Statistics-50776.png

  • Maths-Statistics-50777.png

  • Maths-Statistics-50778.png

Maths-Statistics-50780.png
  • 1 : 1
  • 1 : 2
  • 1 : 3
  • 1 : 4
If the forces of 12, 5 and 13 unit-wt balance at a point, two of them are inclined at
  • 30°
  • 45°
  • 90°
  • 60°
Forces of 1, 2 unit act along the lines x = 0 and y = 0. The equation of the line of action of the resultant is

  • Maths-Statistics-50783.png
  • 2)
    Maths-Statistics-50784.png

  • Maths-Statistics-50785.png

  • Maths-Statistics-50786.png
If N is resolved in two components such that first istwice of other, the components are

  • Maths-Statistics-50788.png
  • 2)
    Maths-Statistics-50789.png

  • Maths-Statistics-50790.png
  • None of these
Three forces P, Q, R are acting at a point in a plane. The angle between P, Q and Q, R are 150° and 120° respectively, then for equilibrium; forces P, Q, R are inthe ratio
  • 1 : 2 : 3
  • 1 : 2 : 31/2
  • 3 : 2 : 1
  • (3)1/2 : 2 : 1

Maths-Statistics-50793.png
  • 4
  • 5

  • Maths-Statistics-50794.png
  • 30

Maths-Statistics-50796.png
  • π /2
  • 2π /3
  • π / 4
  • 4π / 5
Forces proportional to AB, BC and 2CA act along thesides of triangle ABC in order, their resultants represented in magnitude and direction is

  • Maths-Statistics-50798.png
  • 2)
    Maths-Statistics-50799.png

  • Maths-Statistics-50800.png

  • Maths-Statistics-50801.png
0:0:1


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