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JEE Questions for Maths Statistics Quiz 3 - MCQExams.com
JEE
Maths
Statistics
Quiz 3
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0.2
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0.5
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0.66
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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
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3.2
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-3.2
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4
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0.16
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-3.1
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-3.2
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-3.3
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-3.4
If the lines of regression are 3
x
+ 12y = 19 and 3y + 9
x
= 46, then r
x
y
will be
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0.289
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-0.289
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0.209
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None of these
If θ is the angle between two regression lines with correlation coefficient γ, then
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sin θ ≥ 1- γ2
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sin θ ≤ 1- γ2
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sin θ ≤ γ2 + 1
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sin θ ≤ γ2 - 1
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(8, 5)
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(5, 8)
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(5, 5)
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(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
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2)
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The maximum resultant of two forces is P and the minimum resultant is Q, the two forces are at right angles, the resultant is
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P + Q
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P – Q
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A force is resolved into components P and Q equally inclined to it. Then,
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P = 2Q
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2P = Q
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P = Q
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None of these
Explanation
It is obvious
The resultant of two equal forces is equal to either of these forces. The angle between them is
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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
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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
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5 N
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6 N
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3 N
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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
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3 N
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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
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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 =
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The resultant R of two forces P and Q act at right angles to P. Then the angle between the forces is
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The sum of the two forces is 18 and their resultant perpendicular to the lesser of the forces is 12, then thelesser force is
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5
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3
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7
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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
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P
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None of these
When a particle be kept at rest under the action of the following forces
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2)
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1 : 1
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1 : 2
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1 : 3
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1 : 4
If the forces of 12, 5 and 13 unit-wt balance at a point, two of them are inclined at
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30°
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45°
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90°
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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
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2)
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If N is resolved in two components such that first istwice of other, the components are
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2)
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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
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1 : 2 : 3
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1 : 2 : 31/2
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3 : 2 : 1
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(3)1/2 : 2 : 1
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4
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5
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30
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π /2
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2π /3
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π / 4
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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
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