Question
If X and Y are two independent variables with means 5 and 10 and variances 4 and 9 respectively. If
, then r (U, V) is equal to-
- 0
- 1
- None of these
The correct answer is: 0
Related Questions to study
For the reaction If 1 mol of
,then the value of in the reaction is
For the reaction If 1 mol of
,then the value of in the reaction is
Light wave is travelling along y-direction. If the corresponding
vector at any time is along the x-axis, the direction of
vector at that time is along
![](data:image/png;base64,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)
Light wave is travelling along y-direction. If the corresponding
vector at any time is along the x-axis, the direction of
vector at that time is along
![](data:image/png;base64,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)
The intensity of gamma radiation from a given source is I. On passing through 36 mm of lead, it is reduced to
. The thickness of lead which will reduce the intensity to
will be
The intensity of gamma radiation from a given source is I. On passing through 36 mm of lead, it is reduced to
. The thickness of lead which will reduce the intensity to
will be
If
, then the value of
is-
If
, then the value of
is-
An organic Compound
forms a precipitate with Tollens and Fehling’s regents. (A) has an isomer (B) . (B) reacts with 1 mol of
to form 1, 4 dibromo-2-butene. (A) and (B) are:
An organic Compound
forms a precipitate with Tollens and Fehling’s regents. (A) has an isomer (B) . (B) reacts with 1 mol of
to form 1, 4 dibromo-2-butene. (A) and (B) are:
In alkaline medium,
and is itself reduced to
How many moles of
are oxidized by 1 mol of ![ClO subscript 2](data:image/png;base64,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)
In alkaline medium,
and is itself reduced to
How many moles of
are oxidized by 1 mol of ![ClO subscript 2](data:image/png;base64,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)
Figure represents a glass plate placed vertically on a horizontal table with a beam of Unpolarised light falling on its surface at the Polarising angle of
with the normal. The electric vector in the reflected light on screen S will vibrate with respect to the plane of incidence in a
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)
Figure represents a glass plate placed vertically on a horizontal table with a beam of Unpolarised light falling on its surface at the Polarising angle of
with the normal. The electric vector in the reflected light on screen S will vibrate with respect to the plane of incidence in a
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)
An aromatic compound
on oxidation with acidic
gives dibasic acid.The compound (A) on nitration gives three isomeric nitro derivatives.The compound (A) is:
An aromatic compound
on oxidation with acidic
gives dibasic acid.The compound (A) on nitration gives three isomeric nitro derivatives.The compound (A) is:
If A = {x : x
N, x is a factor of 6} and B = {x
N : x is a factor of 8} then
is
When we have to find intersection of two sets, we have to find their common elements. When we have to find union of two sets, we have to consider all the elements of both the sets.
If A = {x : x
N, x is a factor of 6} and B = {x
N : x is a factor of 8} then
is
When we have to find intersection of two sets, we have to find their common elements. When we have to find union of two sets, we have to consider all the elements of both the sets.
Which of the following is not an intra molecular redox reaction?
Which of the following is not an intra molecular redox reaction?
The roster form of the set A = {x : x
N, x < 8} is
Roster form gives us list of all elements of the sets. Set builder form gives the details of the set in compact form.
The roster form of the set A = {x : x
N, x < 8} is
Roster form gives us list of all elements of the sets. Set builder form gives the details of the set in compact form.
The appropriate reagent for the following transformation is:
The appropriate reagent for the following transformation is:
The oxidation number of Pt in
is
The oxidation number of Pt in
is
A particular emission line, detected in the light from a galaxy, has a wavelength
, where
is the proper wavelength of the line. The galaxy distance from us
A particular emission line, detected in the light from a galaxy, has a wavelength
, where
is the proper wavelength of the line. The galaxy distance from us
Identify the set from the following which cannot form acetone in a single –step reaction
Identify the set from the following which cannot form acetone in a single –step reaction