Maths-
If one root of the equation
is reciprocal of the one of the roots of equation
then
Maths-General
Answer:The correct answer is: 
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maths-
A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of length 3, 4 and 5 units. Then area of the triangle is equal to:
A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of length 3, 4 and 5 units. Then area of the triangle is equal to:
maths-General
maths-
If the quadratic equation
and
have a common root then
is equal to
If the quadratic equation
and
have a common root then
is equal to
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Compounds (A) and (B) are – 
Compounds (A) and (B) are – 
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physics-
Two blocks of masses 10 kg and 4 kg are connected by a spring of negligible mass and placed on frictionless horizontal surface. An impulsive force gives a velocity of 14
to the heavier block in the direction of the lighter block. The velocity of centre of mass of the system at that very moment is

At the time of applying the impulsive force block of 10 kg pushes the spring forward but 4 kg mass is at rest.
Hence,

Hence,
Two blocks of masses 10 kg and 4 kg are connected by a spring of negligible mass and placed on frictionless horizontal surface. An impulsive force gives a velocity of 14
to the heavier block in the direction of the lighter block. The velocity of centre of mass of the system at that very moment is

physics-General
At the time of applying the impulsive force block of 10 kg pushes the spring forward but 4 kg mass is at rest.
Hence,

Hence,
maths-
In a Δabc if b+c=3a then
has the value equal to –
In a Δabc if b+c=3a then
has the value equal to –
maths-General
maths-
In a
simplifies to
In a
simplifies to
maths-General
maths-
In a triangle ABC, a: b: c = 4: 5: 6. Then 3A + B equals to :
In a triangle ABC, a: b: c = 4: 5: 6. Then 3A + B equals to :
maths-General
physics-
A bullet of mass
is fired with a velocity of 50
at an angle
with the horizontal. At the highest point of its trajectory, it collides had on with a bob of massless string of length
m and gets embedded in the bob. After the collision, the string moves to an angle of 120
. What is the angle 

Velocity of bullet at highest point of its trajectory = 50
in horizontal direction.
As bullet of mass
collides with pendulum bob of mass 3
and two stick together, their common velocity

As now under this velocity
pendulum bob goes up to an angel 120
, hence

or 
Comparing two answer of
, we get
or
As bullet of mass
As now under this velocity
Comparing two answer of
A bullet of mass
is fired with a velocity of 50
at an angle
with the horizontal. At the highest point of its trajectory, it collides had on with a bob of massless string of length
m and gets embedded in the bob. After the collision, the string moves to an angle of 120
. What is the angle 

physics-General
Velocity of bullet at highest point of its trajectory = 50
in horizontal direction.
As bullet of mass
collides with pendulum bob of mass 3
and two stick together, their common velocity

As now under this velocity
pendulum bob goes up to an angel 120
, hence

or 
Comparing two answer of
, we get
or
As bullet of mass
As now under this velocity
Comparing two answer of
physics-
A spherical hollow is made in a lead sphere of radius
such that its surface touches the outside surface of lead sphere and passes through the centre. What is the shift in the centre of lead sphere as a result of this hollowing?

Let centre of mass of lead sphere after hollowing be at point
where 
Mass of spherical hollow
and



shift 
Mass of spherical hollow

A spherical hollow is made in a lead sphere of radius
such that its surface touches the outside surface of lead sphere and passes through the centre. What is the shift in the centre of lead sphere as a result of this hollowing?

physics-General
Let centre of mass of lead sphere after hollowing be at point
where 
Mass of spherical hollow
and



shift 
Mass of spherical hollow

maths-
maths-General
maths-
The coefficient of
in
is
The coefficient of
in
is
maths-General
chemistry-
On heating a mixture of
ans
, we get –
On heating a mixture of
ans
, we get –
chemistry-General
physics-
Three identical blocks
and
are placed on horizontal frictionless surface. The blocks
and
are at rest. But
is approaching towards
with a speed 10
. The coefficient of restitution for all collisions is 0.5. The speed of the block
just after collision is

For collision between blocks
and
,


from principle of momentum conservation,

Or

Adding Eqs. (i) and (ii), we get

Similarly for collision between
and 

…(iv)
Adding Eqs. (iii) and (iv) we get


from principle of momentum conservation,
Or
Adding Eqs. (i) and (ii), we get
Similarly for collision between
Adding Eqs. (iii) and (iv) we get
Three identical blocks
and
are placed on horizontal frictionless surface. The blocks
and
are at rest. But
is approaching towards
with a speed 10
. The coefficient of restitution for all collisions is 0.5. The speed of the block
just after collision is

physics-General
For collision between blocks
and
,


from principle of momentum conservation,

Or

Adding Eqs. (i) and (ii), we get

Similarly for collision between
and 

…(iv)
Adding Eqs. (iii) and (iv) we get


from principle of momentum conservation,
Or
Adding Eqs. (i) and (ii), we get
Similarly for collision between
Adding Eqs. (iii) and (iv) we get
physics-
Two identical masses
and
are hanging stationary by a light pulley (shown in the figure). A shell
moving upwards with velocity
collides with the block
and gets stick to it. Then

When
collides with
then due to impulsive force, combined mass (
) starts to move upward. Consequently the string becomes slack
Two identical masses
and
are hanging stationary by a light pulley (shown in the figure). A shell
moving upwards with velocity
collides with the block
and gets stick to it. Then

physics-General
When
collides with
then due to impulsive force, combined mass (
) starts to move upward. Consequently the string becomes slack