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
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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
in horizontal direction.As bullet of mass
collides with pendulum bob of mass 3 and two stick together, their common velocityAs now under this velocity
pendulum bob goes up to an angel 120, hence or Comparing two answer of
, we get orA 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
in horizontal direction.As bullet of mass
collides with pendulum bob of mass 3 and two stick together, their common velocityAs now under this velocity
pendulum bob goes up to an angel 120, hence or Comparing two answer of
, we get orphysics-
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 
where Mass of spherical hollow
and shift 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
where Mass of spherical hollow
and shift 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
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
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
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
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
collides with then due to impulsive force, combined mass () starts to move upward. Consequently the string becomes slackTwo 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
collides with then due to impulsive force, combined mass () starts to move upward. Consequently the string becomes slack