Maths-
General
Easy
Question
The area of an ellipse is 8π sq. units dist. between the foci is
then e=
Hint:
Compare the two different formulas of eccentricity.
The correct answer is: 
Related Questions to study
Physics-
A point
moves in counter-clockwise direction on a circular path as shown in the figure. The movement of
is such that it sweeps out a length
, where
is in metres and
is in seconds. The radius of the path is
. The acceleration of
when
is nearly

As 


at




at
A point
moves in counter-clockwise direction on a circular path as shown in the figure. The movement of
is such that it sweeps out a length
, where
is in metres and
is in seconds. The radius of the path is
. The acceleration of
when
is nearly

Physics-General
As 


at




at
physics-
In a two dimensional motion of a particle, the particle moves from point
, position vector
. If the magnitudes of these vectors are respectively,
=3 and
and the angles they make with the
-axis are
and 15
, respectively, then find the magnitude of the displacement vector

Displacement 
angle between
and 

From figure

cos


angle between
From figure
In a two dimensional motion of a particle, the particle moves from point
, position vector
. If the magnitudes of these vectors are respectively,
=3 and
and the angles they make with the
-axis are
and 15
, respectively, then find the magnitude of the displacement vector

physics-General
Displacement 
angle between
and 

From figure

cos


angle between
From figure
physics-
A block(B) is attached to two unstretched springs
with springs constants
representively (see Fig. I) The other ends are attached to identical supports
and
not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block
is displaced towards wall I by small distance
and released. The block returns and moves a maximum distance y towards wall 2.Displacements
are measured with respect to the equilibrium position of the block
The ratio
is

From energy conservation,


A block(B) is attached to two unstretched springs
with springs constants
representively (see Fig. I) The other ends are attached to identical supports
and
not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block
is displaced towards wall I by small distance
and released. The block returns and moves a maximum distance y towards wall 2.Displacements
are measured with respect to the equilibrium position of the block
The ratio
is

physics-General
From energy conservation,


physics-
A small roller coaster starts at point A with a speed
on a curved track as shown in the figure.
The friction between the roller coaster and the track is negligible and it always remains in contact with the track. The speed of roller coaster at point
on the track will be

There is no loss of energy. Therefore, the final velocity is the same as the initial velocity.
Hence, The speed of roller coaster at point D is
Hence, The speed of roller coaster at point D is
A small roller coaster starts at point A with a speed
on a curved track as shown in the figure.
The friction between the roller coaster and the track is negligible and it always remains in contact with the track. The speed of roller coaster at point
on the track will be

physics-General
There is no loss of energy. Therefore, the final velocity is the same as the initial velocity.
Hence, The speed of roller coaster at point D is
Hence, The speed of roller coaster at point D is
Physics-
A body of mass
is moving with a uniform speed
along a circle of radius
, what is the average acceleration in going from
to
?
Here, 
Change in velocity is going from
to
= 
Average acceleration
Change in velocity is going from
Average acceleration
A body of mass
is moving with a uniform speed
along a circle of radius
, what is the average acceleration in going from
to
?
Physics-General
Here, 
Change in velocity is going from
to
= 
Average acceleration
Change in velocity is going from
Average acceleration
physics-
A body of mass
is moving with a uniform speed of
on friction less surface under the influence of two forces
and
. The net power of the system is

A body of mass
is moving with a uniform speed of
on friction less surface under the influence of two forces
and
. The net power of the system is

physics-General
physics-
From an inclined plane two particles are projected with same speed at same angle
, one up and other down the plane as shown in figure, which of the following statements is/are correct?


So,
From an inclined plane two particles are projected with same speed at same angle
, one up and other down the plane as shown in figure, which of the following statements is/are correct?

physics-General

So,
physics-
A particle of a mass
is subjected to a force which varies with distance as shown in fig. If it starts its journey from rest at
, its velocity at
is

Area between curve and displacement axis

In this time body acquire kinetic energy
By the law of conservation of energy


In this time body acquire kinetic energy
By the law of conservation of energy
A particle of a mass
is subjected to a force which varies with distance as shown in fig. If it starts its journey from rest at
, its velocity at
is

physics-General
Area between curve and displacement axis

In this time body acquire kinetic energy
By the law of conservation of energy


In this time body acquire kinetic energy
By the law of conservation of energy
maths-
P is a point on the ellipse
, S and
are the focii of the ellipse then 
P is a point on the ellipse
, S and
are the focii of the ellipse then 
maths-General
physics-
As per given future to complete the circular loop what should be the radius if initial height is 

As per given future to complete the circular loop what should be the radius if initial height is 

physics-General
physics-
Figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to initial horizontal velocity component, highest first

In path 4 range is maximum so football possess maximum horizontal velocity in the path
Figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to initial horizontal velocity component, highest first

physics-General
In path 4 range is maximum so football possess maximum horizontal velocity in the path
maths-
The area of the region bounded by
and y=1 in sq. units is


The area of the region bounded by
and y=1 in sq. units is

maths-General

maths-
Area of the region bounded by
and y=2 is



Area of the region bounded by
and y=2 is

maths-General


maths-
The area bounded by
and y=0 in the second quadrant is


The area bounded by
and y=0 in the second quadrant is

maths-General

maths-
The area bounded by the two curves
is


The area bounded by the two curves
is

maths-General
