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The coefficient of in is

Maths-General

#### Answer:The correct answer is:

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^{n}C_{r} + ^{2n}C_{r+1} + ^{n}C^{r+2} is equal to (2 r n)

^{n}C_{r} + ^{2n}C_{r+1} + ^{n}C^{r+2} is equal to (2 r n)

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#### A rectangle has sides of (2m – 1) & (2n – 1) units as shown in the figure composed of squares having edge length one unit then no. of rectangles which have odd unit length

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#### How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which not two S are adjacent ?

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#### The eccentricity of the hyperbola whose latus rectum subtends a right angle at centre is

#### The eccentricity of the hyperbola whose latus rectum subtends a right angle at centre is

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#### The value of ^{50}C_{4} + is -

#### The value of ^{50}C_{4} + is -

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#### The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is-

#### The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is-

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#### A mass of strikes the wall with speed at an angle as shown in figure and it rebounds with the same speed. If the contact time is , what is the force applied on the mass by the wall

Force = Rate of change of momentum

Initial momentum

Final momentum

Substituting

Force on the ball

Negative sign indicates direction of the force

Initial momentum

Final momentum

Substituting

Force on the ball

Negative sign indicates direction of the force

#### A mass of strikes the wall with speed at an angle as shown in figure and it rebounds with the same speed. If the contact time is , what is the force applied on the mass by the wall

physics-General

Force = Rate of change of momentum

Initial momentum

Final momentum

Substituting

Force on the ball

Negative sign indicates direction of the force

Initial momentum

Final momentum

Substituting

Force on the ball

Negative sign indicates direction of the force

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#### If the locus of the mid points of the chords of the ellipse , drawn parallel to is then

#### If the locus of the mid points of the chords of the ellipse , drawn parallel to is then

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#### If ^{n}C_{r} denotes the number of combinations of n things taken r at a time, then the expression ^{n}C_{r+1} + ^{n}C_{r –1} + 2 × ^{n}C_{r} equals-

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#### An intense stream of water of cross-sectional area strikes a wall at an angle with the normal to the wall and returns back elastically. If the density of water is and its velocity is ,then the force exerted in the wall will be

Linear momentum of water striking per second to the wall , similarly linear momentum of reflected water per second

Now making components of momentum along - axes and -axes. Change in momentum of water per second

By definition of force, force exerted on the Wall

Now making components of momentum along - axes and -axes. Change in momentum of water per second

By definition of force, force exerted on the Wall

#### An intense stream of water of cross-sectional area strikes a wall at an angle with the normal to the wall and returns back elastically. If the density of water is and its velocity is ,then the force exerted in the wall will be

physics-General

Linear momentum of water striking per second to the wall , similarly linear momentum of reflected water per second

Now making components of momentum along - axes and -axes. Change in momentum of water per second

By definition of force, force exerted on the Wall

Now making components of momentum along - axes and -axes. Change in momentum of water per second

By definition of force, force exerted on the Wall

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#### The force required to stretch a spring varies with the distance as shown in the figure. If the experiment is performed with above spring of half length, the line will

When the length of spring is halved, its spring constant will becomes double

Slope of force displacement graph gives the spring constant of spring

If becomes double then slope of the graph increases graph shifts towards force- axis

Slope of force displacement graph gives the spring constant of spring

If becomes double then slope of the graph increases graph shifts towards force- axis

#### The force required to stretch a spring varies with the distance as shown in the figure. If the experiment is performed with above spring of half length, the line will

physics-General

When the length of spring is halved, its spring constant will becomes double

Slope of force displacement graph gives the spring constant of spring

If becomes double then slope of the graph increases graph shifts towards force- axis

Slope of force displacement graph gives the spring constant of spring

If becomes double then slope of the graph increases graph shifts towards force- axis

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#### If the tangents drawn from a point on the hyperbola to the ellipse make angles α and β with the transverse axis of the hyperbola, then

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#### If the line is a normal to the hyperbola then

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