Question
Solid 
exists as–
The correct answer is:
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The coefficient of 
in 
is
The coefficient of in is
Statement I Two particles moving in the same direction do not lose all their energy in a completely inelastic collision.
Statement II Principle of conservation of momentum holds true for all kinds of collisions.
Statement I Two particles moving in the same direction do not lose all their energy in a completely inelastic collision.
Statement II Principle of conservation of momentum holds true for all kinds of collisions.
The coefficient of in 
is
The coefficient of in is
(Me)2SiCl2 on hydrolysis will produce -
Silicone
(Me)2SiCl2 on hydrolysis will produce -
Silicone
The coefficient of in 
is
The coefficient of in is
An elastic string of unstretched length and force constant is stretched by a small length . It is further stretched by another small length . The work done in the second stretching is
An elastic string of unstretched length and force constant is stretched by a small length . It is further stretched by another small length . The work done in the second stretching is
A shell of mass moving with velocity suddenly breaks into 2 pieces. The part having mass remains stationary. The velocity of the other shell will be
A shell of mass moving with velocity suddenly breaks into 2 pieces. The part having mass remains stationary. The velocity of the other shell will be
If 
then B=
If then B=
The set S : = { 1, 2, 3 .........12} is to be partitioned into three sets A, B, C of equal size. Thus A 
B C = S, A 
B = B C = A C = 
. The number of ways to partition S is -
×
= 
The set S : = { 1, 2, 3 .........12} is to be partitioned into three sets A, B, C of equal size. Thus A B C = S, A B = B C = A C = . The number of ways to partition S is -
× = Assertion (A) : The Remainder obtained when the polynomial 
is divided by 
Is 1
Reason (R): If 
is divided by 
then the remainder is f(a)
Assertion (A) : The Remainder obtained when the polynomial is divided by Is 1
Reason (R): If is divided by then the remainder is f(a)
A ball hits the floor and rebounds after inelastic collision. In this case
By the conservation of momentum in the absence of external force total momentum of the system (ball + earth) remains constant
A ball hits the floor and rebounds after inelastic collision. In this case
By the conservation of momentum in the absence of external force total momentum of the system (ball + earth) remains constant
A mass M is lowered with the help of a string by a distance h at a constant acceleration g/2. The work done by the string will be
A mass M is lowered with the help of a string by a distance h at a constant acceleration g/2. The work done by the string will be
A particle begins at the origin and moves successively in the following manner as shown, 1 unit to the right, 1/2 unit up, 1/4 unit to the right, 1/8 unit down, 1/16 unit to the right etc. The length of each move is half the length of the previous move and movement continues in the ‘zigzag’ manner indefinitely. The co-ordinates of the point to which the ‘zigzag’ converges is –
A particle begins at the origin and moves successively in the following manner as shown, 1 unit to the right, 1/2 unit up, 1/4 unit to the right, 1/8 unit down, 1/16 unit to the right etc. The length of each move is half the length of the previous move and movement continues in the ‘zigzag’ manner indefinitely. The co-ordinates of the point to which the ‘zigzag’ converges is –
The greatest possible number of points of intersections of 8 straight line and 4 circles is :
The number point of intersection between two circles can be counted by finding the number of ways in which one circle and one line can be selected out of the lot multiplied by 2 as one circle and one line can intersect at most two points.
For selecting r objects from n objects can be done by using the formula as follows
As mentioned in the question, we have to find the total number of intersection points.
For calculating the points of intersection between two lines, we can use the formula which is mentioned in the hint as follows =
For calculating the points of intersection between two circles, we can use the formula which is mentioned in the hint as follows =
For calculating the points of intersection between one line and one circle, we can use the formula which is mentioned in the hint as follows =
Hence, the total number of points of intersection is = 28 + 64 + 12 = 104
The greatest possible number of points of intersections of 8 straight line and 4 circles is :
The number point of intersection between two circles can be counted by finding the number of ways in which one circle and one line can be selected out of the lot multiplied by 2 as one circle and one line can intersect at most two points.
For selecting r objects from n objects can be done by using the formula as follows
As mentioned in the question, we have to find the total number of intersection points.
For calculating the points of intersection between two lines, we can use the formula which is mentioned in the hint as follows =
For calculating the points of intersection between two circles, we can use the formula which is mentioned in the hint as follows =
For calculating the points of intersection between one line and one circle, we can use the formula which is mentioned in the hint as follows =
Hence, the total number of points of intersection is = 28 + 64 + 12 = 104