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 –

- (4/3, 2/3)
- (4/3, 2/5)
- (3/2, 2/3)
- (2, 2/5)
Answer:The correct answer is: (4/3, 2/5)
Book A Free Demo

Grade*
Related Questions to study
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
The greatest possible number of points of intersections of 8 straight line and 4 circles is :
The greatest possible number of points of intersections of 8 straight line and 4 circles is :
Assertion (A):If
,then A
Reason (R) : 
Assertion (A):If
,then A
Reason (R) : 
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.
A force–time graph for a linear motion is shown in figure where the segments are circular. The linear momentum gained between zero and is
As the area above the time axis is numerically equal to area below the time axis therefore net momentum gained by body will be zero because momentum is a vector quantity
A force–time graph for a linear motion is shown in figure where the segments are circular. The linear momentum gained between zero and is
As the area above the time axis is numerically equal to area below the time axis therefore net momentum gained by body will be zero because momentum is a vector quantity
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
How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even position ?
How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even position ?
A person predicts the outcome of 20 cricket matches of his home team. Each match can result either in a win, loss or tie for the home team. Total number of ways in which he can make the predictions so that exactly 10 predictions are correct, is equal to :
A person predicts the outcome of 20 cricket matches of his home team. Each match can result either in a win, loss or tie for the home team. Total number of ways in which he can make the predictions so that exactly 10 predictions are correct, is equal to :
The sum of all the numbers that can be formed with the digits 2, 3, 4, 5 taken all at a time is (repetition is not allowed) :
The sum of all the numbers that can be formed with the digits 2, 3, 4, 5 taken all at a time is (repetition is not allowed) :
Total number of divisors of 480, that are of the form 4n + 2, n 0, is equal to :
Total number of divisors of 480, that are of the form 4n + 2, n 0, is equal to :
If 9P5 + 5 9P4 = 10Pr , then r =
If 9P5 + 5 9P4 = 10Pr , then r =
Assertion (A) :If
, then 
Reason (R) :
Assertion (A) :If
, then 
Reason (R) :
A particle is released from a height. At certain height its kinetic energy is three times its potential energy. The height and speed of the particle at that instant are respectively
Or (i)
Potential energy at (ii)
Kinetic energy potential energy
A particle is released from a height. At certain height its kinetic energy is three times its potential energy. The height and speed of the particle at that instant are respectively
Or (i)
Potential energy at (ii)
Kinetic energy potential energy
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 one kilowatt motor is used to pump water from a well 10 m deep. The quantity of water pumped out per second is nearly
A one kilowatt motor is used to pump water from a well 10 m deep. The quantity of water pumped out per second is nearly