Maths-

General

Easy

Question

# If where a<1, b<1 then

- xy+xz=yz+x
- xyz=x+y+z
- xy+yz=xz+y
- yz+zx=xy+z

Hint:

**We can write x as**

**Similarly, we can write y as**

**Similarly, we can write z as**

Multiply ab and equate the values and simplify

## The correct answer is: yz+zx=xy+z

### Given : , where a<1, b<1

To find : A relationship between x, y and z

We can write x as

Similarly, we can write y as

Similarly, we can write z as

Solving the above, we get

### Related Questions to study

Maths-

### If l, m, n are the terms of a G.P which are +ve, then

### If l, m, n are the terms of a G.P which are +ve, then

Maths-General

physics-

### The relationship between force and position is shown in the figure given (in one dimensional case) calculate the work done by the force in displacing a body from x=0 cm to x=5 cm

### The relationship between force and position is shown in the figure given (in one dimensional case) calculate the work done by the force in displacing a body from x=0 cm to x=5 cm

physics-General

Maths-

### Fifth term of G.P is 2 The product of its first nine terms is

### Fifth term of G.P is 2 The product of its first nine terms is

Maths-General

Maths-

### If a, b, c are in A.P then , are in

### If a, b, c are in A.P then , are in

Maths-General

biology

### The ultimate source of organic evolution is

### The ultimate source of organic evolution is

biologyGeneral

Maths-

### If are in A.P with common difference then sind terms]

### If are in A.P with common difference then sind terms]

Maths-General

Maths-

### The sum of all integers between 50 and 500 which are divisible by 7 is

### The sum of all integers between 50 and 500 which are divisible by 7 is

Maths-General

Maths-

### digits )=

### digits )=

Maths-General

maths-

### In a as shown in figure given that , then the value of is

### In a as shown in figure given that , then the value of is

maths-General

physics-

### A bob of mass M is suspended by a massless string of length L. The horizontal velocity at position A is just sufficient to make it reach the point B. The angle at which the speed of the bob is half of that at A, satisfies

### A bob of mass M is suspended by a massless string of length L. The horizontal velocity at position A is just sufficient to make it reach the point B. The angle at which the speed of the bob is half of that at A, satisfies

physics-General

physics-

### A particle of mass attracted with a string of length is just revolving on the vertical circle without slacking of the string. If and are speed at position and then

### A particle of mass attracted with a string of length is just revolving on the vertical circle without slacking of the string. If and are speed at position and then

physics-General

physics-

### A bob of mass is suspended by a massless string of length . The horizontal velocity at position is just sufficient to make it reach the point . The angle at which the speed of the bob is half of that at , satisfies

### A bob of mass is suspended by a massless string of length . The horizontal velocity at position is just sufficient to make it reach the point . The angle at which the speed of the bob is half of that at , satisfies

physics-General

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 ?

### 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

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

### 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

physics-

### A boy throws a cricket ball from the boundary to the wicket-keeper. If the frictional force due to air cannot be ignored, the forces acting on the ball at the position X are respected by

### A boy throws a cricket ball from the boundary to the wicket-keeper. If the frictional force due to air cannot be ignored, the forces acting on the ball at the position X are respected by

physics-General