Maths-

General

Easy

Question

# the focus of parabola (y – k)^{2} = 4 (x – h) always lies between the line x + y = 1 and x + y = 3 then -

- 0 h + k 2
- 0 h + k 1
- 1 h + k 2
- 1 h + k 3

## The correct answer is: 0 h + k 2

### To find the correct option.

Focus of the parabola is (h+1,k)

It is given that focus lies between $x+y=1$ and $x+y=3$

$1<x+y<3$
$1<h+1+k<3$
$0<h+k<2$

Therefore, 0<h+k<2 is the correct option.

### Related Questions to study

Maths-

### If the parabola y^{2} = 4ax passes through (3, 2), then length of latus rectum of the parabola is

### If the parabola y^{2} = 4ax passes through (3, 2), then length of latus rectum of the parabola is

Maths-General

Maths-

### The value of 'λ' such that vertex of parabola y = x^{2} + 2λx + 13 is 4 unit above x axis & lies in first quadrant is

### The value of 'λ' such that vertex of parabola y = x^{2} + 2λx + 13 is 4 unit above x axis & lies in first quadrant is

Maths-General

Maths-

### PSQ is a focal chord of a parabola whose focus is S & vertex A . PA and QA are produced to meet the directrix in R and T respectively then

### PSQ is a focal chord of a parabola whose focus is S & vertex A . PA and QA are produced to meet the directrix in R and T respectively then

Maths-General

physics-

### In the figure shown initially spring is in unstretched state & blocks are at rest. Now 100 N force is applied on block A & B as shown in the figure. After some time velocity of 'A' becomes 2 m/s & that of 'B' is 4 m/s & block A displaced by amount 10 cm and spring is stretched by amount 30 cm. Then work done by spring (in joule) force on A will be

### In the figure shown initially spring is in unstretched state & blocks are at rest. Now 100 N force is applied on block A & B as shown in the figure. After some time velocity of 'A' becomes 2 m/s & that of 'B' is 4 m/s & block A displaced by amount 10 cm and spring is stretched by amount 30 cm. Then work done by spring (in joule) force on A will be

physics-General

physics-

### In the figure, the ball A is released from rest when the spring is at its natural length. For the block B, of mass M to leave contact with the ground at some stage, the minimum mass of A must be:

### In the figure, the ball A is released from rest when the spring is at its natural length. For the block B, of mass M to leave contact with the ground at some stage, the minimum mass of A must be:

physics-General

physics-

### In the track shown in figure section AB is a quadrant of a circle of 1 metre radius. A block is released at A and slides without friction until it reaches B. After B it moves on a rough horizontal floor and comes to rest at distance 3 metres from B. What is the coefficient of friction between floor and body ?

### In the track shown in figure section AB is a quadrant of a circle of 1 metre radius. A block is released at A and slides without friction until it reaches B. After B it moves on a rough horizontal floor and comes to rest at distance 3 metres from B. What is the coefficient of friction between floor and body ?

physics-General

physics-

### A particle of mass m moving along a straight line experiences force F which varies with the distance x travelled as shown in the figure. If the velocity of the particle at x0 is , then velocity at 4 is:-

### A particle of mass m moving along a straight line experiences force F which varies with the distance x travelled as shown in the figure. If the velocity of the particle at x0 is , then velocity at 4 is:-

physics-General

physics-

### Power versus time graph for a given force is given below. Work done by the force up to time t(£ t0 )

### Power versus time graph for a given force is given below. Work done by the force up to time t(£ t0 )

physics-General

physics-

### A particle A of mass is moving in the positive direction of x. Its initial position is x = 0 & initial velocity is 1 m/s. The velocity at x = 10 is in m/s (use the graph given)

### A particle A of mass is moving in the positive direction of x. Its initial position is x = 0 & initial velocity is 1 m/s. The velocity at x = 10 is in m/s (use the graph given)

physics-General

physics-

### Block ‘A‘ is hanging from a vertical spring and is at rest. Block ‘B‘ strikes the block ‘A’ with velocity ‘v‘ and sticks to it. Then the value of ‘ v ‘ for which the spring just attains natural length is

### Block ‘A‘ is hanging from a vertical spring and is at rest. Block ‘B‘ strikes the block ‘A’ with velocity ‘v‘ and sticks to it. Then the value of ‘ v ‘ for which the spring just attains natural length is

physics-General

physics-

### Statement 1:Sound waves cannot propagate through vacuum but light waves can

Statement 2:Sound waves cannot be polarised but light waves can be polarized

### Statement 1:Sound waves cannot propagate through vacuum but light waves can

Statement 2:Sound waves cannot be polarised but light waves can be polarized

physics-General

Maths-

### Straight line x + my + n = 0 touches parabola y^{2} = 4ax if n = am^{k} then k =

### Straight line x + my + n = 0 touches parabola y^{2} = 4ax if n = am^{k} then k =

Maths-General

Maths-

### If _{1} & _{2} are length of segments of focal chord of parabola y^{2} = 4ax than harmonic mean of _{1} & _{2} is equal to

### If _{1} & _{2} are length of segments of focal chord of parabola y^{2} = 4ax than harmonic mean of _{1} & _{2} is equal to

Maths-General

physics-

### Four similar point masses (each of mass m) are placed on the circumference of a disc of mass M and radius R. The M.I. of the system about the normal axis through the centre O will be:-

### Four similar point masses (each of mass m) are placed on the circumference of a disc of mass M and radius R. The M.I. of the system about the normal axis through the centre O will be:-

physics-General

physics-

### We have a rectangular slab of same thickness. E, F, G, H are the middle point of AB, BC, CD and AD respectively then which of the following axis the moment of inertia will be minimum :–

### We have a rectangular slab of same thickness. E, F, G, H are the middle point of AB, BC, CD and AD respectively then which of the following axis the moment of inertia will be minimum :–

physics-General