Maths-

General

Easy

Question

# The equation of the ellipse with axes along the x – axis and the y – axis, which passes through the points P (4, 3) and Q (6, 2) is

Hint:

### When the centre of the ellipse is at the origin (0,0) and the foci are on the x-axis and y-axis, then we can easily derive the ellipse equation.

**The equation of the ellipse is given by;**

## The correct answer is:

### The equation of the ellipse is given by;

........ (1)

Given : It passes through the points P (4, 3) and Q (6, 2)

Thus from equation (1)

........... (a)

........... (b)

Subtracting (b) from (a), we get

Putting the value of in equation (a)

### Related Questions to study

physics

### Which area shows the displacement covered by the particle after time t.

### Which area shows the displacement covered by the particle after time t.

physicsGeneral

Chemistry-

### Polarization power of a cation increases when

### Polarization power of a cation increases when

Chemistry-General

physics

### Here are the graphs of v→ t of moving body. which of them is not suitable

### Here are the graphs of v→ t of moving body. which of them is not suitable

physicsGeneral

Maths-

### The number of values of c such that st. line y = 4x + c touches the curve is

### The number of values of c such that st. line y = 4x + c touches the curve is

Maths-General

Maths-

### Tangents are drawn to the ellipse at the ends of the latus rectum. The are of the quadrilateral so formed is

### Tangents are drawn to the ellipse at the ends of the latus rectum. The are of the quadrilateral so formed is

Maths-General

Maths-

### A tangent to the ellipse x^{2} + 4y^{2} = 4 meets the ellipse x^{2} + 2y^{2} = 6 at P and Q. The angle between the tangents at P and Q of the ellipse x^{2} + 2y^{2} = 6 is

### A tangent to the ellipse x^{2} + 4y^{2} = 4 meets the ellipse x^{2} + 2y^{2} = 6 at P and Q. The angle between the tangents at P and Q of the ellipse x^{2} + 2y^{2} = 6 is

Maths-General

physics

### Here are the graphs of x→ t of moving body. which of them is not suitable?

### Here are the graphs of x→ t of moving body. which of them is not suitable?

physicsGeneral

Maths-

### A cubic polynomial f(x) = ax^{3} + bx^{2} + cx + d has a graph which touches the x-axis at 2, has another x-intercept at –1 and has y-intercept at –2 as shown. The value of, a + b + c + d equals

### A cubic polynomial f(x) = ax^{3} + bx^{2} + cx + d has a graph which touches the x-axis at 2, has another x-intercept at –1 and has y-intercept at –2 as shown. The value of, a + b + c + d equals

Maths-General

Maths-

### Consider f(x) = |1–x| 1 £ x £ 2 and g(x )= f(x) + b , 1 £ x £ 2 then which of the following is correct?

### Consider f(x) = |1–x| 1 £ x £ 2 and g(x )= f(x) + b , 1 £ x £ 2 then which of the following is correct?

Maths-General

Maths-

### The value of c in Lagrange’s theorem for the function f(x) = log sin x in the interval is -

### The value of c in Lagrange’s theorem for the function f(x) = log sin x in the interval is -

Maths-General

physics

### The relation between time and displacement of a moving particle is given by where is a constant. The shape of the graph is is....

### The relation between time and displacement of a moving particle is given by where is a constant. The shape of the graph is is....

physicsGeneral

Maths-

### If P (q) and Q are two points on the ellipse , then locus of the mid – point of PQ is

### If P (q) and Q are two points on the ellipse , then locus of the mid – point of PQ is

Maths-General

Maths-

### If CP and CD are semi – conjugate diameters of an ellipse then CP^{2} + CD^{2} =

### If CP and CD are semi – conjugate diameters of an ellipse then CP^{2} + CD^{2} =

Maths-General

Maths-

### The normals to the curve x = a ( + sin ), y = a (1 – cos ) at the points = (2n + 1) , n I are all -

### The normals to the curve x = a ( + sin ), y = a (1 – cos ) at the points = (2n + 1) , n I are all -

Maths-General

Maths-

### The normal to the curve x = 3 cos – , y = 3 sin – at the point = /4 passes through the point -

### The normal to the curve x = 3 cos – , y = 3 sin – at the point = /4 passes through the point -

Maths-General