Maths-

General

Easy

Question

# The eccentricity of the conic 3x^{2} + 4y^{2} = 24 is

Hint:

**Formula for eccentricity(e)**

## The correct answer is:

### Given :

Dividing by 24 on both sides , we get

On comparing with general form

Formula for eccentricity(e)

Substituting the values,

Thus, The eccentricity of the conic is

### Related Questions to study

Maths-

### The equation of the ellipse whose focus is (1, -1). directrix x – y – 3 = 0 and eccentricity is

### The equation of the ellipse whose focus is (1, -1). directrix x – y – 3 = 0 and eccentricity is

Maths-General

Maths-

### The equation ax^{2} + 2hxy + by^{2} + 2gx + 2fy + c = 0 represents an ellipse if

### The equation ax^{2} + 2hxy + by^{2} + 2gx + 2fy + c = 0 represents an ellipse if

Maths-General

Maths-

### On a new year day every student of a class sends a card to every other student. The postman delivers 600 cards. The number of students in the class are :

### On a new year day every student of a class sends a card to every other student. The postman delivers 600 cards. The number of students in the class are :

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

Maths-

### An ellipse has OB as a semi – minor axis, F, F¢ are its foci and the angle FBF¢ is a right angle. Then the eccentricity of the ellipse is

### An ellipse has OB as a semi – minor axis, F, F¢ are its foci and the angle FBF¢ is a right angle. Then the eccentricity of the ellipse is

Maths-General

Maths-

### The equation of the tangents drawn at the ends of the major axis of the ellipse 9x^{2} + 5y^{2} – 30y = 0 is

### The equation of the tangents drawn at the ends of the major axis of the ellipse 9x^{2} + 5y^{2} – 30y = 0 is

Maths-General

Maths-

### For the ellipse 3x^{2} + 4y^{2} – 6x + 8y – 5 = 0

### For the ellipse 3x^{2} + 4y^{2} – 6x + 8y – 5 = 0

Maths-General

Maths-

### If S’ and S are the foci of the ellipse and P (x, y) be a point on it, then the value of SP + S’P is

### If S’ and S are the foci of the ellipse and P (x, y) be a point on it, then the value of SP + S’P is

Maths-General

Maths-

### The eccentricity of the curve represented by the equation x^{2} + 2y^{2} – 2x + 3y + 2 = 0 is

### The eccentricity of the curve represented by the equation x^{2} + 2y^{2} – 2x + 3y + 2 = 0 is

Maths-General

Maths-

### The foci of the ellipse 25 (x + 1)^{2} + 9 (y + 2)^{2} = 225 are

### The foci of the ellipse 25 (x + 1)^{2} + 9 (y + 2)^{2} = 225 are

Maths-General

Maths-

### The eccentricity of the ellipse 9x^{2} + 5y^{2} – 30y = 0 is

### The eccentricity of the ellipse 9x^{2} + 5y^{2} – 30y = 0 is

Maths-General

Maths-

### The sum of all possible numbers greater than 10,000 formed by using {1,3,5,7,9} is

### The sum of all possible numbers greater than 10,000 formed by using {1,3,5,7,9} is

Maths-General

Maths-

### Number of different permutations of the word 'BANANA' is

**In this question, one might think that the total number of permutations for the word BANANA is 6!**

This is wrong because in the word BANANA we have the letter A repeated thrice and the letter N repeated twice.

### Number of different permutations of the word 'BANANA' is

Maths-General

**In this question, one might think that the total number of permutations for the word BANANA is 6!**

This is wrong because in the word BANANA we have the letter A repeated thrice and the letter N repeated twice.

Maths-

### The number of one - one functions that can be defined from into is

### The number of one - one functions that can be defined from into is

Maths-General

Maths-

### Four dice are rolled then the number of possible out comes is

### Four dice are rolled then the number of possible out comes is

Maths-General