# Intermediate Maths solutions for Ellipse (maths class 12)

Inter Maths IIB solutions for Ellipse exercise 4(a) and 4(b) are given.

These solutions are very easy to understand. First you should study the textbook lesson very well.

Then you should also observe the example problems and solutions. Try them.

You can observe the solutions given below and try them in your own method.

**You can also see**

Inter Maths 1A textbook solutions

Inter Maths 1B textbook solutions

Inter Maths IIA textbook solutions

Inter Maths IIB textbook solutions

Model papers for maths SSC class 10 and Inter

## Inter maths solutions for Ellipse ( maths class 12)

Class 12 maths solution

**Exercise 4(a)**

**Problem**

Find the equation of the ellipse with focus at (1, – 1)e = 2/3 and directrix as x + y + 2 = 0.

Problem

Find the equation of the ellipse in the standard form whose distance between foci is 2 and the length of latus rectum is 15/2.

Problem

Find the equation of the ellipse in the standard form such that distance between foci is 8 and the distance between districes is 32.

Problem

Find the eccentricity of the ellipse, (in standard form) if its length of the latus rectum is equal to half of its majoor axis.

Problem

Find the equation of ellipse in the standard form, if it passes through the points (- 2, 2) and (3, – 1).

Problem

If the ends of major axis of an ellipse are (5, 0) and (- 5, ). Find the equation of the ellipse in the standard form if its focus lies on the line 3x – 5y – 9 = 0.

Problem

If the length of the major axis of an ellipse is three times the length of its minor axis then find the eccentricity of the ellipse.

Problem

Centre (4, – 1), one end of major axis is (- 1, – 1) and passing through (8, 0).

Problem

Centre (0, – 3), e = 2/3, semi minor axis is 5.

Problem

Centre (2, – 1), e = 1/2, length of latus rectum 4.

Problem

A man running on a race course notices that the sum of the distances of the two flag posts from him is always 10 m and the distance between the flag posts is 8 m. Find the equation of the race course traced by the man.

Problem

A line of fixed lengths (a + b) moves so that its ends are always on two perpendicular straight lines fixed. Prove that a marked point on the line, which divides this into portion of lengths ‘a’ and ‘b’ disccribes an ellipse and also find the eccentricity of the ellipse when a = 7, b = 12.

## Ellipse solutions Inter Maths IIB

**Exercise 4(b)**

### Maths 2b solutions for Ellipse Inter

Problem

Perpendicular to x + y + 2 = 0.

Problem

Show that the locus of the feet of the perpendicular drawn from foci to any tangent to the ellipse is the auxillary circle.

**Note : **Observe the solutions and try them in your own method.

Problem

Find the equation of the ellipse in the standard form such that distance between foci is 8 and distance between directrices is 32.

**You can see solutions for Inter text book Maths IIB**

1. Circle

3. Parabola

4. Ellipse

5. Hyperbola

6. Integration