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1 week, 5 days ago

The eccentricity of an ellipse whose centre is at the origin is

If one of its directrices is x=−4, then the equation of the normal to it at

is:

- Option 1)
- Option 2)
- Option 3)
- Option 4)

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As learned in concept

Eccentricity -

- wherein

For the ellipse

and

Equation of directrices -

- wherein

For the ellipse

we have & x=-4

From this we can calculate the value of a

so a=4

Now,

Hence, Equation of ellipse is-

Differentiate to get the value of slope-

So slope at given point is

Now by using the formula of normal of a equation-

normal at point is

we get the equation of the normal to be

**Option 1)**

**Correct**

Option 2)

Incorrect

Option 3)

Incorrect

Option 4)

Incorrect

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