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5 months, 3 weeks ago

# Can someone explain - Co-ordinate geometry - JEE Main-6

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) Answers (2)
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N neha
Answered 5 months ago
S solutionqc
Answered 5 months, 3 weeks ago

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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