ellipse

Find the length of the chord of the ellipse x²/25 + y²/16 = 1 , whose middle point is ( 1/2 , 2/5 ) .

1 Answers

Let " T " be the equation of the chord .

Let " S " denote the equation of the ellipse .

Then the chord having its middle point as ( x ₁ , y ₁ ) is given by -

T = S ₁

Here , S ₁ â‰¡ x x ₁25 + y y ₁16 - 1

Put , x ₁ = 12 , y ₁ = 25 .

The equation of the chord is ,

4 x + 5 y = 200

Now , do you want to try yourself ?

Try to think a simpler method also .

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