Question bank/JEE Main/Mathematics

Equation of the line passing through centre and bisecting the
chord 7x + y = 20 of the ellipse [IMAGE], is

Ax + y = 5Bx + y = 0Cx - y = 0Dx - y = 5

Show answer and solution▾

Let the mid­‑point of chord by (α, β), so its equation is αx
Now, on comparing with 7x + y = 20, we get [IMAGE] ⇒ α =
β.
So, the required line be y =[IMAGE] ⇒ y = x.

Source: Grass-G / M-02 Mathematics Paper-2.docx