The points of intersection of the line ax + by = 0, (a ≠ b) and the circle x^2 + y^2 - 2x = 0 are A(α, 0) and B(1, β). The image of the circle with AB as a diameter in the line x + y + 2 = 0 is :

The points of intersection of the line ax + by = 0, (a ≠ b)… — JEE Main 2023 Mathematics PYQ

JEE Main 2023 · 25 Jan · Shift 1

The points of intersection of the line

ax + by = 0

(a \neq b)

and the circle

x^2 + y^2 - 2x = 0

are

A(\alpha, 0)

and

B(1, \beta)

. The image of the circle with AB as a diameter in the line

x + y + 2 = 0

is :

Show answer

Correct option: D

[JEE Main 2023 · 25 Jan · Shift 1]

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