Question bank/JEE Main/Mathematics

If the chord y = mx + 1 of circle $x^{2} + y^{2} = 1$ subtends an
angle of measure 45º at the major segment of the circle, then the value
of m is
ij
45º dks.k cukrh

A$2 \pm \sqrt{2}$B$- 2 \pm \sqrt{2}$C$- 1 \pm \sqrt{2}$Dnone of these buesa

Show answer and solution▾

$CM = \frac{1}{\sqrt{2}}$
$\frac{1}{\sqrt{1 + m^{2}}} = \frac{1}{\sqrt{2}} \Rightarrow m = \pm 1$

Source: Grass-G / M-25 Mathematics Paper 7 Jan.docx