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Q.

If the chord $y = m x + 1$ of the circle $x^{2} + y^{2} = 1$ subtends an angle $45^{\circ}$ at the major segment of the circle, then value of m is

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a

2

b

-2

c

0

d

$- 1$

answer is C.

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Detailed Solution

Question Image

$\cos 45 = \frac{C P}{C R} \Rightarrow \frac{1}{\sqrt{2}} = \frac{1}{\sqrt{m^{2} + 1}} m = \neq 1$

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