If the chord y = mx + 1 of the circle x 2 + y 2 = 1 subtends an angle of measure 45 ∘ at the major segment of the circle then value of m is Options: A . &nbsp2 B . &nbsp-2 C . &nbsp-1 D . &nbspnone of these

If the chord y = mx + 1 of the circle x2+y2=1 subtends an angle of measure 45&#x

Question

If the chord y = mx + 1 of the circle

x^{2} + y^{2} = 1

subtends an angle of measure

45^{\circ}

at the major segment of the circle then value of m is

Options:

A . 2

B . -2

C . -1

D . none of these

Answer: Option C
:
C

x^{2} + y^{2} - (y - m x)^{2} = 0

Coefficient

x^{2}

+Coefficient

y^{2} = 0

m=+1 or -1

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