The angle between the two tangents from ...

The angle between the two tangents from the origin to the circle`(x-7)^2+ (y+1)^2=25` equals
(A) `pi/4` (B) `pi/3`

(C) `pi/2` (D) `pi/6`

Verified by Experts

y=mx
`(x-7)^2+(mx+1)^2`=25
`x^2+14x+49+m^2x^2+2mx+1=25`
`(1+m^2)x^2+(2m-14)x+25=0`
D=0
`b^2-4ac`
`(2m-14)^2-4(1+m^2)25=0`
`4(m-7)-4*25(1+m^2)=0`
...

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