Angle between tangents drawn to x2+y2−2x−4y+1=0 at the points where it is cut by the line y=2x+c,isπ2 then
A
|c|=√5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
|c|=2√5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
|c|=√10
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
|c|=2√10
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C|c|=√10 x2+y2−20−4y+1=0y=20+c
Radius of the circle = 2
perpendicular distance of line y = 20 + c from the centre of the circle, d=c√5 cosθ=dr,(θ=π4)c2√5=1√2c=√10