The condition for a line y = 2x + c to t...

The condition for a line `y = 2x + c` to touch the circle `x^(2) + y^(2) = 16` is...

A

`2/3`

B

`(4 pi-sqrt(3))/(8 pi+sqrt(3))`

C

`(4 pi+sqrt(3))/(8 pi-sqrt(3))`

D

None of these

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If the straight line 3x + 4y = k touches the circle x^(2) + y^(2) = 16 x , then the values of k are

The line y=x+a sqrt(2) touches the circle x^(2)+y^(2)=a^(2) at the point

The st. line y = 4x + c touches the hyperbola x^2-y^2=1 if .

If 2 y+x+3=0 touches the circle 5 x^(2)+5 y^(2)=k then k=

The line 5 x+12 y=9 touch the hyperbola x^(2)-9 y^(2)=9 at

If the line y=m x is outside the circle x^(2)+y^(2)-20 y+90=0 then

Show that the line 3x-4y=1 touches the circle x^(2)+y^(2)-2x+4y+1=0 .

The equation of the line which is a tangent to both the circle x^(2)+y^(2)=5 and the parabola y^(2)=40 x is

The equation of the line which is tangent to both the circle x^(2)+y^(2)=50 and the parabola y^(2)=40 x is

The line 2 x+3 y=12 touches the ellipse 4 x^(2)+9 y^(2)=72 at