The value of c, for which the line y=2x+...

The value of c, for which the line `y=2x+c` is a tangent to the circle `x^2+y^2=16`, is

A

`-16sqrt5`

B

20

C

`4sqrt5`

D

`16sqrt5`

Verified by Experts

Similar Questions

Explore conceptually related problems

Line y=x+asqrt2 is a tangent to the circle x^2+y^2=a^2 at

The line sqrt3x+y-c=0 is atangent to the circle x^2+y^2=4 , if c is equal to

Solve the following:Show that the line 3x-4y+15=0 is a tangent to the circle x^2+y^2=9 ,Find the point of contact.

If y+c=0 is a tangent to the circle x^2+y^2-6x-2y+1=0 at (a,4) then

The equation to the tangent to the circle x^2+y^2-x+3y=10 at (-2,1) is

Answer the following:Show that the line 2x+y+6=0 is a tangent to the circle, x^2+y^2+2x-2y-3=0 .Find its point of contact.

Find the equation of a tangent to the circle x^2+y^2-3x+2y=0 at origin.

The gradient of the tangent at (6,8) on the circle x^2+y^2=100 is

The line x/a+y/b=1 will touch the circle x^2+y^2=c^2 if

The equation to the tangent to the circle x^2+y^2+2x-1=0 at (-1,sqrt2) is