Home
Class 11
MATHS
If two tangents are drawn from a point t...

If two tangents are drawn from a point to the circle `x^(2)+y^(2)=32` to the circle `x^(2)+y^(2)=16`, then the angle between the tangents is :

A

`(pi)/(4)`

B

`(pi)/(3)`

C

`(pi)/(2)`

D

`(pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
C
`S_(1):x^(2)+y^(2)=32`
`S_(2):x^(2)+y^(2)=16`
`rArr" "S_(1)=0" is the director circle of "S_(2)=0`
`rArr" Director circle is the locus of two perpendicular tangents"`
`"Angle is "(pi)/(2)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Statement I Two tangents are drawn from a point on the circle x^(2)+y^(2)=50 to the circle x^(2)+y^(2)=25 , then angle between tangents is (pi)/(3) Statement II x^(2)+y^(2)=50 is the director circle of x^(2)+y^(2)=25 .

If two tangents are drawn from a point on x^(2)+y^(2)=16 to the circle x^(2)+y^(2)=8 then the angle between the tangents is

Tangents are drawn from any point on circle x^(2)+y^(2)-4x=0 to the circle x^(2)+y^(2)-4x+2=0 then angle between tangents is:

Tangents are drawn from a point on the circle x^(2)+y^(2)-4x+6y-37=0 to the circle x^(2)+y^(2)-4x+6y-12=0 . The angle between the tangents, is

If tangents are drawn from any point on the circle x^(2) + y^(2) = 25 the ellipse (x^(2))/(16) + (y^(2))/(9) =1 then the angle between the tangents is

If tangents are drawn from origin to the circle x^(2)+y^(2)-2x-4y+4=0, then

Tangents are drawn from any point on the circle x^(2)+y^(2) = 41 to the ellipse (x^(2))/(25)+(y^(2))/(16) =1 then the angle between the two tangents is

Tangents are drawn from a point on the circle x^(2)+y^(2)=11 to the hyperbola x^(2)/(36)-(y^(2))/(25)=1 ,then tangents are at angle:

If from any point on the circle x^(2)+y^(2)=a^(2) tangents are drawn to the circle x^(2)+y^(2)=b^(2), (a>b) then the angle between tangents is