If the circle x^(2) + y^(2) = 9 touches ...

If the circle `x^(2) + y^(2) = 9` touches the circle `x^(2) + y^(2) + 6y + c = 0` internally, then c is equal to

`-27`

`-36`

Text Solution

Verified by Experts

Topper's Solved these Questions

CIRCLE
MOTION|Exercise Exercise - 2(Level - I) (Objective Problems | JEE Main)|39 Videos
CIRCLE
MOTION|Exercise Exercise -2 (Level - II) Multiple correct | JEE Advanced|14 Videos
CIRCLE
MOTION|Exercise Exercise - 4 | Level - II (Previous Year | JEE Advanced|22 Videos
BINOMIAL THEOREM
MOTION|Exercise Exercise -4 (Level - II) ( Previous Year )|7 Videos
COMPLEX NUMBER
MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 Videos

Similar Questions

Explore conceptually related problems

Circle x ^(2) + y^(2)+6y=0 touches

If the circle x^(2)+y^(2)+8x-4y+c=0 touches the circle x^(2)+y^(2)+2x+4y-11=0 externally and cuts the circle x^(2)+y^(2)-6x+8y+k=0 orthogonally then k

If line 3x - y + c = 0 touches circle x^(2) + y^(2) - 2x + 8y - 23 =0 , then c =

The tangent to the circle x^(2)+y^(2)=5 at (1,-2) also touches the circle x^(2)+y^(2)-8x+6y+20=0. Find the coordinats of the corresponding point of contact.

STATEMENT-1 : Equation of circle which touches the circle x^(2) + y^(2) - 6x +6y + 17 = 0 externally and to which the lines x^(2) - 3xy - 3x + 9y = 0 are normal is x^(2) + y^(2) - 6x - 2y +1 = 0 . STATEMENT-2 : Equation of circle which touches the circle x^(2) + y^(2) -6x + 6y + 17 = 0 internally and to which the line x^(2) - 3xy - 3x + 9y = 0 are normal is x^(2) + y^(2) -6x - 2y -15 = 0 . STATMENT-3 : Equation of circle which is orthogonal to circle x^(2) + y^(2) -6x + 6y + 17 = 0 and have normals along x^(2) -3xy -3x + 9y =0 is x^(2) + y^(2) - 6x -2 y-5 = 0 .

The circle x ^(2) + y ^(2) =9 is contained in the circle x ^(2) + y ^(2) - 6x - 8y + 25=c^(2) If

If the circle x^(2)+y^(2)=4 bisects the circumference of the circle x^(2)+y^(2)-2x+6y+a=0 , then 'a' equals

The tangent to the circle x^(2)+y^(2)=5 at (1, -2) also touches the circle x^(2)+y^(2)-8x+6y+20=0. Find the coordinates of the corresponding point of contact.

If circles x^(2) + y^(2) = 9 " and " x^(2) + y^(2) + 2ax + 2y + 1 = 0 touch each other , then a =

MOTION-CIRCLE-Exercise - 1 (Objective Problems | JEE Main)

find the locus of mid point of chords of circle x^2 +y^2= 25 which sub...
Text Solution
|
The equation to the chord of the circle x^(2) + y^(2) = 16 which is bi...
Text Solution
|
The locus of the centers of the circles such that the point (2, 3) is...
Text Solution
|
Tangents are drawn from (4, 4) to the circle x^(2) + y^(2) – 2x – 2y –...
Text Solution
|
Pair of tangents are drawn from every point on the line 3x + 4y = 12 o...
Text Solution
|
The equation of pair of tangents drawn from the point (0,1) to the cir...
Text Solution
|
From the point P(16,7), tangents PQ and PR are drawn to the circle x^2...
Text Solution
|
Equation of the circle touching the circle x^(2) + y^(2) - 15x + 5y = ...
Text Solution
|
The number of common tangents of the circles x^(2) + y^(2) – 2x – 1 = ...
Text Solution
|
If the circle x^(2) + y^(2) = 9 touches the circle x^(2) + y^(2) + 6y ...
Text Solution
|
If the circumference of the circle x^(2) + y^(2) + 8x + 8y - b = 0 i...
Text Solution
|
The distance from the center of the circle x^2+y^2=2x to the common ch...
Text Solution
|
The equation of three circles are given x^2+y^2=1,x^2+y^2-8x+15=0,x^2+...
Text Solution
|
The locus of the centers of the circles which cut the circles x^(2) + ...
Text Solution
|
Two given circles x^(2) + y^(2) + ax + by + c = 0 and x^(2) + y^(2) + ...
Text Solution
|
If the circles of same radius a and centers at (2, 3) and 5, 6) cut or...
Text Solution
|
If a^2 + b^2 - 1,m^2 +n^2 =1, then
Text Solution
|
Tangent are drawn to the circle x^2+y^2=1 at the points where it is me...
Text Solution
|
AB is a diameter of a circle. CD is a chord parallel to AB and 2CD = A...
Text Solution
|
(6, 0), (0, 6) and (7, 7) are the vertices of a triangle. The circle i...
Text Solution
|