If circles x^(2) + y^(2) - 3x + ky - 5 ...

If circles ` x^(2) + y^(2) - 3x + ky - 5 = 0 " and " 4x^(2) + 4y^(2) - 12x- y - 9 = 0 ` are concentric , then k =

`(-1)/(8) `

`(1)/(8) `

`(1)/(4)`

`(-1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

CIRCLE AND CONICS
MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos
CIRCLE AND CONICS
MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos
BERNOULLI TRIALS AND BINOMIAL DISTRIBUTION
MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|79 Videos
PROBABILITY
MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|239 Videos

Similar Questions

Explore conceptually related problems

If the two circle x^(2) + y^(2) - 3x + ky - 5 = 0 and 4x^(2) + 4y^(2) - 12x - y - 9 = 0 are concentric , then : k =

Equation of radical axis of the circles x^(2) + y^(2) - 3x - 4y + 5 = 0 and 2x^(2) + 2y^(2) - 10x - 12y + 12 = 0 is

If the two circle x^(2) + y^(2) - 10 x - 14y + k = 0 and x^(2) + y^(2) - 4x - 6y + 4 = 0 are orthogonal , find k.

The locus of the centers of the circles which cut the circles x^(2) + y^(2) + 4x – 6y + 9 = 0 and x^(2) + y^(2) – 5x + 4y – 2 = 0 orthogonally is

(i) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 6x + 12y + 15 = 0 and of double its radius. (ii) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 2x - 4y + 1 = 0 and whose radius is 5. (iii) Find the equation of the cricle concentric with x^(2) + y^(2) - 4x - 6y - 3 = 0 and which touches the y-axis. (iv) find the equation of a circle passing through the centre of the circle x^(2) + y^(2) + 8x + 10y - 7 = 0 and concentric with the circle 2x^(2) + 2y^(2) - 8x - 12y - 9 = 0 . (v) Find the equation of the circle concentric with the circle x^(2) + y^(2) + 4x - 8y - 6 = 0 and having radius double of its radius.

Number of common tangents to the circles C_(1):x ^(2) + y ^(2) - 6x - 4y -12=0 and C _(2) : x ^(2) + y ^(2) + 6x + 4y+ 4=0 is

Lengths of intercepts by circle x^(2) + y^(2) - 6x + 4y - 12 = 0 " on line " 4x - 3y + 2 = 0 is

Let the equation of circle is x^(2) + y^(2) - 6x - 4y + 9 = 0 . Then the line 4x + 3y - 8 = 0 is a

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS

If circles x^(2) + y^(2) = 9 " and " x^(2) + y^(2) + 2ax + 2y + 1 = ...
Text Solution
|
If lines 3x - 4y + 4 = 0 " and " 6x - 8y - 7 = 0 touch the same c...
Text Solution
|
If circles x^(2) + y^(2) - 3x + ky - 5 = 0 " and " 4x^(2) + 4y^(2) - ...
Text Solution
|
Centre of circle , passing through (0,0) ,(a,0) and (0,b) , is
Text Solution
|
If line 2x - y + k = 0 is a diameter of circle x^(2) + y^(2) + 6...
Text Solution
|
Determine equation of the circle whose diameter is the chord x + y = 1...
Text Solution
|
If (h,k) is the centre of a circle passing through the origin then its...
Text Solution
|
If circles (x -1)^(2) + y^(2) = a^(2) " and " (x + 2)^(2) + y^(2) = ...
Text Solution
|
The centre of circle inscribed in a square formed by lines x^2-8x+1...
Text Solution
|
The radius of the circle, having centre at (2, 1), whose one of the ch...
Text Solution
|
Find the equation of the circle which touches the circle x^(2) + y^(...
Text Solution
|
If circles x^(2) + y^(2) + 2g(1)x + 2f(1)y = 0 and x^(2) + y^(2) ...
Text Solution
|
The locus of the point whose co-ordinates are x = 3 cos theta + 2 ...
Text Solution
|
The radius of the circle t^(2) x^(2) + t^(2) y^(2) - 2at^(3) x - 2...
Text Solution
|
If the origin lies inside the circle x^(2) + y^(2) + 2gx + 2fy + c...
Text Solution
|
If the co-ordinates of a point P are x = at^(2), y = a sqrt(1 - t...
Text Solution
|
Equation of circle which passes through (-1,2) and (1,2) , and touc...
Text Solution
|
If a square is inscribed in the circle x^(2) + y^(2) + 2gx +2fy + c= ...
Text Solution
|
The equation x^(2) + y^(2) + 2gx + 2fy + c = 0 represents a circle o...
Text Solution
|
If r(1), r(2) " and " r(3) are the radii of the circle x^(2) + y^(2)...
Text Solution
|