The centre of the circle r^(2) - 4r (cos...

The centre of the circle `r^(2) - 4r (cos theta + sin theta) - 4 = 0` in cartesian coordinates is

A

(1, 1)

B

(-1, -1)

C

(2, 2)

D

(-2, -2)

Text Solution

Verified by Experts

The correct Answer is:

C

Topper's Solved these Questions

BINOMIAL THEOREM AND PARTIAL FRACTIONS
SIA PUBLICATION|Exercise Problems|48 Videos
COMPLEX NUMBERS AND DE MOIVRE'S THEOREM
SIA PUBLICATION|Exercise Problems|34 Videos

Similar Questions

Explore conceptually related problems

The radius of the circle r = 12 cos theta + 5 sin theta is

The radius of the circle r = sqrt(3) sin theta + cos theta is

4 sin 5 theta cos 3 theta sin 2 theta

If cos^(2)theta - sin theta = 1//4 then theta =

cos theta - 4 sin theta = 1 implies sin theta + 4 cos theta =

If cos 4 theta+sin 5 theta=2 then theta=

The locus of the point of intersection of the tangents to the circle x=r cos theta, y=r sin theta at points whose parametric angles differ by pi//3 is

2(1-2sin^(2) theta ) cos 4 theta =

SIA PUBLICATION-CIRCLE-PROBLEMS

Find the length of the tangent form (1,3) to the circle x^(2) + y^(2...
Text Solution
|
If x - y + 1 = 0 meets the circle x^(2) + y^(2) + y - 1 = 0 at A a...
Text Solution
|
If y=3x is a tangent to a circle with centre (1,1) then the other tang...
Text Solution
|
Which of the following equation gives a circle ?
Text Solution
|
If P(1), P(2), P(3) are the perimeters of the three circles x^(2) + y^...
Text Solution
|
The centre of the circle r^(2) - 4r (cos theta + sin theta) - 4 = 0 in...
Text Solution
|
The radius of the circle r = sqrt(3) sin theta + cos theta is
Text Solution
|
The number of circles that touches all the three lines x+y-1=0, x-y-1=...
Text Solution
|
If the line 3x-2y + 6=0 meets X-axis and Y-axis respectively at A and ...
Text Solution
|
A line l meets the circle x^(2) + y^(2) = 61 in A , B and P(-5,6) i...
Text Solution
|
If (1, a), (b, 2) are conjugate points with renpcet to the circle x^(2...
Text Solution
|
If P is a point such that the ratio of the square of the lengths of th...
Text Solution
|
If 5x - 12y + 10 = 0 and 12y - 5x + 16 = 0 are two tangents to a circl...
Text Solution
|
The equation of the circle of radius 5 and touching the coordinate axe...
Text Solution
|
The radius of the larger circle lying in the first quadrant and touchi...
Text Solution
|
The four distinct points (0, 0), (2, 0), (0, -2) and (k, -2) are concy...
Text Solution
|
A line is at a constant distance c from the origin and meets the coord...
Text Solution
|
The line y = mx + c intercepts the circle x^(2) + y^(2) = r^(2) in two...
Text Solution
|
The equation of the normal to the circle x^(2)+y^(2)+6x+4y-3=0 at (1,-...
Text Solution
|
The number of circles that touch all the straight lines x + y = 4, x -...
Text Solution
|