The centre of the circle passing through 0 0
Asked by admin @ in Math viewed by 250 People
The centre of circle passing through the points (0,0) and (1,0) and touching the circle x^2+y^2=9 is
Answered by admin @
Let the equation of circle is
x² + y² + 2gx + 2fy + c = 0
centre = (-g,-f)
radius = √(g²+f²-c)
it passes through (0,0)&(1,0) so point satisfy the equation
put (0,0)
c = 0
put (1,0)
g = -1/2
since the circle touches internally hence
distance between centre = difference of radius
centre of given circle = (0,0)
radius = 3
√(g² + f²) = 3 - √(g²+f²-c)
√(1/4 + f²) = 3 - √(1/4 + f²)
√(1/4 + f²) = 3/2
1/4 + f² = 9/4
f² = 2
f = √2 or -√2
hence centre = (1/2,√2) or (1/2,-√2)
Similar Questions
Find the centre of the circle passing through
Asked by admin @ in Math viewed by 288 persons
find the centre of a circle passing through the points (3,-7),(3,3),(6,-6). want the answer for 4 marks
O is the centre of circle of radius 5cm
Asked by admin @ in Math viewed by 283 persons
In figure O is the centre of a circle of radius 5 cm.T is a point such that OT=13CM and OT intersects the circle at E.if AB is the tangent …
If o is the centre of circle find x
Asked by admin @ in Math viewed by 349 persons
If O is the centre of the circle, find the value of x in each of the following figures :
The centre of those circles which touch the circle
Asked by admin @ in Math viewed by 258 persons
The centres of those circles which touch the circle externally and also touch the x-axis lie on
The locus of centre of circle which touches externally
Asked by admin @ in Math viewed by 316 persons
the locus of the center of a circle which touches externally the circle x^2+y^2-6x-6y+14=0 and also touches the y-axis is given by the equation
How to draw tangent to a circle without using centre
Asked by admin @ in Math viewed by 345 persons
How to draw tangents to a circle without using the center?
O is the centre of the circle of radius 5cm
Asked by admin @ in Math viewed by 276 persons
In figure O is the centre of a circle of radius 5 cm.T is a point such that OT=13CM and OT intersects the circle at E.if AB is the tangent …
A chord that passes through the center of the circle
Asked by admin @ in Math viewed by 312 persons
Chord that passes through the center of a circle is called a
A chord that passes through the center of a circle
Asked by admin @ in Math viewed by 263 persons
Chord that passes through the center of a circle is called a
Equal chords of a circle are equidistant from centre
Asked by admin @ in Math viewed by 283 persons
Proof that equal chords are equidistant from the centre
Ab is a chord of circle with centre o
Asked by admin @ in Math viewed by 290 persons
AB is a chord of a circle with centre O. At B, a tangent PB is drawn such that its length is 24cm. The distance of P from centre is …
What is the general form of the equation for the given circle centered at o(0, 0)?.
Asked by maham237 @ in Mathematics viewed by 464 persons
What is the general form of the equation for the given circle centered at O(0, 0)?
a) x2 + y2 + 41 = 0
b) x2 + y2 − 41 …
What is the general form of the equation for the given circle centered at o(0, 0)?
Asked by maham237 @ in Mathematics viewed by 367 persons
What is the general form of the equation for the given circle centered at O(0, 0)?
a) x2 + y2 + 41 = 0
b) x2 + y2 − 41 …
A circle touching the x axis at 3 0
Asked by admin @ in Math viewed by 300 persons
A circle touching the x-axis at (3, 0) and making an intercept of length 8 on the y-axis passes through the point :
(A) (3, 5) (B) (1, 5)
(C) …
How many circles can pass through 3 noncollinear points
Asked by admin @ in Math viewed by 310 persons
There are three non-collinear points. How many circles can be drawn passing through them?
Most viewed questions in Math
Prachi excellence in mathematics class 7 solutions pdf free download
Asked by admin @ in Math viewed by 11992 persons
Survey of various types of bank accounts icse project
Asked by admin @ in Math viewed by 11496 persons
Oxford new enjoying mathematics class 7 solutions chapter 1
Asked by admin @ in Math viewed by 11491 persons
Rahul went to his mother's mother in law
Asked by admin @ in Math viewed by 4170 persons