CircleEasy
Question
If the incentre of an equilateral triangle is (1, 1) and the equation of its one side is 3x + 4y + 3 = 0, then the
equation of the circumcircle of this triangle is :
equation of the circumcircle of this triangle is :
Options
A.x2 + y2 − 2x − 2y − 14 = 0
B.x2 + y2 − 2x − 2y − 2 = 0
C.x2 + y2 − 2x − 2y + 2 = 0
D.x2 + y2 − 2x − 2y − 7 = 0
Solution
Let radius is r
⇒
⇒ r = 4
So circle is
(x - 1)2 + (y - 1)2 = 16
⇒ x2 + y2 - 2x - 2y - 14 = 0
⇒
⇒ r = 4So circle is
(x - 1)2 + (y - 1)2 = 16
⇒ x2 + y2 - 2x - 2y - 14 = 0
Create a free account to view solution
View Solution FreeMore Circle Questions
B and C are fixed points having co-ordinates (3, 0) and (-3, 0) respectively. If the vertical angle ᐃBAC is 90o th...The equation of the chord of contact of the circle x2 + y2 + 4x + 6y − 12 = 0 with respect to the point (2, −...Let P and Q be distinct points on the parabola y2 = 2x such that a circle with PQ as diameter passesthrough the vertex O...The length of the tangent drawn from any point on the circle x2 + y2 + 2gx + 2fy + α = 0 to the circle x2 + y2 + 2g...Find the locus of mid point of chords of circle x2 + y2 = 25 which subtends right angle at origin-...