CircleHard
Question
The area of an equilateral triangle inscribed in the circle x2 + y2 - 2x = 0 is :
Options
A.
B.
C.
D.none
Solution
Coordinates of point P will be (acos30o, asin30o) P lies on the circle,
⇒ a2cos230o + a2sin230o
= 2acos30o
⇒ a2 = 2acos30o
⇒ a = √3
Area =

⇒ a2cos230o + a2sin230o
= 2acos30o
⇒ a2 = 2acos30o
⇒ a = √3
Area =

Create a free account to view solution
View Solution FreeMore Circle Questions
Centre of a circle is (2, 3). If the line x + y = 1 touches it. Find the equation of circle-...x2 + y2 + 6x = 0 and x2 + y2 - 2x = 0 are two circles, then -...If a circle passes through the point (1, 2) and cuts the circle x2 + y2 = 4 orthogonally, then the equation of the locus...If a circle of constant radius 3k passes through the origin ′O′ and meets co-ordinate axes at A and B then t...The parametric coordinates of any point on the circle x2 + y2 - 4x - 4y = 0 are -...