CircleHard
Question
Let PQ and RS be tangents at the extremities of the diameter PR of a circle of radius r, If PS and RQ intersect at a point x on the circumference of the circle, then 2r equals
Options
A.

B.

C.

D.

Solution

From figure it is clear that ᐃPRQ and ᐃRSP are similar.
∴

⇒ PR2 = PQ.RS
⇒

⇒

Create a free account to view solution
View Solution FreeMore Circle Questions
The equation of the circle which touches both the axes and the line + = 1 and lies in the first quadrant is (x _ c)2 + (...The lines 12 x − 5y − 17 = 0 and 24 x − 10 y + 44 = 0 are tangents to the same circle. Then the radius...If a circle of constant radius 3k passes through the origin ′O′ and meets co-ordinate axes at A and B then t...The intercepts made by the circle x2 + y2 _ 5x _ 13y _ 14 = 0 on the x-axis and y-axis are respectively...Find the co-ordinates of a point p on line x + y = _ 13, nearest to the circle x2 + y2 + 4x + 6y _ 5 = 0...