CircleMedium
Question
Inside the unit circle S = {(x, y)| x2 + y2 = 1} there are three smaller circles of equal radius a, tangent to each other and to S. The value of ′a′ equals -
Options
A.√2(√2 - 1)
B.√3(2 - √3)
C.√2(2 - √3)
D.√3(√3 - 1)
Solution
We have cos 30o
⇒
⇒ 2a = √3 - √3 ⇒ (2 + √3a = √3
a =
= √3(2 - √3)
⇒
⇒ 2a = √3 - √3 ⇒ (2 + √3a = √3
a =
= √3(2 - √3)Create a free account to view solution
View Solution FreeMore Circle Questions
Let the circle $x^{2} + y^{2} = 4$ intersect $x$-axis at the points $A(a,0),a > 0$ and $B(b,0)$. Let $P(2cos\alpha$, ...Point $M$ moved on the circle $(x - 4)^{2} + (y - 8)^{2} = 20$. Then it broke away from it and moving along a tangent to...The equations of the tangents drawn from the point (0, 1) to the circle x2 + y2 − 2x + 4y = 0 are-...Equation of circle touching the lines |x| + |y| = 4 is -...The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle of area 154 sq. units. The equation of the circle is -...