Mathematics · 2013
JEE Main · 25 April 2013, Shift 1 · Q63
If a circle of unit radius is divided into two parts by an arc of another circle subtending an angle 60° on the circumference of the first circle,…
If a circle of unit radius is divided into two parts by an arc of another circle subtending an angle $\displaystyle 60$° on the circumference of the first circle, then the radius of the arc is :
Official answer
(1)
$\displaystyle \sqrt{3}$
More from Circle
- A circle passing through the point P(α, β) in the first quadrant touches the two coordinate axes at the points A and B. The point P is above the line…2023
- A line drawn through the point P(4, 7) cuts the circle x^2+y^2=9 at the points A and B. Then PA•PB is equal to:2017
- If the circles x^2+y^2+6 x+8 y+16=0 and x^2+y^2+2(3-√3) x+2(4-√6) y=k+6 √3+8 √6, k>0, touch internally at the point P(α, β), then (α+√3)^2+(β+√6)^2…2022
- Consider the circle C: x^2+y^2-6 x-8 y-11=0. Let a variable chord AB of the circle C subtend a right angle at the origin. If the locus of the foot of…2026
- 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(2 cos α, 2 sin α), 0<α<(π)/2 and Q(2 cos β, 2 sin β) be two…2026
- Let the tangents at two points A and B on the circle x^2+y^2-4 x+3=0 meet at origin O(0,0). Then the area of the triangle OAB is:2022
- The set of values of k, for which the circle C: 4 x^2+4 y^2-12 x+8 y+k=0 lies inside the fourth quadrant and the point (1,-1/3) lies on or inside the…2022
- Two circles with equal radii are intersecting at the points (0,1) and (0, -1). The tangent at the point (0,1) to one of the circles passes through…2019
JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.