Two parallel chords of a circle of radius 2 are at a distance 3 + 1 apart. If the chords subtend at the center, angles of k and 2 k , where k > 0, then the value of [k] is [Note : [k] denotes the largest integer less than or equal to k]

JEE Advanced 2010 Mathematics question

Two parallel chords of a circle of radius 2 are at a distance apart. If the chords subtend at the center, angles of and , where , then the value of is [Note : [k] denotes the largest integer less than or equal to k]

Answer: 3

Solution

A chord subtending angle at the centre is at distance from the centre (radius 2). So the distances of the chords are and . Let . Case 1, chords on opposite sides of the centre: \cos\cos\sqrt$3 + 1 ⇒

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-025843