
Q Answer the questions on the basis of the information given below.
Taking origin of the X – Y plane as the centre, n concentric circles C1, C2, C3........, Cn are drawn with radii r = 1, 2 … n respectively. An insect starts moving from the point (1, 0) in the following pattern:
If n is odd: It crawls n degrees in the anticlock wise direction along the circumference of the circle Cn. From that point, it moves from circle Cn to the circle Cn+1 along the shortest linear path.
If n is even: It crawls n degrees in the clockwise direction along the circumference of the circle Cn.
From that point, it moves from Cn to the circle Cn+1 along the shortest possible path.
Find the value of n for which, the insect would cross OR touch the Y axis for the first time.
a. 89
b. 90
c. 179
d. 180
e. None of these 