Question

The arrangement of the following points in the ascending order of their distances from the pole is
A) $(5,\frac{\pi }{6})$
B) $(4,\frac{\pi }{5})$
C)$(2,\frac{\pi }{12})$
D)$(3,\frac{\pi }{3})$

• A. A, B, C, D
• B. D, C, B, A
• C. A, B, D, C
• D. C, D, B, A

Answer 1

The correct option is D C, D, B, A

In polar coordinate the points are represented as $(r,\theta )$; here $r$ is the distance of point from pole or origin so the ascending order of distance from pole is,

let $r_i$ distances from the pole
A) $(5,\frac{\pi }{6})$
$r_1=5$
B) $(4,\frac{\pi }{5})$
$r_2=4$
C)$(2,\frac{\pi }{12})$
$r_3=2$
D)$(3,\frac{\pi }{3})$
$r_4=3$
Ans: D