Question

The polar coordinates of the vertices of a triangle are $(0,0),(3,\frac{\pi }{2})$ and $(3,\frac{\pi }{6})$. Then the triangle is

• A. right angled
• B. isosceles
• C. equilateral
• D. none of these

Answer 1

Answer: (C)

equilateral

Polar coordinate are $(0,0),(3,\frac{\pi }{2})$ and $(3,\frac{\pi }{6})$ then

Cartesian coordinates are $(0,0),(3,0)$ and $(\frac{3\sqrt{3}}{2},\frac{3}{2})$

These coordinates represent an equilateral triangle