Question

The distance of the point
(b cos theta,b sin theta)
from origin is

Answer 1

Answer:

By distance formula

2a cos Q

Answer 2

→Question: The distance of the point  (b cos theta,b sin theta)  from origin is:

→Answer: To find distance, we use the distance formula:

⇒Distance formula: √(x2 - x1)² - (y2 - y1)²

⇒Where:

• x2 = bcosθ
• x1  = 0
• y2 = bsinθ
• y1  = 0

⇒Now:

• √(bcosθ - 0)² + (bsinθ - 0)²
• √b²cos²θ + b²sin²θ
• √b²(cos²θ + sin²θ)
• b√1
• b

⇒ x and y coordinates:

⇒        (0,0)   A______________________________B (bcosθ,bsinθ)

∴The distance between the point bcosθ , bsinθ from the origin is b.