In math worksheet on distance between the polar co-ordinates, we will solve different types of questions.
Recall the formula for the length of the line-segment joining the points:
(r₁, θ ₁) and (r₂, θ₂) is √[r₁² + r₂ ² - 2r₁ r₂ cos(θ₂ - θ₁)].
Review more about the distance between the two points in the polar co-ordinates and the different types of examples Click Here.
Using the above formula to solve the below questions given in the worksheet on distance between the polar co-ordinates.
1. Find the length of the line-segment joining the points :
(i) (8, π/3) and (3, π/6)
(ii) (-a√3, -30°) and (–a, 60°).
2. Show that the points having polar co-ordinates (0, 0), (3, π/2),(3, π/6) are the vertices of an equilateral triangle.
3. Prove that the points (3, π/2), (√3, 0) and (3, 5π/6) form a right-angled triangle.
Answers for the worksheet on distance between the polar co-ordinates are given below to check the exact answers of the above questions.
1. (i) 7 units.
(ii) 2a units.
● Co-ordinate Geometry
11 and 12 Grade Math
From Worksheet on Distance Between the Polar Co-ordinates to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
New! CommentsHave your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.