Subscribe to our YouTube channel for the latest videos, updates, and tips.
Worksheet on Distance Between the Polar Co-ordinates
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.
Answers:
1. (i) 7 units.
(ii) 2a units.
● Co-ordinate Geometry
- What is Co-ordinate Geometry?
- Rectangular Cartesian Co-ordinates
- Polar Co-ordinates
- Relation between Cartesian and Polar Co-Ordinates
- Distance between Two given Points
- Distance between Two Points in Polar Co-ordinates
- Division of Line Segment: Internal & External
- Area of the Triangle Formed by Three co-ordinate Points
- Condition of Collinearity of Three Points
- Medians of a Triangle are Concurrent
- Apollonius' Theorem
- Quadrilateral form a Parallelogram
- Problems on Distance Between Two Points
- Area of a Triangle Given 3 Points
- Worksheet on Quadrants
- Worksheet on Rectangular – Polar Conversion
- Worksheet on Line-Segment Joining the Points
- Worksheet on Distance Between Two Points
- Worksheet on Distance Between the Polar Co-ordinates
- Worksheet on Finding Mid-Point
- Worksheet on Division of Line-Segment
- Worksheet on Centroid of a Triangle
- Worksheet on Area of Co-ordinate Triangle
- Worksheet on Collinear Triangle
- Worksheet on Area of Polygon
- Worksheet on Cartesian Triangle
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.
Recent Articles
-
Calculating Profit Percent and Loss Percent | Profit and Loss Formulas
Jun 12, 25 12:48 PM
In calculating profit percent and loss percent we will learn about the basic concepts of profit and loss. We will recall facts and formula while calculating profit percent and loss percent. Now we wil -
Word Problems on Profit and Loss Worksheet |Cost Price |Selling Price
Jun 11, 25 04:26 PM
In word problems on profit and loss worksheet you will get different types of problems on cost price and selling price, profit and loss, calculating profit o loss, calculating selling price and cost p… -
Round off to Nearest 1000 |Rounding Numbers to Nearest Thousand| Rules
Jun 11, 25 03:12 PM
Round off to nearest 1000 is discussed here. While rounding off to the nearest 1000, if the digit in the hundreds place is between 0 – 4 i.e., < 5, then the hundreds place is replaced by ‘0’. If the d… -
Round off to Nearest 100 | Rounding Numbers To Nearest Hundred | Rules
Jun 11, 25 03:13 AM
While rounding off to the nearest hundred, if the digit in the tens place is between 0 – 4 i.e. < 5, then the tens place is replaced by ‘0’. If the digit in the units place is equal to or >5, then the… -
Round off to Nearest 10 |How To Round off to Nearest 10?|Rounding Rule
Jun 10, 25 05:36 PM
Round off to nearest 10 is discussed here. Rounding can be done for every place-value of number. To round off a number to the nearest tens, we round off to the nearest multiple of ten. A large number…
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.