Find the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns A and B ?
Solution and Explanation
Distance between points (0, 0) and (36, 15).
\(=\sqrt{(36-0)^2+(15-0)^2}=\sqrt{36^2+15^2}\)
\(=\sqrt{1296+225}=\sqrt{1521}=39\)
Yes, we can find the distance between the given towns A and B.
Assume town A at the origin point (0, 0).
Therefore, town B will be at point (36, 15) with respect to town A.
Hence, as calculated above, the distance between towns A and B will be 39 km.
Top Questions on Coordinate Geometry
- The distance of the point A($-3$, $-4$) from x-axis is
- CBSE Class X - 2025
- Mathematics
- Coordinate Geometry
- The distance of point \((a, -b)\) from the \(x\)-axis is
- CBSE Class X - 2025
- Mathematics
- Coordinate Geometry
Given $\triangle ABC \sim \triangle PQR$, $\angle A = 30^\circ$ and $\angle Q = 90^\circ$. The value of $(\angle R + \angle B)$ is
- CBSE Class X - 2025
- Mathematics
- Coordinate Geometry
- The point \((3, -5)\) lies on the line \(mx - y = 11\). The value of \(m\) is
- CBSE Class X - 2025
- Mathematics
- Coordinate Geometry
- The line \(2x - 3y = 6\) intersects x-axis at
- CBSE Class X - 2025
- Mathematics
- Coordinate Geometry
Questions Asked in CBSE X exam
Leaves of the sensitive plant move very quickly in response to ‘touch’. How is this stimulus of touch communicated and explain how the movement takes place?
- CBSE Class X - 2025
- Plant Biology
- Rama is a farmer. She needs loan for agriculture work. Which of the following sources of loan will be beneficial for Rama? Choose the most appropriate option:
I. Bank
II. Agricultural Trader
III. Self-Help Group
IV. Government- CBSE Class X - 2025
- Money and Credit
Read the following sources of loan carefully and choose the correct option related to formal sources of credit:
(i) Commercial Bank
(ii) Landlords
(iii) Government
(iv) Money Lende- CBSE Class X - 2025
- Money and Credit
- Two statements are given below. They are Assertion (A) and Reason (R). Read both the statements carefully and choose the correct option. Assertion (A): Rupees is accepted as medium of exchange in India.
Reason (R): The World Bank legalises the use of rupee as a medium of payment in India.- CBSE Class X - 2025
- Money and Credit
- Rama is a farmer. She needs loan for agriculture work. Which of the following sources of loan will be beneficial for Rama? Choose the most appropriate option. I. Bank
II. Agricultural Trader
III. Self-Help Group
IV. Government- CBSE Class X - 2025
- Money and Credit
Concepts Used:
Coordinate Geometry
The central idea in coordinate geometry is to assign numerical coordinates to points in a plane or space, which allows us to describe their positions and relationships using algebraic equations. The most common coordinate system is the Cartesian coordinate system, named after the French mathematician and philosopher René Descartes.