मराठी

Find the Distance of the Following Points from Origin. (5, 6) - Mathematics

Advertisements
Advertisements

प्रश्न

Find the distance of the following points from origin.
(5, 6) 

बेरीज

उत्तर

Let O(0, 0) be the origin.
Distance between
O(0 , 0) & P(5 , 6)
OP = `sqrt((5 - 0)^2 + (6 - 0)^2)`
= `sqrt(25 + 36)`
= `sqrt(61)"units".`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 11: Coordinate Geometry - Formulae Based Questions

APPEARS IN

आईसीएसई Mathematics [English] Class 10
पाठ 11 Coordinate Geometry
Formulae Based Questions | Q 1.1

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

If the distances of P(x, y) from A(5, 1) and B(–1, 5) are equal, then prove that 3x = 2y


Find the distance of a point P(xy) from the origin.


Find the distance between the following pairs of point in the coordinate plane :

(7 , -7) and (2 , 5)


Find the distance between the following pairs of point in the coordinate plane :

(13 , 7) and (4 , -5)


Find the value of m if the distance between the points (m , -4) and (3 , 2) is 3`sqrt 5` units.


Show that the points (2, 0), (–2, 0), and (0, 2) are the vertices of a triangle. Also, a state with the reason for the type of triangle.


Find the distance between the origin and the point:
(-8, 6) 


Find distance of point A(6, 8) from origin


Show that the point (0, 9) is equidistant from the points (– 4, 1) and (4, 1)


In a GPS, The lines that run east-west are known as lines of latitude, and the lines running north-south are known as lines of longitude. The latitude and the longitude of a place are its coordinates and the distance formula is used to find the distance between two places. The distance between two parallel lines is approximately 150 km. A family from Uttar Pradesh planned a round trip from Lucknow (L) to Puri (P) via Bhuj (B) and Nashik (N) as shown in the given figure below.

Based on the above information answer the following questions using the coordinate geometry.

  1. Find the distance between Lucknow (L) to Bhuj (B).
  2. If Kota (K), internally divide the line segment joining Lucknow (L) to Bhuj (B) into 3 : 2 then find the coordinate of Kota (K).
  3. Name the type of triangle formed by the places Lucknow (L), Nashik (N) and Puri (P)
    [OR]
    Find a place (point) on the longitude (y-axis) which is equidistant from the points Lucknow (L) and Puri (P).

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×