मराठी

Find the Distance Between the Following Pair of Points: (-6, 7) and (-1, -5) - Mathematics

Advertisements
Advertisements

प्रश्न

Find the distance between the following pair of points:

(-6, 7) and (-1, -5)

उत्तर

The distance d between two points (x1, y1) and (x2, y2) is given by the formula.

`d = sqrt((x_1 - x_2)^2 + (y_1 - y_2)^2)`

The two given points are (-6, 7) and (-1, -5)

The distance between these two points is 

`d = sqrt((-6 + 1)^2 + (7 +5)^2)`

`= sqrt((-5)^2 + (12)^2)`

`= sqrt(25 + 144)`

`= sqrt(169)`

= d = 13

Hence the distance is 13 units

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Co-Ordinate Geometry - Exercise 6.2 [पृष्ठ १५]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
पाठ 6 Co-Ordinate Geometry
Exercise 6.2 | Q 1.1 | पृष्ठ १५

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Find the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns A and B discussed in Section 7.2.


Find the values of x, y if the distances of the point (x, y) from (-3, 0)  as well as from (3, 0) are 4.


Find the distances between the following point.

R(–3a, a), S(a, –2a)


Show that the ▢PQRS formed by P(2, 1), Q(–1, 3), R(–5, –3) and S(–2, –5) is a rectangle.


ABCD is a square . If the coordinates of A and C are (5 , 4) and (-1 , 6) ; find the coordinates of B and D.


From the given number line, find d(A, B):


Use distance formula to show that the points A(-1, 2), B(2, 5) and C(-5, -2) are collinear.


Find distance CD where C(– 3a, a), D(a, – 2a)


AOBC is a rectangle whose three vertices are A(0, 3), O(0, 0) and B(5, 0). The length of its diagonal is ______.


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×