English

Find the distance between the points ( − 8 5 , 2 ) and ( 2 5 , 2 ) . - Mathematics

Advertisements
Advertisements

Question

Find the distance between the points \[\left( - \frac{8}{5}, 2 \right)\]  and \[\left( \frac{2}{5}, 2 \right)\] . 

 
 
 
 
Short Note

Solution

We have to find the distance between `A ( - 8/5, 2)" and  "   B ( 2/5 , 2) `.

In general, the distance between A`(x_1, y_1) " and B "(x_2 , y_2) ` is given by,

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

So,

`AB = sqrt((2/5 + 8/5)^2 + (2-2)^2)`

     ` = sqrt(4) `

       =  2 

 

shaalaa.com
  Is there an error in this question or solution?
Chapter 6: Co-Ordinate Geometry - Exercise 6.6 [Page 62]

APPEARS IN

RD Sharma Mathematics [English] Class 10
Chapter 6 Co-Ordinate Geometry
Exercise 6.6 | Q 20 | Page 62

Video TutorialsVIEW ALL [2]

RELATED QUESTIONS

Which point on the y-axis is equidistant from (2, 3)  and (−4, 1)?


Find the value of k, if the point P (0, 2) is equidistant from (3, k) and (k, 5).


If the poin A(0,2)  is equidistant form the points B (3, p) and  C (p ,5) find the value of p. Also, find the length of AB.


If the point P (2,2)  is equidistant from the points A ( -2,K ) and B( -2K , -3) , find k. Also, find the length of AP.


In what ratio does y-axis divide the line segment joining the points (-4, 7) and (3, -7)?


If the vertices of ΔABC  be A(1, -3) B(4, p) and C(-9, 7) and its area is 15 square units, find the values of p


Find the point on x-axis which is equidistant from points A(-1,0) and B(5,0)


If the points  A(4,3)  and B( x,5) lie on the circle with center  O(2,3 ) find the value of x .


Find the coordinates of the points of trisection of the line segment joining the points (3, –2) and (–3, –4) ?


Point P(x, 4) lies on the line segment joining the points A(−5, 8) and B(4, −10). Find the ratio in which point P divides the line segment AB. Also find the value of x.


If A(3, y) is equidistant from points P(8, −3) and Q(7, 6), find the value of y and find the distance AQ. 


If the point  \[C \left( - 1, 2 \right)\] divides internally the line segment joining the points  A (2, 5)  and Bx) in the ratio 3 : 4 , find the value of x2 + y2 .

 

If the points A(−2, 1), B(a, b) and C(4, −1) ae collinear and a − b = 1, find the values of aand b.      


Write the formula for the area of the triangle having its vertices at (x1, y1), (x2, y2) and (x3, y3).


Write the condition of collinearity of points (x1, y1), (x2, y2) and (x3, y3).

 

Find the values of x for which the distance between the point P(2, −3), and Q (x, 5) is 10.

 

The distance of the point (4, 7) from the x-axis is


If (−2, 1) is the centroid of the triangle having its vertices at (x , 0) (5, −2),  (−8, y), then xy satisfy the relation


Assertion (A): The ratio in which the line segment joining (2, -3) and (5, 6) internally divided by x-axis is 1:2.

Reason (R): as formula for the internal division is `((mx_2 + nx_1)/(m + n) , (my_2 + ny_1)/(m + n))`


If the vertices of a parallelogram PQRS taken in order are P(3, 4), Q(–2, 3) and R(–3, –2), then the coordinates of its fourth vertex S are ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×