मराठी

Find the Distance Between the Points A(1,-3) and B(4,-6) - Mathematics

Advertisements
Advertisements

प्रश्न

Find the distance between the points

A(1,-3) and B(4,-6)

Advertisements

उत्तर

A(1,-3) and B(4,-6)

The given points are A(1,-3) and B(4,-6 )

`Then (x_1 =1,y_1=-3) and (x_2 = 4, y_2=-6)`

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

`=sqrt((4-1)^2+{-6-(-3)}^2)`

`=sqrt((4-1)^2 + (-6+3)^2)`

`= sqrt((3)^2 +(-3)^2`

`= sqrt(9+9)`

`=sqrt(18)`

`=sqrt(9xx2)`

`=3 sqrt(2) ` units

 

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 16: Coordinate Geomentry - Exercises 1

APPEARS IN

आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 16 Coordinate Geomentry
Exercises 1 | Q 1.4

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Show that the points (a, a), (–a, –a) and (– √3 a, √3 a) are the vertices of an equilateral triangle. Also find its area.


Name the type of quadrilateral formed, if any, by the following point, and give reasons for your answer:

(4, 5), (7, 6), (4, 3), (1, 2)


Find a relation between x and y such that the point (x, y) is equidistant from the point (3, 6) and (−3, 4).


Find the value of a when the distance between the points (3, a) and (4, 1) is `sqrt10`


Show that the points A (1, −2), B (3, 6), C (5, 10) and D (3, 2) are the vertices of a parallelogram.


Find the distance between the points

P(a sin ∝,a cos ∝ )and Q( acos ∝ ,- asin ∝)

 


The long and short hands of a clock are 6 cm and 4 cm long respectively. Find the sum of the distances travelled by their tips in 24 hours. (Use π = 3.14) ?


Show that the points A(1, 2), B(1, 6), C(1 + 2`sqrt3`, 4) are vertices of an equilateral triangle.


Find the distances between the following point.

R(–3a, a), S(a, –2a)


Find the distance of the following point from the origin :

(6 , 8)


Prove that the following set of point is collinear :

(4, -5),(1 , 1),(-2 , 7)


Prove that the points (1 ,1),(-4 , 4) and (4 , 6) are the certices of an isosceles triangle.


Prove that the points (0 , -4) , (6 , 2) , (3 , 5) and (-3 , -1) are the vertices of a rectangle.


A circle drawn with origin as the centre passes through `(13/2, 0)`. The point which does not lie in the interior of the circle is ______.


A circle has its centre at the origin and a point P(5, 0) lies on it. The point Q(6, 8) lies outside the circle.


Find the value of a, if the distance between the points A(–3, –14) and B(a, –5) is 9 units.


Show that points A(–1, –1), B(0, 1), C(1, 3) are collinear.


The distance of the point (5, 0) from the origin is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×