मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Find distance of point A(6, 8) from origin - Geometry Mathematics 2

Advertisements
Advertisements

प्रश्न

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

बेरीज

उत्तर

Let A(x1, y1) = A(6, 8), O(x2, y2) = O(0, 0)

∴ x1 = 6, y1 = 8, x2 = 0, y2 = 0

By distance formula,

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

= `sqrt((0 - 6)^2 + (0 - 8)^2`

= `sqrt(36 + 64)`

= `sqrt(100)`

= 10 cm

∴ The distance of point A(6, 8) from origin is 10 cm.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Co-ordinate Geometry - Q.1 (B)

संबंधित प्रश्‍न

If P and Q are two points whose coordinates are (at2 ,2at) and (a/t2 , 2a/t) respectively and S is the point (a, 0). Show that `\frac{1}{SP}+\frac{1}{SQ}` is independent of t.


Find the distance between the following pairs of points:

(a, b), (−a, −b)


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 distance between the points

(ii) A(7,-4)and B(-5,1)


Find the distance between the points

P(a + b,a - b)andQ(a -b,a + b)


Find the distance of the following points from the origin:

(i) A(5,- 12)


If the point A(x,2) is equidistant form the points B(8,-2) and C(2,-2) , find the value of x. Also, find the value of x . Also, find the length of AB.


Using the distance formula, show that the given points are collinear:

(-2, 5), (0,1) and (2, -3)


Find the distances between the following point.

P(–6, –3), Q(–1, 9) 


Find the distance between the following point :

(Sin θ - cosec θ , cos θ - cot θ) and (cos θ - cosec θ , -sin θ - cot θ)


Prove that the following set of point is collinear :

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


P(5 , -8) , Q (2 , -9) and R(2 , 1) are the vertices of a triangle. Find tyhe circumcentre and the circumradius of the triangle.


x (1,2),Y (3, -4) and z (5,-6) are the vertices of a triangle . Find the circumcentre and the circumradius of the triangle.


Find the coordinates of the points on the y-axis, which are at a distance of 10 units from the point (-8, 4).


A point P lies on the x-axis and another point Q lies on the y-axis.
Write the abscissa of point Q.


Show that the points A (5, 6), B (1, 5), C (2, 1) and D (6, 2) are the vertices of a square ABCD.


The length of line PQ is 10 units and the co-ordinates of P are (2, -3); calculate the co-ordinates of point Q, if its abscissa is 10.


The distance between the points (0, 5) and (–5, 0) is ______.


Find the distance between the points O(0, 0) and P(3, 4).


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×