हिंदी

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

Advertisements
Advertisements

प्रश्न

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

योग
Advertisements

उत्तर

O(0, 0), P(3, 4)

∴   `(x_1, y_1) = (0, 0)`
     `(x_2, y_2) = (3, 4)`

∴ `x_1=0, y_1= 0`
   `x_2 = 3, y_2 = 4`

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

= `sqrt((3 - 0)^2 + (4 - 0)^2`

= `sqrt((3)^2 + (4)^2)`

= `sqrt(9 + 16)`

= `sqrt(25)`

d(OP) = 5 units

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2022-2023 (March) Official

संबंधित प्रश्न

Find the value of x, if the distance between the points (x, – 1) and (3, 2) is 5.


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

 (−3, 5), (3, 1), (0, 3), (−1, −4)


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


The value of 'a' for which of the following points A(a, 3), B (2, 1) and C(5, a) a collinear. Hence find the equation of the line.


If the points (2, 1) and (1, -2) are equidistant from the point (xy), show that x + 3y = 0.


Find the centre of the circle passing through (6, -6), (3, -7) and (3, 3)


If P(x, y) is equidistant from the points A(7, 1) and B(3, 5), find the relation between x and y.


Find the distance between the following pair of points.

L(5, –8), M(–7, –3)


Find the distance between the following pair of point.

T(–3, 6), R(9, –10)


Find the distance between the following point :

(sec θ , tan θ) and (- tan θ , sec θ)


Find the distance of a point (12 , 5) from another point on the line x = 0 whose ordinate is 9.


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.


Find the distance between the origin and the point:
(8, −15)


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


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.


Show that A(1, 2), (1, 6), C(1 + 2`sqrt(3)`, 4) are vertices of an equilateral triangle.


The distance of the point (α, β) from the origin is ______.


The equation of the perpendicular bisector of line segment joining points A(4,5) and B(-2,3) is ______.


If (– 4, 3) and (4, 3) are two vertices of an equilateral triangle, find the coordinates of the third vertex, given that the origin lies in the interior of the triangle.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×