हिंदी

Find distance between point A(– 3, 4) and origin O - Geometry Mathematics 2

Advertisements
Advertisements

प्रश्न

Find distance between point A(– 3, 4) and origin O

विकल्प

  • 7 cm

  • 10 cm

  • 5 cm

  • – 5cm

MCQ
Advertisements

उत्तर

5 cm

Let A(x1, y1) = A( -3, 4) and O(x2, y2) = O(0, 0)

Here, x1 = -3, y1 = 4, x2 = 0, y2 = 0

By distance formula,

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

∴ d(A, O) = `sqrt([0 - (-3)]^2 + (0- 4)^2)`

∴ d(A, O) = `sqrt(9 + 16)`

∴ d(A, O) = `sqrt(25)`

∴ d(A, O) = 5 cm

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Co-ordinate Geometry - Q.1 (A)

संबंधित प्रश्न

If the opposite vertices of a square are (1, – 1) and (3, 4), find the coordinates of the remaining angular points.


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 point on the x-axis which is equidistant from (2, -5) and (-2, 9).


ABC is a triangle and G(4, 3) is the centroid of the triangle. If A = (1, 3), B = (4, b) and C = (a, 1), find ‘a’ and ‘b’. Find the length of side BC.


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


If A (-1, 3), B (1, -1) and C (5, 1) are the vertices of a triangle ABC, find the length of the median through A.


Find the co-ordinates of points of trisection of the line segment joining the point (6, –9) and the origin.


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

 (1, -1), (5, 2) and (9, 5)


Find the distance of the following point from the origin :

(13 , 0)


P and Q are two points lying on the x - axis and the y-axis respectively . Find the coordinates of P and Q if the difference between the abscissa of P and the ordinates of Q is 1 and PQ is 5 units.


Find the distance between the origin and the point:
(-8, 6) 


What point on the x-axis is equidistant from the points (7, 6) and (-3, 4)?


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


Calculate the distance between the points P (2, 2) and Q (5, 4) correct to three significant figures.


Find the distance of the following points from origin.
(5, 6) 


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


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


Ayush starts walking from his house to office. Instead of going to the office directly, he goes to a bank first, from there to his daughter’s school and then reaches the office. What is the extra distance travelled by Ayush in reaching his office? (Assume that all distances covered are in straight lines). If the house is situated at (2, 4), bank at (5, 8), school at (13, 14) and office at (13, 26) and coordinates are in km.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×