Advertisements
Advertisements
प्रश्न
Find distance of point A(6, 8) from origin.
Advertisements
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
∴ The distance of point A(6, 8) from origin is 10 units.
APPEARS IN
संबंधित प्रश्न
If Q (0, 1) is equidistant from P (5, –3) and R (x, 6), find the values of x. Also, find the distances QR and PR.
Given a line segment AB joining the points A(–4, 6) and B(8, –3). Find
1) The ratio in which AB is divided by y-axis.
2) Find the coordinates of the point of intersection.
3) The length of AB.
Find the distance between the points `A((-8)/5, 2)` and `B(2/5, 2)`.
Find the distances between the following point.
P(–6, –3), Q(–1, 9)
If the point P(2, 1) lies on the line segment joining points A(4, 2) and B(8, 4), then ______.
Find the distance between the following pair of point in the coordinate plane.
(1 , 3) and (3 , 9)
Find the distance of the following point from the origin :
(13 , 0)
A line segment of length 10 units has one end at A (-4 , 3). If the ordinate of te othyer end B is 9 , find the abscissa of this end.
Prove that the points (1 , 1) , (-1 , -1) and (`- sqrt 3 , sqrt 3`) are the vertices of an equilateral triangle.
Prove that the points (4 , 6) , (- 1 , 5) , (- 2, 0) and (3 , 1) are the vertices of a rhombus.
Find the distance between the following pair of points:
`(sqrt(3)+1,1)` and `(0, sqrt(3))`
A point P lies on the x-axis and another point Q lies on the y-axis.
Write the ordinate of point P.
A point P lies on the x-axis and another point Q lies on the y-axis.
Write the abscissa of point Q.
Point P (2, -7) is the center of a circle with radius 13 unit, PT is perpendicular to chord AB and T = (-2, -4); calculate the length of: AT
Calculate the distance between A (7, 3) and B on the x-axis, whose abscissa is 11.
If the length of the segment joining point L(x, 7) and point M(1, 15) is 10 cm, then the value of x is ______.
Find the value of a, if the distance between the points A(–3, –14) and B(a, –5) is 9 units.
Find a point which is equidistant from the points A(–5, 4) and B(–1, 6)? How many such points are there?
The points A(–1, –2), B(4, 3), C(2, 5) and D(–3, 0) in that order form a rectangle.
