Advertisements
Advertisements
प्रश्न
Find the distance of a point P(x, y) from the origin.
उत्तर १
Using distance formula
`l(OP) = sqrt((x-0)^2 + (y - 0)^2)`
`l(OP) = sqrt(x^2 -y^2)`
उत्तर २
The given point is P(x, y).
The origin is O(0,0)
`PO = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2) = sqrt((x-0)^2 + (y-0)^2) = sqrt(x^2 + y^2)`
Thus, the distance of point P from the origin is PO = `sqrt(x^2 + y^2)` units
APPEARS IN
संबंधित प्रश्न
Find the distance between the following pair of points:
(-6, 7) and (-1, -5)
Find the value of a when the distance between the points (3, a) and (4, 1) is `sqrt10`
A(–8, 0), B(0, 16) and C(0, 0) are the vertices of a triangle ABC. Point P lies on AB and Q lies on AC such that AP : PB = 3 : 5 and AQ : QC = 3 : 5. Show that : PQ = `3/8` BC.
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) ?
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 pairs of points:
(-3, 6) and (2, -6)
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
Show that the point (11, – 2) is equidistant from (4, – 3) and (6, 3)
The points (– 4, 0), (4, 0), (0, 3) are the vertices of a ______.
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.