Advertisements
Advertisements
प्रश्न
Find the distance of the following points from the origin:
(i) A(5,- 12)
Advertisements
उत्तर
A(5,- 12)
Let O(0,0) be the origin
`OA = sqrt((5-0)^2 +(-12 - 0)^2)`
`= sqrt((5)^2 +(-12)^2)`
`=sqrt(25+144)`
`=sqrt(169)`
=13 units
APPEARS IN
संबंधित प्रश्न
Show that four points (0, – 1), (6, 7), (–2, 3) and (8, 3) are the vertices of a rectangle. Also, find its area
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 coordinates of the circumcentre of the triangle whose vertices are (8, 6), (8, – 2) and (2, – 2). Also, find its circum radius
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.
Check whether (5, -2), (6, 4) and (7, -2) are the vertices of an isosceles triangle.
In a classroom, 4 friends are seated at the points A, B, C and D as shown in the following figure. Champa and Chameli walk into the class and after observing for a few minutes, Champa asks Chameli, “Don’t you think ABCD is a square?” Chameli disagrees.
Using distance formula, find which of them is correct.

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.
Find all possible values of x for which the distance between the points
A(x,-1) and B(5,3) is 5 units.
Find the distance of the following point from the origin :
(6 , 8)
Find the distance between the following point :
(sec θ , tan θ) and (- tan θ , sec θ)
Prove that the points (7 , 10) , (-2 , 5) and (3 , -4) are vertices of an isosceles right angled triangle.
The distance between the points (3, 1) and (0, x) is 5. Find x.
Show that (-3, 2), (-5, -5), (2, -3) and (4, 4) are the vertices of a rhombus.
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

Find distance between points O(0, 0) and B(–5, 12).
Show that the point (0, 9) is equidistant from the points (–4, 1) and (4, 1).
Seg OA is the radius of a circle with centre O. The coordinates of point A is (0, 2) then decide whether the point B(1, 2) is on the circle?

The point which divides the lines segment joining the points (7, -6) and (3, 4) in ratio 1 : 2 internally lies in the ______.
Find the distance between the points O(0, 0) and P(3, 4).
