Advertisements
Advertisements
प्रश्न
Find the distance of the following points from the origin:
(ii) B(-5,5)
Advertisements
उत्तर
B(-5,5)
Let O(0,0) be the origin.
`OB = sqrt((-5-0)^2 + (5-0)^2)`
`= sqrt((-5)^2 +(5)^2)`
`=sqrt(25+25)`
`=sqrt(50)`
`= sqrt(25xx2)`
`=5 sqrt(2)` units
APPEARS IN
संबंधित प्रश्न
If A(5, 2), B(2, −2) and C(−2, t) are the vertices of a right angled triangle with ∠B = 90°, then find the value of t.
If the point P(2, 2) is equidistant from the points A(−2, k) and B(−2k, −3), find k. Also find the length of AP.
Find a relation between x and y such that the point (x, y) is equidistant from the point (3, 6) and (−3, 4).
Show that the points A (1, −2), B (3, 6), C (5, 10) and D (3, 2) are the vertices of a parallelogram.
An equilateral triangle has two vertices at the points (3, 4) and (−2, 3), find the coordinates of the third vertex.
Find the distance between the following pair of point in the coordinate plane :
(5 , -2) and (1 , 5)
Find the distance of a point (13 , -9) from another point on the line y = 0 whose abscissa is 1.
Find the value of m if the distance between the points (m , -4) and (3 , 2) is 3`sqrt 5` units.
Find the relation between x and y if the point M (x,y) is equidistant from R (0,9) and T (14 , 11).
Prove that the points (1 ,1),(-4 , 4) and (4 , 6) are the certices of an isosceles triangle.
Find the co-ordinates of points on the x-axis which are at a distance of 17 units from the point (11, -8).
What point on the x-axis is equidistant from the points (7, 6) and (-3, 4)?
Calculate the distance between the points P (2, 2) and Q (5, 4) correct to three significant figures.
KM is a straight line of 13 units If K has the coordinate (2, 5) and M has the coordinates (x, – 7) find the possible value of x.
Show that the quadrilateral with vertices (3, 2), (0, 5), (- 3, 2) and (0, -1) is a square.
If the distance between the points (4, P) and (1, 0) is 5, then the value of p is ______.
The points (– 4, 0), (4, 0), (0, 3) are the vertices of a ______.
Name the type of triangle formed by the points A(–5, 6), B(–4, –2) and C(7, 5).
If (a, b) is the mid-point of the line segment joining the points A(10, –6) and B(k, 4) and a – 2b = 18, find the value of k and the distance AB.
