Advertisements
Advertisements
प्रश्न
Find the distance between the following pairs of point in the coordinate plane :
(4 , 1) and (-4 , 5)
उत्तर
A = (4 , 1) , B = (-4 , 5)
AB = `sqrt (("x"_2 - "x"_1)^2 + ("y"_2 - "y"_1)^2)`
`= sqrt ((-4-4)^2 + (5 - 1)^2)`
`= sqrt (64 + 16)`
`= sqrt 80` = 4`sqrt 5` units.
APPEARS IN
संबंधित प्रश्न
Show that the points (a, a), (–a, –a) and (– √3 a, √3 a) are the vertices of an equilateral triangle. Also find its area.
Find the distance between the following pairs of points:
(2, 3), (4, 1)
If the distances of P(x, y) from A(5, 1) and B(–1, 5) are equal, then prove that 3x = 2y
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 the distance of the following points from the origin:
(ii) B(-5,5)
Find the coordinate of O , the centre of a circle passing through A (8 , 12) , B (11 , 3), and C (0 , 14). Also , find its radius.
Prove that the points (0 , 0) , (3 , 2) , (7 , 7) and (4 , 5) are the vertices of a parallelogram.
Find the distance between the origin and the point:
(-8, 6)
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 ______
Show that the point (11, – 2) is equidistant from (4, – 3) and (6, 3)
