Advertisements
Advertisements
प्रश्न
Find the distance between the following pair of point in the coordinate plane.
(1 , 3) and (3 , 9)
उत्तर
A = (1 , 3) , B = (3 , 9)
AB = `sqrt (("x"_2 - "x"_1)^2 + ("y"_2 - "y"_1)^2)`
`= sqrt ((3 - 1)^2 + (9 - 3)^2)`
`= sqrt (4 + 36)`
`= sqrt 40` units = 2`sqrt 10` units.
APPEARS IN
संबंधित प्रश्न
Name the type of quadrilateral formed, if any, by the following point, and give reasons for your answer:
(−3, 5), (3, 1), (0, 3), (−1, −4)
If the distance between the points (4, k) and (1, 0) is 5, then what can be the possible values of k?
Find the distance between the following pair of points:
(a+b, b+c) and (a-b, c-b)
Find the distance of the following points from the origin:
(iii) C (-4,-6)
Find the distance between the following point :
(sin θ , cos θ) and (cos θ , - sin θ)
Prove that the points (a, b), (a + 3, b + 4), (a − 1, b + 7) and (a − 4, b + 3) are the vertices of a parallelogram.
A(2, 5), B(-2, 4) and C(-2, 6) are the vertices of a triangle ABC. Prove that ABC is an isosceles triangle.
Show that (-3, 2), (-5, -5), (2, -3) and (4, 4) are the vertices of a rhombus.
Calculate the distance between A (5, -3) and B on the y-axis whose ordinate is 9.
Show that points A(–1, –1), B(0, 1), C(1, 3) are collinear.