Advertisements
Advertisements
Question
Find the distance between the following pairs of points:
`(3/5,2) and (-(1)/(5),1(2)/(5))`
Advertisements
Solution
`(3/5,2) and (-(1)/(5),1(2)/(5))`
Distance between the given points
= `sqrt((-1/5 - 3/5)^2+(1 2/5 - 2)^2)`
= `sqrt((-4/5)^2+((7 - 10)/(5))^2)`
= `sqrt((16)/(25)+(9)/(25))`
= `sqrt((25)/(25)`
= 1
APPEARS IN
RELATED QUESTIONS
Find the distance of the following points from the origin:
(ii) B(-5,5)
Find the distance of the following points from the origin:
(iii) C (-4,-6)
Using the distance formula, show that the given points are collinear:
(-2, 5), (0,1) and (2, -3)
Determine whether the point is collinear.
R(0, 3), D(2, 1), S(3, –1)
Find the distance between the following pairs of point in the coordinate plane :
(7 , -7) and (2 , 5)
Find the distance of the following point from the origin :
(6 , 8)
Find the distance between the following point :
(Sin θ - cosec θ , cos θ - cot θ) and (cos θ - cosec θ , -sin θ - cot θ)
Prove that the points P (0, -4), Q (6, 2), R (3, 5) and S (-3, -1) are the vertices of a rectangle PQRS.
Show that the point (0, 9) is equidistant from the points (– 4, 1) and (4, 1)
The equation of the perpendicular bisector of line segment joining points A(4,5) and B(-2,3) is ______.
