Show that the relation `R` on the set `A` of points in a plane, given by `R={(P ,\ Q):` Distance of the point `P` from the origin is same as the distance of the point `Q` from the origin}, is an equivalence relation. Further show that the set of all points related to a point `P!=(0,\ 0)` is the circle passing through `P` with origin as centre.

Show that the relation R in the set A of points in a plane give by R = {(P,Q) : distance of the point P from the origin is same as the distance of the point Q from the origin} , is an equivalence relation. Further , show that the set equivalence relation . Further , show that the set of all points related to a point P ne (0,0) is the circle passing through P with origin as centre.

State the distance of the point (20, 21) from the origin.

Distance of the point (3, 4, 5) from the origin (0, 0, 0) is

The distance of point (-6,8) from the origin is . . . . units.

Let A = {p, q, r}. Which of the following is an equivalence relation on A?

The distance of point P(3, 4, 5) from the YZ-plane is ____ .

Show that the relation R in the set Z of intergers given by R ={(a,b):2 divides a-b } is an equivalence relation.

show that the set of all point satisfying |z-1|=|z-i| represents a line passing through origin with slope -1 .

Show that the relation R in the set A of all the books in a library of a college , given by R = {(x,y) : x and y have same number of pages} is an equivalence relation.

If the distance of the plane x - y + z + lambda = 0 from the point (1, 1, 1) is d_1 and the distance of this point from the origin is d_2 and d_2d_2 = 5 then find the value of lambda .