Theorem: The distance between two points `P(x_1;y_1)` and `Q(x_2;y_2)` is given by sqrt((x_2-x_1)^2+(y_2-y_1)^2)

Find the distance between points P(x_1, y_1) and Q(x_2, y_2) : PQ is parallel to x-axis

Find the distance between points P(x_1, y_1) and Q(x_2, y_2) : PQ is parallel to y-axis

Find the distance between the points P(x_(1),y_(1),z_(1)) and Q(x_(2),y_(2),z_(2))

The ratio in which the line segment joining P(x_1, y_1) and Q(x_2, y_2) is divided by x-axis is y_1: y_2 (b) y_1: y_2 (c) x_1: x_2 (d) x_1: x_2

Distance between P (x_(1), y_(1)) and Q (x_(2), y_(2)) when PQ is parallel to y - axis is

Prove that the line passing through the points (x_(1),y_(1)) and (x_(2),y_(2)) is at a distance of |(x_(1)y_(2)-x_(2)y_(1))/(sqrt((x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)))| from origin.

If the distance of any point P(x,y) from the point Q(x_(1),y_(1)) is given by d(P,Q)=max.{|x-x_(1)|,|y-y_(1)|} .If Q=(1,2) and d(P,Q)=3 ,then the locus of P is

Show that the equation of the chord of the parabola y^2 = 4ax through the points (x_1, y_1) and (x_2, y_2) on it is : (y-y_1) (y-y_2) = y^2 - 4ax

The equation to the chord joining two points (x_1,y_1) and (x_2,y_2) on the rectangular hyperbola xy=c^2 is: (A) x/(x_1+x_2)+y/(y_1+y_2)=1 (B) x/(x_1-x_2)+y/(y_1-y_2)=1 (C) x/(y_1+y_2)+y/(x_1+x_2)=1 (D) x/(y_1-y_2)+y/(x_1-x_2)=1