Mark the points 5, -2, -1, 4 on the given number line :

Mark the points 6, -4 on a number line and also find the distance between them

The point P is the intersection of the straight line joining the points Q(2, 3, 5) and R (1, -1, 4) with the plane 5x- 4y-z=1 . If S is the foot of the perpendicular drawn from the point T(2, 1, 4) to QR, then the length of the line segment PS is:

The projection of the line segment joining the points (1, -1, 3) and (2, -4, 11) on the line joining the points (-1, 2, 3) and (3, -2, 10) , is ……

Locate the indicated points on the number lines given below:

Statement 1: (5x-5)^2+(5y+10)^2=(3x+4y+5)^2 is a parabola. Statement 2: If the distance of the point from a given line and from a given point (not lying on the given line) is equal, then the locus of the variable point is a parabola.

Show that the line through the points (4, 7, 8), (2, 3, 4) is parallel to the line through the points ( 1, 2, 1) , (1, 2, 5) .

Show that the line through the points (4, 7, 8), (2, 3, 4) is parallel to the line through the points ( -1, - 2, 1) , (1, 2, 5) .

A line L lies in the plane 2x-y-z=4 such that it is perpendicular to the line (x-2)/(2)=(y-3)/(1)=(z-4)/(5) . The line L passes through the point of intersection of the given line and given plane. Which of the following points does not satisfy line L?

The projection of the line joining the ponts (3,4,5) and (4,6,3) on the line joining the points (-1,2,4) and (1,0,5) is

Find the distance of the point P(-1,-5,-10) from the point of intersection of the line joining the points A(2,-1,2)a n dB(5,3,4) with the plane x-y+z=5.