Find the distance of the point `P` from the line `l` in that : `l: 12x-7=0, P-= (3, -1)`

Find the distance of the point P from the line l in that : l: x/a - y/b = 1 and P-= (b, a)

Find the distance of the point P from the line l in that : l:12(x+6)=5 (y-2) and P-=(-3, -4)

Find the distance of the point P from the line l in that : l : 12 (x+6) = 5 (y-2) and P-= (-1, 1)

Find the distance of the point P from the lines AB in the following cases : P(4, 2), AB is 5x-12y-9=0

Find the distance of the point P from the lines AB in the following cases : P(0, 0), AB is h(x+h)+k(y+k)=0

Find the distance from the point P(3,8,1) to the line (x-3)/3=(y+7)/(-1)=(z+2)/5 .

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.

Consider two lines L_1a n dL_2 given by x-y=0 and x+y=0 , respectively, and a moving point P(x , y)dot Let d(P , L_1),i=1,2, represents the distance of point P from the line L_idot If point P moves in a certain region R in such a way that 2lt=d(P , L_1)+d(P , L_2)lt=4 , find the area of region Rdot

If sum of the perpendicular distances of a variable point P (x , y) from the lines x + y - 5 = 0 and 3x - 2y +7 = 0 is always 10. Show that P must move on a line.

If sum of the perpendicular distances of a variable point P (x , y) from the lines x + y =5 and 3x - 2y +7 = 0 is always 10. Show that P must move on a line.