The point on the line `(x-2)/1=(y+3)/(-2)=(z+5)/(-2)` at a distance of 6 from the point `(2,-3,-5)` is a. `(3,-5,-3)` b. `(4,-7,-9)` c. `(0,2,-1)` d. none of these

Find the points on the line (x+2)/(3)=(y+1)/(2)=(z-3)/(2) at a distance of 5 units from the point P(1,3,3).

Find the points on the line (x+2)/(3)=(y+1)/(2)=(z-3)/(2) at a distance 3sqrt(2) units from the points (1,2,3).

The image of the line (x -1)/(3) = (y -3)/(1) = (z -4)/(-5) in the plane 2x - y + z + 3=0 is the line-

The coordinates of the point where the line (x-3)/(1)=(y-4)/(2)=(z-5)/(2) meets the plane x+y+z=17 are -

Column I, Column II The coordinates of a point on the line x=4y+5,z=3y-6 at a distance 3 from the point (5,3,-6) is/are, p. (-1,-2,0) The plane containing the lines (x-2)/3=(y+2)/5=(z+5)/7 and parallel to hat i+4 hat j+7 hat k has the point, q. (5,0,-6) A line passes through two points A(2-3,-1)a n dB(8,-1,2)dot The coordinates of a point on this line nearer to the origin and at a distance of 14 units from A is/are, r. (2,5,7) The coordinates of the foot of the perpendicular from the point (3,-1,11) on the line x/2=(y-2)/3=(z-3)/4 is/are, s. (14 ,15)

Show that the line (x+3)/(4)=(y-5)/(-1)=(z+7)/(2) lies in the plane x-2y-3z-8=0 .

Find the image of the point (1, 2, 3) in the line (x-6)/(3)=(y-7)/(2)=(z-7)/(-2) .

If the tangents are drawn from any point on the line x+y=3 to the circle x^2+y^2=9 , then the chord of contact passes through the point. (a) (3, 5) (b) (3, 3) (c) (5, 3) (d) none of these

Find the equation of the plane containing the lines 2x-y+z-3=0,3x+y+z=5 and a t a distance of 1/sqrt6 from the point (2,1,-1).

Find the distance of the point (1,2,3) from the line (x-6)/2 = (y-7)/2= (z-7)/-3 .