Home
Class 12
MATHS
If a line in the space passes through th...

If a line in the space passes through the points `(x_(1),y_(1),z_(1))` and `(x_(2),y_(2),z_(2))`
then its direction consines are proportional to

A

(a) `x_(1)x_(2), y_(1)y_(2), z_(1),z_(2)`

B

(b) `x_(1)^(2) -x_(2)^(2), y_(1)^(2) - y_(2)^(2), z_(1)^(2) -z_(2)^(2)`

C

(c) `x_(1) + x_(2), y_(1) +y_(2), z_(1) +z_(2)`

D

(d) `x_(1)-x_(2), y_(1)-y_(2), z_(1)-z_(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The equation of the plane through the points (2,-1,0) , (3,-4,5) parallel to a line with direction cosines proportional to 2,3,4 is 9x-2y-3z=k , where k is

A plane which passes through the point (3,2,0) and the line (x-4)/1=(y-7)/5=(z-4)/4 is

The equation of the plane passing through the points (0,1,2) and (-1,0,3) and perpendicular to the plane 2x+3y+z=5 is

If the plane x- 3y +5z= d passes through the point (1, 2, 4), then the intercepts cut by it on the axes of x, y, z are respectively-

The equation of plane passing through the point (1 ,2 ,3) and parallel to the plane 2x+3y-4z=0 is

The equation of the line passing though the point (1,1,-1) and perpendicular to the plane x -2y - 3z =7 is :

The equation of the line passing through the point (1,2) and perpendicular to the line x+y+1=0 is

A line passes through the point (2,2) and is perpendicular to the line 3x + y =3, then its y -intercept is

The equation of the plane passing through A(x_1,y_1,z_1) and containg the line (x-x_2)/(d_1)=(y-y_2)/(d_2)=(z-z_2)/(d_3) is

The lines (x-1)/(2)=(y+1)/(2)=(z-1)/(4) and (x-3)/(1)=(y-6)/(2)=(z)/(1) intersect each other at point